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Author ID: finster.felix Recent zbMATH articles by "Finster, Felix"
Published as: Finster, Felix; Finster, F.
External Links: MGP · Wikidata · GND · IdRef
all top 5

Serials

15 Advances in Theoretical and Mathematical Physics
14 Journal of Mathematical Physics
7 Calculus of Variations and Partial Differential Equations
7 Annales Henri Poincaré
6 Communications in Mathematical Physics
5 Methods and Applications of Analysis
4 Classical and Quantum Gravity
3 Journal of Mathematical Analysis and Applications
3 Letters in Mathematical Physics
3 Journal für die Reine und Angewandte Mathematik
2 Archive for Rational Mechanics and Analysis
2 Communications on Pure and Applied Mathematics
2 Canadian Journal of Mathematics
2 Michigan Mathematical Journal
2 Communications in Analysis and Geometry
2 Mathematical Research Letters
2 Advances in Calculus of Variations
1 International Journal of Modern Physics A
1 Nuclear Physics. B
1 Physics Letters. A
1 Journal of Geometry and Physics
1 Journal of Differential Equations
1 Mathematische Nachrichten
1 Memoirs of the American Mathematical Society
1 Annals of Global Analysis and Geometry
1 Annals of Physics
1 Bulletin of the American Mathematical Society. New Series
1 International Journal of Modern Physics D
1 Vietnam Journal of Mathematics
1 Communications in Mathematical Sciences
1 Journal of Hyperbolic Differential Equations
1 Foundations of Physics
1 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications
1 Pure and Applied Mathematics Quarterly
1 Fundamental Theories of Physics
1 AMS/IP Studies in Advanced Mathematics
1 Journal of Physics A: Mathematical and Theoretical
1 Discrete and Continuous Dynamical Systems. Series S
1 ICCM Notices
1 Annals of Mathematical Sciences and Applications

Publications by Year

Citations contained in zbMATH Open

96 Publications have been cited 788 times in 275 Documents Cited by Year
Decay of solutions of the wave equation in the Kerr geometry. Zbl 1194.83015
Finster, F.; Kamran, N.; Smoller, J.; Yau, S.-T.
59
2006
The continuum limit of causal fermion systems. From Planck scale structures to macroscopic physics. Zbl 1353.81001
Finster, Felix
38
2016
Nonexistence of time-periodic solutions of the Dirac equation in an axisymmetric black hole geometry. Zbl 1049.83014
Finster, Felix; Kamran, Niky; Smoller, Joel; Yau, Shing-Tung
26
2000
Decay rates and probability estimates for massive Dirac particles in the Kerr-Newman black hole geometry. Zbl 1026.83029
Finster, F.; Kamran, N.; Smoller, J.; Yau, S.-T.
24
2002
The principle of the fermionic projector. Zbl 1090.83002
Finster, Felix
21
2006
Particle-like solutions of the Einstein-Dirac-Maxwell equations. Zbl 0936.83008
Finster, Felix; Smoller, Joel; Yau, Shing-Tung
20
1999
Causal variational principles on measure spaces. Zbl 1213.49006
Finster, Felix
20
2010
On the support of minimizers of causal variational principles. Zbl 1306.49060
Finster, Felix; Schiefeneder, Daniela
18
2013
Non-existence of time-periodic solutions of the Dirac equation in a Reissner- Nordström black hole background. Zbl 0983.83021
Finster, Felix; Smoller, Joel; Yau, Shing-Tung
17
2000
The fermionic projector in a time-dependent external potential: mass oscillation property and Hadamard states. Zbl 1345.81033
Finster, Felix; Murro, Simone; Röken, Christian
17
2016
A Hamiltonian formulation of causal variational principles. Zbl 1375.49060
Finster, Felix; Kleiner, Johannes
17
2017
Erratum: Decay of solutions of the wave equation in the Kerr geometry. Zbl 1194.83014
Finster, F.; Kamran, N.; Smoller, J.; Yau, S.-T.
16
2008
Curvature estimates and the positive mass theorem. Zbl 1030.53041
Bray, Hubert; Finster, Felix
15
2002
Definition of the Dirac sea in the presence of external fields. Zbl 0929.35123
Finster, Felix
14
1998
An integral spectral representation of the propagator for the wave equation in the Kerr geometry. Zbl 1089.83017
Finster, F.; Kamran, N.; Smoller, J.; Yau, S.-T.
14
2005
A Lorentzian quantum geometry. Zbl 1346.82002
Finster, Felix; Grotz, Andreas
14
2012
A variational principle in discrete space-time: existence of minimizers. Zbl 1131.49031
Finster, Felix
13
2007
Gupta-Bleuler quantization of the Maxwell field in globally hyperbolic space-times. Zbl 1321.81063
Finster, Felix; Strohmaier, Alexander
13
2015
On the structure of minimizers of causal variational principles in the non-compact and equivariant settings. Zbl 1281.49039
Bernard, Yann; Finster, Felix
13
2014
Local \(\text{U}(2,2)\) symmetry in relativistic quantum mechanics. Zbl 0935.81004
Finster, Felix
12
1998
A level set analysis of the Witten spinor with applications to curvature estimates. Zbl 1178.53045
Finster, Felix
12
2009
Noether-like theorems for causal variational principles. Zbl 1337.49076
Finster, Felix; Kleiner, Johannes
12
2016
Complex structures on jet spaces and bosonic Fock space dynamics for causal variational principles. Zbl 1479.58018
Finster, Felix; Kamran, Niky
12
2021
Causal fermion systems: a quantum space-time emerging from an action principle. Zbl 1246.81174
Finster, Felix; Grotz, Andreas; Schiefeneder, Daniela
11
2012
A formulation of quantum field theory realizing a sea of interacting Dirac particles. Zbl 1231.81063
Finster, Felix
11
2011
Linear stability of the non-extreme Kerr black hole. Zbl 1387.83045
Finster, Felix; Smoller, Joel
11
2018
Light-cone expansion of the Dirac sea in the presence of chiral and scalar potentials. Zbl 0971.81102
Finster, Felix
11
2000
A non-perturbative construction of the fermionic projector on globally hyperbolic manifolds. I: Space-times of finite lifetime. Zbl 1338.83032
Finster, Felix; Reintjes, Moritz
11
2015
Curvature estimates in asymptotically flat manifolds of positive scalar curvature. Zbl 1041.53027
Finster, Felix; Kath, Ines
11
2002
A rigorous treatment of energy extraction from a rotating black hole. Zbl 1200.83068
Finster, F.; Kamran, N.; Smoller, J.; Yau, S.-T.
11
2009
Perturbative quantum field theory in the framework of the fermionic projector. Zbl 1295.81111
Finster, Felix
10
2014
The fermionic signature operator and quantum states in Rindler space-time. Zbl 1366.81240
Finster, Felix; Murro, Simone; Röken, Christian
10
2017
Non-existence of black hole solutions for a spherically symmetric, static Einstein-Dirac-Maxwell system. Zbl 0939.83037
Finster, Felix; Smoller, Joel; Yau, Shing-Tung
9
1999
A non-perturbative construction of the fermionic projector on globally hyperbolic manifolds. II: space-times of infinite lifetime. Zbl 1361.83004
Finster, Felix; Reintjes, Moritz
9
2016
On the regularized fermionic projector of the vacuum. Zbl 1153.81358
Finster, Felix
9
2008
Linearized fields for causal variational principles: existence theory and causal structure. Zbl 1451.35005
Dappiaggi, Claudio; Finster, Felix
9
2020
The fermionic signature operator in De Sitter spacetime. Zbl 1436.81163
Dappiaggi, Claudio; Finster, Felix; Murro, Simone; Radici, Emanuela
9
2020
Lorentzian spectral geometry for globally hyperbolic surfaces. Zbl 1360.58014
Finster, Felix; Müller, Olaf
8
2016
Perturbation theory for critical points of causal variational principles. Zbl 07435483
Finster, Felix
8
2020
Decay of solutions of the Teukolsky equation for higher spin in the Schwarzschild geometry. Zbl 1178.81205
Finster, Felix; Smoller, Joel
7
2009
Self-adjointness of the Dirac Hamiltonian for a class of non-uniformly elliptic boundary value problems. Zbl 1386.35042
Finster, Felix; Röken, Christian
7
2016
A time-independent energy estimate for outgoing scalar waves in the Kerr geometry. Zbl 1180.35524
Finster, Felix; Smoller, Joel
7
2008
Banach manifold structure and infinite-dimensional analysis for causal fermion systems. Zbl 1471.58003
Finster, Felix; Lottner, Magdalena
7
2021
The Dirac equation and the normalization of its solutions in a closed Friedmann-Robertson-Walker universe. Zbl 1166.83019
Finster, Felix; Reintjes, Moritz
6
2009
Erratum: ”Nonexistence of time-periodic solutions of the Dirac equation in an axisymmetric black hole geometry”. Zbl 1049.83015
Finster, Felix; Kamran, Niky; Smoller, Joel; Yau, Shing-Tung
6
2000
Perturbative description of the fermionic projector: normalization, causality, and Furry’s theorem. Zbl 1295.81112
Finster, Felix; Tolksdorf, Jürgen
6
2014
The fermionic signature operator and Hadamard states in the presence of a plane electromagnetic wave. Zbl 1368.81150
Finster, Felix; Reintjes, Moritz
6
2017
Singular support of minimizers of the causal variational principle on the sphere. Zbl 1429.49047
Bäuml, Lucia; Finster, Felix; Schiefeneder, Daniela; von der Mosel, Heiko
6
2019
A gauge fixing procedure for causal fermion systems. Zbl 1454.81143
Finster, Felix; Kindermann, Sebastian
6
2020
The causal action in Minkowski space and surface layer integrals. Zbl 1458.83003
Finster, Felix
6
2020
Entanglement and second quantization in the framework of the fermionic projector. Zbl 1207.81011
Finster, Felix
6
2010
Quantum oscillations can prevent the big bang singularity in an Einstein-Dirac cosmology. Zbl 1185.83030
Finster, Felix; Hainzl, Christian
5
2010
The causal perturbation expansion revisited: rescaling the interacting Dirac sea. Zbl 1311.81253
Finster, Felix; Grotz, Andreas
5
2010
The linear dynamics of wave functions in causal fermion systems. Zbl 1472.81334
Finster, Felix; Kamran, Niky; Oppio, Marco
5
2021
Spinors on singular spaces and the topology of causal fermion systems. Zbl 1445.53001
Finster, Felix; Kamran, Niky
5
2019
Spectral estimates and non-selfadjoint perturbations of spheroidal wave operators. Zbl 1124.34060
Finster, Felix; Schmid, Harald
4
2006
Light-cone expansion of the Dirac sea to first order in the external potential. Zbl 0963.81019
Finster, Felix
4
1999
Linear waves in the Kerr geometry: a mathematical voyage to black hole physics. Zbl 1177.83082
Finster, Felix; Kamran, Niky; Smoller, Joel; Yau, Shing-Tung
4
2009
Fermion systems in discrete space-time – outer symmetries and spontaneous symmetry breaking. Zbl 1138.81043
Finster, Felix
4
2007
Causal fermion systems: an overview. Zbl 1336.81002
Finster, Felix
4
2016
Causal fermion systems and the ETH approach to quantum theory. Zbl 1475.83003
Finster, Felix; Fröhlich, Jürg; Oppio, Marco; Paganini, Claudio F.
4
2021
An integral spectral representation of the massive Dirac propagator in the Kerr geometry in Eddington-Finkelstein-type coordinates. Zbl 1480.81058
Finster, Felix; Röken, Christian
4
2018
The regularized Hadamard expansion. Zbl 1450.35229
Finster, Felix; Kraus, Margarita
4
2020
A class of conserved surface layer integrals for causal variational principles. Zbl 1433.49011
Finster, Felix; Kleiner, Johannes
4
2019
An action principle for the masses of Dirac particles. Zbl 1202.81223
Finster, Felix; Hoch, Stefan
4
2009
Correction to: “Gupta-Bleuler quantization of the Maxwell field in globally hyperbolic space-times”. Zbl 1380.81456
Finster, Felix; Strohmaier, Alexander
3
2018
From discrete space-time to Minkowski space: basic mechanisms, methods and perspectives. Zbl 1166.83005
Finster, Felix
3
2009
Fermion systems in discrete space-time exemplifying the spantaneous generation of a causal structure. Zbl 1159.83308
Diethert, A.; Finster, F.; Schiefeneder, D.
3
2008
Absence of static, spherically symmetric black hole solutions for Einstein-Dirac-Yang/Mills equations with complete fermion shells. Zbl 1016.83027
Finster, Felix; Smoller, Joel; Yau, Shing-Tung
3
2000
Hypersurfaces of prescribed Gauß curvature in exterior domains. Zbl 1087.35044
Finster, Felix; Schnürer, Oliver C.
3
2002
Fermionic Fock spaces and quantum states for causal fermion systems. Zbl 1495.81108
Finster, Felix; Kamran, Niky
3
2022
Bosonic loop diagrams as perturbative solutions of the classical field equations in \(\phi^4\)-theory. Zbl 1276.70020
Finster, Felix; Tolksdorf, Jürgen
3
2012
A mechanism of baryogenesis for causal fermion systems. Zbl 1500.83031
Finster, Felix; Jokel, Maximilian; Paganini, Claudio F.
3
2022
Curvature estimates in asymptotically flat Lorentzian manifolds. Zbl 1083.53064
Finster, Felix; Kraus, Margarita
2
2005
The interaction of Dirac particles with non-abelian gauge fields and gravity-bound states. Zbl 0984.81079
Finster, Felix; Smoller, Joel; Yau, Shing-Tung
2
2000
\(L^p\)-spectrum of the Schrödinger operator with inverted harmonic oscillator potential. Zbl 1372.81056
Finster, Felix; Isidro, José M.
2
2017
On the initial value problem for causal variational principles. Zbl 1365.49044
Finster, Felix; Grotz, Andreas
2
2017
The fermionic signature operator and space-time symmetries. Zbl 07430960
Finster, Felix; Reintjes, Moritz
2
2018
Local algebras for causal fermion systems in Minkowski space. Zbl 1458.81029
Finster, Felix; Oppio, Marco
2
2020
Positive functionals induced by minimizers of causal variational principles. Zbl 1419.49056
Finster, Felix
2
2019
The fermionic signature operator in the exterior Schwarzschild geometry. Zbl 1431.81064
Finster, Felix; Röken, Christian
2
2019
Two-dimensional area and matter flux in the theory of causal fermion systems. Zbl 1457.81133
Curiel, Erik; Finster, Felix; Isidro, José M.
2
2020
Progress and visions in quantum theory in view of gravity: bridging foundations of physics and mathematics. Selected talks presented at the seventh international conference, Leipzig, Germany, October 1–5, 2018. Zbl 1446.83001
2
2020
The principle of the fermionic projector: an approach for quantum gravity? Zbl 1120.83017
Finster, Felix
1
2007
A weighted \(L^2\)-estimate of the Witten spinor in asymptotically Schwarzschild manifolds. Zbl 1133.58304
Finster, Felix; Kraus, Margarita
1
2007
The chiral index of the fermionic signature operator. Zbl 1385.81036
Finster, Felix
1
2017
The interaction of Dirac particles with non-abelian gauge fields and gravity – black holes. Zbl 0971.83037
Finster, Felix; Smoller, Joel; Yau, Shing-Tung
1
2000
Some recent progress in classical general relativity. Zbl 0984.83003
Finster, Felix; Smoller, Joel; Yau, Shing-Tung
1
2000
Some curvature problems in semi-Riemannian geometry. Zbl 1252.53082
Finster, Felix; Nardmann, Marc
1
2012
Absence of zeros and asymptotic error estimates for Airy and parabolic cylinder functions. Zbl 1293.33005
Finster, Felix; Smoller, Joel
1
2014
A spatially homogeneous and isotropic Einstein-Dirac cosmology. Zbl 1316.83031
Finster, Felix; Hainzl, Christian
1
2011
A notion of entropy for causal fermion systems. Zbl 1476.49057
Finster, Felix
1
2021
Construction of global solutions to the linearized field equations for causal variational principles. Zbl 07786186
Finster, Felix; Kraus, Margarita
1
2024
A positive mass theorem for static causal fermion systems. Zbl 1507.83013
Finster, Felix; Platzer, Andreas
1
2021
Stationary spacetimes and self-adjointness in Klein-Gordon theory. Zbl 1434.53025
Finster, Felix; Much, Albert; Oeckl, Robert
1
2020
A mechanism for dark matter and dark energy in the theory of causal fermion systems. Zbl 1521.83066
Finster, Felix; Isidro, José M.
1
2023
Construction of global solutions to the linearized field equations for causal variational principles. Zbl 07786186
Finster, Felix; Kraus, Margarita
1
2024
A mechanism for dark matter and dark energy in the theory of causal fermion systems. Zbl 1521.83066
Finster, Felix; Isidro, José M.
1
2023
Fermionic Fock spaces and quantum states for causal fermion systems. Zbl 1495.81108
Finster, Felix; Kamran, Niky
3
2022
A mechanism of baryogenesis for causal fermion systems. Zbl 1500.83031
Finster, Felix; Jokel, Maximilian; Paganini, Claudio F.
3
2022
Complex structures on jet spaces and bosonic Fock space dynamics for causal variational principles. Zbl 1479.58018
Finster, Felix; Kamran, Niky
12
2021
Banach manifold structure and infinite-dimensional analysis for causal fermion systems. Zbl 1471.58003
Finster, Felix; Lottner, Magdalena
7
2021
The linear dynamics of wave functions in causal fermion systems. Zbl 1472.81334
Finster, Felix; Kamran, Niky; Oppio, Marco
5
2021
Causal fermion systems and the ETH approach to quantum theory. Zbl 1475.83003
Finster, Felix; Fröhlich, Jürg; Oppio, Marco; Paganini, Claudio F.
4
2021
A notion of entropy for causal fermion systems. Zbl 1476.49057
Finster, Felix
1
2021
A positive mass theorem for static causal fermion systems. Zbl 1507.83013
Finster, Felix; Platzer, Andreas
1
2021
Linearized fields for causal variational principles: existence theory and causal structure. Zbl 1451.35005
Dappiaggi, Claudio; Finster, Felix
9
2020
The fermionic signature operator in De Sitter spacetime. Zbl 1436.81163
Dappiaggi, Claudio; Finster, Felix; Murro, Simone; Radici, Emanuela
9
2020
Perturbation theory for critical points of causal variational principles. Zbl 07435483
Finster, Felix
8
2020
A gauge fixing procedure for causal fermion systems. Zbl 1454.81143
Finster, Felix; Kindermann, Sebastian
6
2020
The causal action in Minkowski space and surface layer integrals. Zbl 1458.83003
Finster, Felix
6
2020
The regularized Hadamard expansion. Zbl 1450.35229
Finster, Felix; Kraus, Margarita
4
2020
Local algebras for causal fermion systems in Minkowski space. Zbl 1458.81029
Finster, Felix; Oppio, Marco
2
2020
Two-dimensional area and matter flux in the theory of causal fermion systems. Zbl 1457.81133
Curiel, Erik; Finster, Felix; Isidro, José M.
2
2020
Progress and visions in quantum theory in view of gravity: bridging foundations of physics and mathematics. Selected talks presented at the seventh international conference, Leipzig, Germany, October 1–5, 2018. Zbl 1446.83001
2
2020
Stationary spacetimes and self-adjointness in Klein-Gordon theory. Zbl 1434.53025
Finster, Felix; Much, Albert; Oeckl, Robert
1
2020
Singular support of minimizers of the causal variational principle on the sphere. Zbl 1429.49047
Bäuml, Lucia; Finster, Felix; Schiefeneder, Daniela; von der Mosel, Heiko
6
2019
Spinors on singular spaces and the topology of causal fermion systems. Zbl 1445.53001
Finster, Felix; Kamran, Niky
5
2019
A class of conserved surface layer integrals for causal variational principles. Zbl 1433.49011
Finster, Felix; Kleiner, Johannes
4
2019
Positive functionals induced by minimizers of causal variational principles. Zbl 1419.49056
Finster, Felix
2
2019
The fermionic signature operator in the exterior Schwarzschild geometry. Zbl 1431.81064
Finster, Felix; Röken, Christian
2
2019
Linear stability of the non-extreme Kerr black hole. Zbl 1387.83045
Finster, Felix; Smoller, Joel
11
2018
An integral spectral representation of the massive Dirac propagator in the Kerr geometry in Eddington-Finkelstein-type coordinates. Zbl 1480.81058
Finster, Felix; Röken, Christian
4
2018
Correction to: “Gupta-Bleuler quantization of the Maxwell field in globally hyperbolic space-times”. Zbl 1380.81456
Finster, Felix; Strohmaier, Alexander
3
2018
The fermionic signature operator and space-time symmetries. Zbl 07430960
Finster, Felix; Reintjes, Moritz
2
2018
A Hamiltonian formulation of causal variational principles. Zbl 1375.49060
Finster, Felix; Kleiner, Johannes
17
2017
The fermionic signature operator and quantum states in Rindler space-time. Zbl 1366.81240
Finster, Felix; Murro, Simone; Röken, Christian
10
2017
The fermionic signature operator and Hadamard states in the presence of a plane electromagnetic wave. Zbl 1368.81150
Finster, Felix; Reintjes, Moritz
6
2017
\(L^p\)-spectrum of the Schrödinger operator with inverted harmonic oscillator potential. Zbl 1372.81056
Finster, Felix; Isidro, José M.
2
2017
On the initial value problem for causal variational principles. Zbl 1365.49044
Finster, Felix; Grotz, Andreas
2
2017
The chiral index of the fermionic signature operator. Zbl 1385.81036
Finster, Felix
1
2017
The continuum limit of causal fermion systems. From Planck scale structures to macroscopic physics. Zbl 1353.81001
Finster, Felix
38
2016
The fermionic projector in a time-dependent external potential: mass oscillation property and Hadamard states. Zbl 1345.81033
Finster, Felix; Murro, Simone; Röken, Christian
17
2016
Noether-like theorems for causal variational principles. Zbl 1337.49076
Finster, Felix; Kleiner, Johannes
12
2016
A non-perturbative construction of the fermionic projector on globally hyperbolic manifolds. II: space-times of infinite lifetime. Zbl 1361.83004
Finster, Felix; Reintjes, Moritz
9
2016
Lorentzian spectral geometry for globally hyperbolic surfaces. Zbl 1360.58014
Finster, Felix; Müller, Olaf
8
2016
Self-adjointness of the Dirac Hamiltonian for a class of non-uniformly elliptic boundary value problems. Zbl 1386.35042
Finster, Felix; Röken, Christian
7
2016
Causal fermion systems: an overview. Zbl 1336.81002
Finster, Felix
4
2016
Gupta-Bleuler quantization of the Maxwell field in globally hyperbolic space-times. Zbl 1321.81063
Finster, Felix; Strohmaier, Alexander
13
2015
A non-perturbative construction of the fermionic projector on globally hyperbolic manifolds. I: Space-times of finite lifetime. Zbl 1338.83032
Finster, Felix; Reintjes, Moritz
11
2015
On the structure of minimizers of causal variational principles in the non-compact and equivariant settings. Zbl 1281.49039
Bernard, Yann; Finster, Felix
13
2014
Perturbative quantum field theory in the framework of the fermionic projector. Zbl 1295.81111
Finster, Felix
10
2014
Perturbative description of the fermionic projector: normalization, causality, and Furry’s theorem. Zbl 1295.81112
Finster, Felix; Tolksdorf, Jürgen
6
2014
Absence of zeros and asymptotic error estimates for Airy and parabolic cylinder functions. Zbl 1293.33005
Finster, Felix; Smoller, Joel
1
2014
On the support of minimizers of causal variational principles. Zbl 1306.49060
Finster, Felix; Schiefeneder, Daniela
18
2013
A Lorentzian quantum geometry. Zbl 1346.82002
Finster, Felix; Grotz, Andreas
14
2012
Causal fermion systems: a quantum space-time emerging from an action principle. Zbl 1246.81174
Finster, Felix; Grotz, Andreas; Schiefeneder, Daniela
11
2012
Bosonic loop diagrams as perturbative solutions of the classical field equations in \(\phi^4\)-theory. Zbl 1276.70020
Finster, Felix; Tolksdorf, Jürgen
3
2012
Some curvature problems in semi-Riemannian geometry. Zbl 1252.53082
Finster, Felix; Nardmann, Marc
1
2012
A formulation of quantum field theory realizing a sea of interacting Dirac particles. Zbl 1231.81063
Finster, Felix
11
2011
A spatially homogeneous and isotropic Einstein-Dirac cosmology. Zbl 1316.83031
Finster, Felix; Hainzl, Christian
1
2011
Causal variational principles on measure spaces. Zbl 1213.49006
Finster, Felix
20
2010
Entanglement and second quantization in the framework of the fermionic projector. Zbl 1207.81011
Finster, Felix
6
2010
Quantum oscillations can prevent the big bang singularity in an Einstein-Dirac cosmology. Zbl 1185.83030
Finster, Felix; Hainzl, Christian
5
2010
The causal perturbation expansion revisited: rescaling the interacting Dirac sea. Zbl 1311.81253
Finster, Felix; Grotz, Andreas
5
2010
A level set analysis of the Witten spinor with applications to curvature estimates. Zbl 1178.53045
Finster, Felix
12
2009
A rigorous treatment of energy extraction from a rotating black hole. Zbl 1200.83068
Finster, F.; Kamran, N.; Smoller, J.; Yau, S.-T.
11
2009
Decay of solutions of the Teukolsky equation for higher spin in the Schwarzschild geometry. Zbl 1178.81205
Finster, Felix; Smoller, Joel
7
2009
The Dirac equation and the normalization of its solutions in a closed Friedmann-Robertson-Walker universe. Zbl 1166.83019
Finster, Felix; Reintjes, Moritz
6
2009
Linear waves in the Kerr geometry: a mathematical voyage to black hole physics. Zbl 1177.83082
Finster, Felix; Kamran, Niky; Smoller, Joel; Yau, Shing-Tung
4
2009
An action principle for the masses of Dirac particles. Zbl 1202.81223
Finster, Felix; Hoch, Stefan
4
2009
From discrete space-time to Minkowski space: basic mechanisms, methods and perspectives. Zbl 1166.83005
Finster, Felix
3
2009
Erratum: Decay of solutions of the wave equation in the Kerr geometry. Zbl 1194.83014
Finster, F.; Kamran, N.; Smoller, J.; Yau, S.-T.
16
2008
On the regularized fermionic projector of the vacuum. Zbl 1153.81358
Finster, Felix
9
2008
A time-independent energy estimate for outgoing scalar waves in the Kerr geometry. Zbl 1180.35524
Finster, Felix; Smoller, Joel
7
2008
Fermion systems in discrete space-time exemplifying the spantaneous generation of a causal structure. Zbl 1159.83308
Diethert, A.; Finster, F.; Schiefeneder, D.
3
2008
A variational principle in discrete space-time: existence of minimizers. Zbl 1131.49031
Finster, Felix
13
2007
Fermion systems in discrete space-time – outer symmetries and spontaneous symmetry breaking. Zbl 1138.81043
Finster, Felix
4
2007
The principle of the fermionic projector: an approach for quantum gravity? Zbl 1120.83017
Finster, Felix
1
2007
A weighted \(L^2\)-estimate of the Witten spinor in asymptotically Schwarzschild manifolds. Zbl 1133.58304
Finster, Felix; Kraus, Margarita
1
2007
Decay of solutions of the wave equation in the Kerr geometry. Zbl 1194.83015
Finster, F.; Kamran, N.; Smoller, J.; Yau, S.-T.
59
2006
The principle of the fermionic projector. Zbl 1090.83002
Finster, Felix
21
2006
Spectral estimates and non-selfadjoint perturbations of spheroidal wave operators. Zbl 1124.34060
Finster, Felix; Schmid, Harald
4
2006
An integral spectral representation of the propagator for the wave equation in the Kerr geometry. Zbl 1089.83017
Finster, F.; Kamran, N.; Smoller, J.; Yau, S.-T.
14
2005
Curvature estimates in asymptotically flat Lorentzian manifolds. Zbl 1083.53064
Finster, Felix; Kraus, Margarita
2
2005
Decay rates and probability estimates for massive Dirac particles in the Kerr-Newman black hole geometry. Zbl 1026.83029
Finster, F.; Kamran, N.; Smoller, J.; Yau, S.-T.
24
2002
Curvature estimates and the positive mass theorem. Zbl 1030.53041
Bray, Hubert; Finster, Felix
15
2002
Curvature estimates in asymptotically flat manifolds of positive scalar curvature. Zbl 1041.53027
Finster, Felix; Kath, Ines
11
2002
Hypersurfaces of prescribed Gauß curvature in exterior domains. Zbl 1087.35044
Finster, Felix; Schnürer, Oliver C.
3
2002
Nonexistence of time-periodic solutions of the Dirac equation in an axisymmetric black hole geometry. Zbl 1049.83014
Finster, Felix; Kamran, Niky; Smoller, Joel; Yau, Shing-Tung
26
2000
Non-existence of time-periodic solutions of the Dirac equation in a Reissner- Nordström black hole background. Zbl 0983.83021
Finster, Felix; Smoller, Joel; Yau, Shing-Tung
17
2000
Light-cone expansion of the Dirac sea in the presence of chiral and scalar potentials. Zbl 0971.81102
Finster, Felix
11
2000
Erratum: ”Nonexistence of time-periodic solutions of the Dirac equation in an axisymmetric black hole geometry”. Zbl 1049.83015
Finster, Felix; Kamran, Niky; Smoller, Joel; Yau, Shing-Tung
6
2000
Absence of static, spherically symmetric black hole solutions for Einstein-Dirac-Yang/Mills equations with complete fermion shells. Zbl 1016.83027
Finster, Felix; Smoller, Joel; Yau, Shing-Tung
3
2000
The interaction of Dirac particles with non-abelian gauge fields and gravity-bound states. Zbl 0984.81079
Finster, Felix; Smoller, Joel; Yau, Shing-Tung
2
2000
The interaction of Dirac particles with non-abelian gauge fields and gravity – black holes. Zbl 0971.83037
Finster, Felix; Smoller, Joel; Yau, Shing-Tung
1
2000
Some recent progress in classical general relativity. Zbl 0984.83003
Finster, Felix; Smoller, Joel; Yau, Shing-Tung
1
2000
Particle-like solutions of the Einstein-Dirac-Maxwell equations. Zbl 0936.83008
Finster, Felix; Smoller, Joel; Yau, Shing-Tung
20
1999
Non-existence of black hole solutions for a spherically symmetric, static Einstein-Dirac-Maxwell system. Zbl 0939.83037
Finster, Felix; Smoller, Joel; Yau, Shing-Tung
9
1999
Light-cone expansion of the Dirac sea to first order in the external potential. Zbl 0963.81019
Finster, Felix
4
1999
Definition of the Dirac sea in the presence of external fields. Zbl 0929.35123
Finster, Felix
14
1998
Local \(\text{U}(2,2)\) symmetry in relativistic quantum mechanics. Zbl 0935.81004
Finster, Felix
12
1998
all top 5

Cited by 287 Authors

59 Finster, Felix
11 Murro, Simone
11 Smoller, Joel Alan
10 Yau, Shing-Tung
8 Kamran, Niky
6 Dappiaggi, Claudio
6 Ma, Siyuan
5 Dafermos, Mihalis
5 Häfner, Dietrich
5 Oppio, Marco
5 Rodnianski, Igor
5 Shlapentokh-Rothman, Yakov
4 Benini, Marco
4 Beyer, Horst Reinhard
4 Bilyk, Dmitry
4 Blue, Pieter
4 Drago, Nicolò
4 Gérard, Christian
4 Hintz, Peter
4 Isidro San Juan, José-Maria
4 Kiessling, Michael Karl-Heinz
4 Lee, Dan Archibald
4 Matzke, Ryan W.
4 Much, Albert
4 Neznamov, Vasily P.
4 Nicolas, Jean-Philippe
4 Paganini, Claudio F.
4 Röken, Christian
4 Tahvildar-Zadeh, A. Shadi
4 Vlasiuk, Oleksandr V.
4 Wrochna, Michał
3 Al Badawi, Ahmad
3 Allen, Brian Daniel
3 Deckert, Dirk-André
3 Donninger, Roland
3 Dyatlov, Semyon
3 Fewster, Christopher John
3 Ginoux, Nicolas
3 Glazyrin, Alexey
3 Hainzl, Christian
3 Kleiner, Johannes
3 Langer, Christoph
3 Merkl, Franz
3 Park, Josiah
3 Schiefeneder, Daniela
3 Schlag, Wilhelm
3 Soffer, Avraham
3 Sormani, Christina
3 Strohmaier, Alexander
3 Tataru, Daniel
3 Tohaneanu, Mihai
3 Tumulka, Roderich
3 Vasy, András
3 Wald, Robert M.
3 Zhang, Lin
2 Alcubierre, Miguel
2 Andersson, Lars Åke
2 Aretakis, Stefanos
2 Cabrera Pacheco, Armando J.
2 Daudé, Thierry
2 Dzhunushaliev, Vladimir
2 Fabbri, Luca
2 Franco, Nicolas
2 Fröhlich, Jürg Martin
2 Galstian, Anahit
2 Gorbatenko, Mikhail V.
2 Große, Nadine
2 Grotz, Andreas
2 Hack, Thomas-Paul
2 Huang, Lan-Hsuan
2 Hung, Pei-Ken
2 Keller, Jordan
2 Kunzinger, Michael
2 Lewin, Mathieu
2 Lottner, Magdalena
2 Maalaoui, Ali
2 Martino, Vittorio
2 Megevand, Miguel
2 Metcalfe, Jason L.
2 Mondino, Andrea
2 Nicoleau, François
2 Nodari, Simona Rota
2 Prabhu, Kartik
2 Sakovich, Anna
2 Sämann, Clemens
2 Schenkel, Alexander
2 Séré, Eric
2 Suhr, Stefan
2 Tolksdorf, Jürgen
2 Volpe, Daniele
2 Wallet, Jean-Christophe
2 Wang, Mu-Tao
2 Wang, Zhigang
2 Yagdjian, Karen
2 Zhang, Xiao
1 Alaee, Aghil
1 Alexakis, Spyros
1 Álvarez-Domínguez, Álvaro
1 Ammann, Bernd Eberhard
1 Andréasson, Håkan
...and 187 more Authors
all top 5

Cited in 79 Serials

34 Journal of Mathematical Physics
28 Communications in Mathematical Physics
23 Annales Henri Poincaré
10 Classical and Quantum Gravity
10 Letters in Mathematical Physics
9 General Relativity and Gravitation
7 Journal of Geometry and Physics
7 Calculus of Variations and Partial Differential Equations
7 Journal of High Energy Physics
5 Journal of Mathematical Analysis and Applications
5 Advances in Mathematics
5 Journal of Differential Equations
5 Annals of Global Analysis and Geometry
5 Annals of PDE
4 Reviews in Mathematical Physics
4 Journal of Functional Analysis
4 Journal für die Reine und Angewandte Mathematik
3 Archive for Rational Mechanics and Analysis
3 Physics Letters. B
3 Inventiones Mathematicae
3 Memoirs of the American Mathematical Society
3 Transactions of the American Mathematical Society
3 Bulletin of the American Mathematical Society. New Series
3 Journal of the European Mathematical Society (JEMS)
3 Gravitation & Cosmology
3 International Journal of Geometric Methods in Modern Physics
3 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications
2 International Journal of Modern Physics A
2 Theoretical and Mathematical Physics
2 Journal de Mathématiques Pures et Appliquées. Neuvième Série
2 International Journal of Modern Physics D
2 Documenta Mathematica
2 Annals of Mathematics. Second Series
2 Journal of Cosmology and Astroparticle Physics
2 Journal of Hyperbolic Differential Equations
2 Foundations of Physics
2 Journal of Physics A: Mathematical and Theoretical
2 Advances in Calculus of Variations
2 Science China. Mathematics
1 Modern Physics Letters A
1 Applicable Analysis
1 Communications on Pure and Applied Mathematics
1 International Journal of Theoretical Physics
1 Nuclear Physics. B
1 Physics Reports
1 Reports on Mathematical Physics
1 American Journal of Mathematics
1 Annales de l’Institut Fourier
1 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série
1 Duke Mathematical Journal
1 Geometriae Dedicata
1 Journal of Differential Geometry
1 Mathematische Nachrichten
1 Mathematische Zeitschrift
1 Pacific Journal of Mathematics
1 Proceedings of the American Mathematical Society
1 Chinese Annals of Mathematics. Series B
1 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
1 Revista Matemática Iberoamericana
1 The Journal of Geometric Analysis
1 Annals of Physics
1 Communications in Partial Differential Equations
1 NoDEA. Nonlinear Differential Equations and Applications
1 Selecta Mathematica. New Series
1 Advances in Differential Equations
1 Vietnam Journal of Mathematics
1 Abstract and Applied Analysis
1 Acta Mathematica Sinica. English Series
1 Comptes Rendus. Mathématique. Académie des Sciences, Paris
1 Analysis and Applications (Singapore)
1 Mediterranean Journal of Mathematics
1 Advances in High Energy Physics
1 Discrete and Continuous Dynamical Systems. Series S
1 Communications in Theoretical Physics
1 Journal of Spectral Theory
1 Journal of Function Spaces
1 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences
1 Pure and Applied Analysis
1 Probability and Mathematical Physics
all top 5

Cited in 40 Fields

163 Relativity and gravitational theory (83-XX)
127 Quantum theory (81-XX)
112 Partial differential equations (35-XX)
69 Differential geometry (53-XX)
43 Global analysis, analysis on manifolds (58-XX)
20 Calculus of variations and optimal control; optimization (49-XX)
17 Functional analysis (46-XX)
14 Operator theory (47-XX)
10 Mechanics of particles and systems (70-XX)
6 Optics, electromagnetic theory (78-XX)
6 Astronomy and astrophysics (85-XX)
5 Measure and integration (28-XX)
5 Potential theory (31-XX)
5 Ordinary differential equations (34-XX)
5 Statistical mechanics, structure of matter (82-XX)
4 Dynamical systems and ergodic theory (37-XX)
4 Geometry (51-XX)
4 General topology (54-XX)
4 Statistics (62-XX)
3 Manifolds and cell complexes (57-XX)
3 Fluid mechanics (76-XX)
2 Linear and multilinear algebra; matrix theory (15-XX)
2 Group theory and generalizations (20-XX)
2 Functions of a complex variable (30-XX)
2 Approximations and expansions (41-XX)
1 General and overarching topics; collections (00-XX)
1 Mathematical logic and foundations (03-XX)
1 Combinatorics (05-XX)
1 Number theory (11-XX)
1 Algebraic geometry (14-XX)
1 Associative rings and algebras (16-XX)
1 Nonassociative rings and algebras (17-XX)
1 Topological groups, Lie groups (22-XX)
1 Several complex variables and analytic spaces (32-XX)
1 Special functions (33-XX)
1 Harmonic analysis on Euclidean spaces (42-XX)
1 Probability theory and stochastic processes (60-XX)
1 Classical thermodynamics, heat transfer (80-XX)
1 Systems theory; control (93-XX)
1 Information and communication theory, circuits (94-XX)

Citations by Year

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