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Geroch, Robert

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Author ID: geroch.robert Recent zbMATH articles by "Geroch, Robert"
Published as: Geroch, R.; Geroch, R. P.; Geroch, Robert
External Links: MGP · Wikidata · GND
Documents Indexed: 43 Publications since 1966, including 2 Books

Publications by Year

Citations contained in zbMATH Open

38 Publications have been cited 1,274 times in 1,050 Documents Cited by Year
Domain of dependence. Zbl 0189.27602
Geroch, Robert
162
1970
Global aspects of the Cauchy problem in general relativity. Zbl 0182.59901
Choquet-Bruhat, Yvonne; Geroch, Robert
132
1969
Spinor structure of space-times in general relativity. I. Zbl 0165.29402
Geroch, Robert
129
1968
A method for generating solutions of Einstein’s equations. Zbl 0214.49002
Geroch, Robert
119
1971
A space-time calculus based on pairs of null directions. Zbl 0875.53014
Geroch, R.; Held, A.; Penrose, Roger
97
1973
A method for generating new solutions of Einstein’s equation. II. Zbl 0241.53038
Geroch, Robert
78
1972
Ideal points in space-time. Zbl 0257.53059
Geroch, R.; Kronheimer, E. H.; Penrose, Roger
68
1972
Topology in general relativity. Zbl 0158.46501
Geroch, R. P.
64
1967
Multipole moments. II: Curved space. Zbl 1107.83312
Geroch, Robert
49
1970
What is a singularity in general relativity? Zbl 0167.56501
Geroch, Robert
47
1968
Spinor structure of space-times in general relativity. II. Zbl 0199.28303
Geroch, Robert
46
1970
Local characterization of singularities in general relativity. Zbl 0172.27905
Geroch, Robert
44
1968
Multipole moments. I: Flat space. Zbl 1107.83313
Geroch, Robert
34
1970
Energy extraction. Zbl 0942.53509
Geroch, Robert
31
1973
Linkages in general relativity. Zbl 0479.70004
Geroch, Robert; Winicour, Jeffrey
22
1981
Singularities in closed universes. Zbl 0142.24007
Geroch, R. P.
16
1966
Equation of motion of small bodies in relativity. Zbl 1036.83004
Ehlers, Jürgen; Geroch, Robert
14
2004
Causal theories of dissipative relativistic fluids. Zbl 0718.76139
Geroch, Robert; Lindblom, Lee
14
1991
Faster than light? Zbl 1232.83004
Geroch, Robert
13
2011
Partial differential equations of physics. Zbl 0875.35001
Geroch, Robert
11
1996
Relativistic theories of dissipative fluids. Zbl 0842.76099
Geroch, Robert
10
1995
Positive sectional curvatures does not imply positive Gauss-Bonnet integrand. Zbl 0325.53042
Geroch, Robert
9
1976
Singular boundaries of space-times. Zbl 0502.70004
Geroch, Robert; Liang, Chan-bin; Wald, Robert M.
8
1982
General relativity. Zbl 0307.53038
Geroch, Robert
8
1975
Timelike curves of limited acceleration in general relativity. Zbl 0561.70002
Chakrabarti, Sandip K.; Geroch, Robert; Liang, Can-bin
7
1983
Mathematical physics. Zbl 0653.00022
Geroch, Robert
6
1985
General relativity in the large. Zbl 0339.53038
Geroch, Robert
6
1971
Limitations on the smooth confinement of an unstretchable manifold. Zbl 0995.53041
Venkataramani, S. C.; Witten, T. A.; Kramer, E. M.; Geroch, R. P.
5
2000
The Everett interpretation. Zbl 1366.81026
Geroch, Robert
5
1984
Application of the semidirect product of groups. Zbl 0213.03903
Geroch, Robert; Newman, E. T.
4
1971
The motion of small bodies in space-time. Zbl 1401.83006
Geroch, Robert; Weatherall, James Owen
3
2018
Is perturbation theory misleading in general relativity? Zbl 0574.58035
Geroch, Robert; Lindblom, Lee
3
1985
The structure of singularities. Zbl 0174.28401
Geroch, Robert
3
1968
Gauge, diffeomorphisms, initial-value formulation, etc. Zbl 1073.83013
Geroch, Robert
2
2004
Some recent work on global properties of spacetimes. Zbl 0223.53056
Geroch, Robert
2
1971
The local nonsingularity theorem. Zbl 0514.58033
Geroch, Robert
1
1983
Group-quotients with positive sectional curvatures. Zbl 0371.53037
Geroch, Robert
1
1977
No topologies characterize differentiability as continuity. Zbl 0196.27004
Geroch, R.; Kronheimer, E.; McCarty, G.
1
1971
The motion of small bodies in space-time. Zbl 1401.83006
Geroch, Robert; Weatherall, James Owen
3
2018
Faster than light? Zbl 1232.83004
Geroch, Robert
13
2011
Equation of motion of small bodies in relativity. Zbl 1036.83004
Ehlers, Jürgen; Geroch, Robert
14
2004
Gauge, diffeomorphisms, initial-value formulation, etc. Zbl 1073.83013
Geroch, Robert
2
2004
Limitations on the smooth confinement of an unstretchable manifold. Zbl 0995.53041
Venkataramani, S. C.; Witten, T. A.; Kramer, E. M.; Geroch, R. P.
5
2000
Partial differential equations of physics. Zbl 0875.35001
Geroch, Robert
11
1996
Relativistic theories of dissipative fluids. Zbl 0842.76099
Geroch, Robert
10
1995
Causal theories of dissipative relativistic fluids. Zbl 0718.76139
Geroch, Robert; Lindblom, Lee
14
1991
Mathematical physics. Zbl 0653.00022
Geroch, Robert
6
1985
Is perturbation theory misleading in general relativity? Zbl 0574.58035
Geroch, Robert; Lindblom, Lee
3
1985
The Everett interpretation. Zbl 1366.81026
Geroch, Robert
5
1984
Timelike curves of limited acceleration in general relativity. Zbl 0561.70002
Chakrabarti, Sandip K.; Geroch, Robert; Liang, Can-bin
7
1983
The local nonsingularity theorem. Zbl 0514.58033
Geroch, Robert
1
1983
Singular boundaries of space-times. Zbl 0502.70004
Geroch, Robert; Liang, Chan-bin; Wald, Robert M.
8
1982
Linkages in general relativity. Zbl 0479.70004
Geroch, Robert; Winicour, Jeffrey
22
1981
Group-quotients with positive sectional curvatures. Zbl 0371.53037
Geroch, Robert
1
1977
Positive sectional curvatures does not imply positive Gauss-Bonnet integrand. Zbl 0325.53042
Geroch, Robert
9
1976
General relativity. Zbl 0307.53038
Geroch, Robert
8
1975
A space-time calculus based on pairs of null directions. Zbl 0875.53014
Geroch, R.; Held, A.; Penrose, Roger
97
1973
Energy extraction. Zbl 0942.53509
Geroch, Robert
31
1973
A method for generating new solutions of Einstein’s equation. II. Zbl 0241.53038
Geroch, Robert
78
1972
Ideal points in space-time. Zbl 0257.53059
Geroch, R.; Kronheimer, E. H.; Penrose, Roger
68
1972
A method for generating solutions of Einstein’s equations. Zbl 0214.49002
Geroch, Robert
119
1971
General relativity in the large. Zbl 0339.53038
Geroch, Robert
6
1971
Application of the semidirect product of groups. Zbl 0213.03903
Geroch, Robert; Newman, E. T.
4
1971
Some recent work on global properties of spacetimes. Zbl 0223.53056
Geroch, Robert
2
1971
No topologies characterize differentiability as continuity. Zbl 0196.27004
Geroch, R.; Kronheimer, E.; McCarty, G.
1
1971
Domain of dependence. Zbl 0189.27602
Geroch, Robert
162
1970
Multipole moments. II: Curved space. Zbl 1107.83312
Geroch, Robert
49
1970
Spinor structure of space-times in general relativity. II. Zbl 0199.28303
Geroch, Robert
46
1970
Multipole moments. I: Flat space. Zbl 1107.83313
Geroch, Robert
34
1970
Global aspects of the Cauchy problem in general relativity. Zbl 0182.59901
Choquet-Bruhat, Yvonne; Geroch, Robert
132
1969
Spinor structure of space-times in general relativity. I. Zbl 0165.29402
Geroch, Robert
129
1968
What is a singularity in general relativity? Zbl 0167.56501
Geroch, Robert
47
1968
Local characterization of singularities in general relativity. Zbl 0172.27905
Geroch, Robert
44
1968
The structure of singularities. Zbl 0174.28401
Geroch, Robert
3
1968
Topology in general relativity. Zbl 0158.46501
Geroch, R. P.
64
1967
Singularities in closed universes. Zbl 0142.24007
Geroch, R. P.
16
1966
all top 5

Cited by 1,107 Authors

16 Rodrigues, Waldyr Alves jun.
14 Geroch, Robert
14 Sánchez Caja, Miguel
13 Beem, John K.
12 Edgar, S. Brian
12 Weatherall, James Owen
11 Chruściel, Piotr Tadeusz
10 Clarke, C. J. S.
10 Ludwig, Garry
10 Minguzzi, Ettore
10 Reula, Oscar A.
10 Winicour, Jeffrey
9 Galloway, Gregory J.
8 Choquet-Bruhat, Yvonne
8 Dappiaggi, Claudio
8 Masiello, Antonio
7 Bugajska, Krystyna M.
7 Ehrlich, Paul Ewing
7 Flores, José Luis
7 Prabhu, Kartik
7 Reifler, Frank
6 Barbot, Thierry
6 Francaviglia, Mauro
6 Hauser, Isidore
6 Herrera, Jónatan
6 Królak, Andrzej
6 Pelegrín, José A. S.
6 Rendall, Alan D.
6 Ruiz, Eduardo
6 Simon, Walter
5 Bonsante, Francesco
5 Ernst, Frederick J. jun.
5 Hernández Pastora, José Luís
5 LeFloch, Philippe Gerard
5 Manchak, John Byron
5 Reall, Harvey S.
5 Rodnianski, Igor
5 Samtleben, Henning
5 Speck, Jared
5 Torres del Castillo, Gerardo Francisco
5 Valiente Kroon, Juan Antonio
5 Vasy, András
5 Wainer, Samuel Augusto
5 Wald, Robert M.
4 Ashtekar, Abhay
4 Bäckdahl, Thomas
4 Bailleul, Ismaël F.
4 Bini, Donato
4 Chernov, Vladimir V.
4 Cherubini, Christian
4 Costa e Silva, Ivan P.
4 Dafermos, Mihalis
4 Fatibene, Lorenzo
4 Ferraris, Marco
4 Fischer, Arthur Elliot
4 Friedrich, Helmut
4 Glass, Edward N.
4 Hack, Thomas-Paul
4 Häfner, Dietrich
4 Harris, Steven G.
4 Herrera, Luis Alfredo
4 Hinterbichler, Kurt
4 Isenberg, James A.
4 Joshi, Pankaj S.
4 Kleinschmidt, Axel
4 Manko, Vladimir S.
4 Molina, Alfred
4 Moreschi, Osvaldo M.
4 Morris, Randall
4 Penrose, Roger
4 Quevedo, Hernando
4 Rácz, István
4 Rigoli, Marco
4 Ringström, Hans
4 Schlenker, Jean-Marc
4 Schmidt, Bernd Gerhard
4 Woolgar, Eric
3 Ahsan, Zafar
3 Andersson, Lars Åke
3 Béguin, François
3 Beig, Robert
3 Bernal, Antonio N.
3 Bilal, Mohd
3 Bray, Hubert L.
3 Candela, Anna Maria
3 Carter, Brandon
3 Christodoulou, Demetrios
3 Colombo, Giulio
3 Cook, Paul P.
3 Dimock, Jonathan
3 Duggal, Krishan Lal
3 Ellis, George Francis Rayner
3 Engelhardt, Netta
3 Frauendiener, Jörg
3 Geralico, Andrea
3 Giannoni, Fabio
3 Gibbons, Gary William
3 Gicquaud, Romain
3 Gudapati, Nishanth
3 Hajicek, Peter
...and 1,007 more Authors
all top 5

Cited in 124 Serials

190 General Relativity and Gravitation
189 Journal of Mathematical Physics
88 Communications in Mathematical Physics
59 Journal of High Energy Physics
39 International Journal of Theoretical Physics
30 Classical and Quantum Gravity
29 Living Reviews in Relativity
27 Journal of Geometry and Physics
23 Studies in History and Philosophy of Science. Part B. Studies in History and Philosophy of Modern Physics
22 International Journal of Geometric Methods in Modern Physics
21 Annales Henri Poincaré
20 International Journal of Modern Physics D
14 Letters in Mathematical Physics
12 Foundations of Physics
9 International Journal of Modern Physics A
9 Nuclear Physics. B
9 Geometriae Dedicata
8 Reviews in Mathematical Physics
8 Advances in Applied Clifford Algebras
8 Physical Review Letters
7 Mathematical Proceedings of the Cambridge Philosophical Society
7 Annales de l’Institut Henri Poincaré. Nouvelle Série. Section A. Physique Théorique
7 Differential Geometry and its Applications
7 Annals of Physics
6 Reports on Mathematical Physics
6 Transactions of the American Mathematical Society
5 Annales de l’Institut Fourier
5 Aplikace Matematiky
5 Gravitation & Cosmology
5 Journal of Hyperbolic Differential Equations
4 Modern Physics Letters A
4 Annali di Matematica Pura ed Applicata. Serie Quarta
4 Inventiones Mathematicae
4 Proceedings of the American Mathematical Society
4 Annals of Mathematics. Second Series
4 Physical Review D. Series III
4 Annals of PDE
3 Archive for Rational Mechanics and Analysis
3 Physics Letters. B
3 Advances in Mathematics
3 Mathematische Zeitschrift
3 Synthese
3 Acta Applicandae Mathematicae
3 Annals of Global Analysis and Geometry
3 Bulletin of the American Mathematical Society. New Series
3 Calculus of Variations and Partial Differential Equations
3 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences
3 Foundations of Physics Letters
3 Nonlinear Analysis. Theory, Methods & Applications
2 Astrophysics and Space Science
2 Communications on Pure and Applied Mathematics
2 Journal of Mathematical Analysis and Applications
2 Journal of Statistical Physics
2 Physics Reports
2 Reviews of Modern Physics
2 Theoretical and Mathematical Physics
2 Acta Mathematica
2 Duke Mathematical Journal
2 Journal of Functional Analysis
2 Journal für die Reine und Angewandte Mathematik
2 Journal of Soviet Mathematics
2 Kodai Mathematical Journal
2 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
2 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
2 Revista Matemática Iberoamericana
2 The Journal of Geometric Analysis
2 Geometric and Functional Analysis. GAFA
2 Journal de Mathématiques Pures et Appliquées. Neuvième Série
2 Selecta Mathematica. New Series
2 European Series in Applied and Industrial Mathematics (ESAIM): Probability and Statistics
2 Annalen der Physik. 8th Series
2 Comptes Rendus. Mathématique. Académie des Sciences, Paris
2 Physical Review, II. Series
2 Analysis and Mathematical Physics
1 Computers & Mathematics with Applications
1 Israel Journal of Mathematics
1 Journal of Computational Physics
1 Mathematical Notes
1 Nonlinearity
1 Physics Letters. A
1 Fortschritte der Physik
1 Acta Mathematica Vietnamica
1 The Annals of Probability
1 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série
1 Archiv der Mathematik
1 Compositio Mathematica
1 Manuscripta Mathematica
1 Mathematische Annalen
1 Memoirs of the American Mathematical Society
1 Numerische Mathematik
1 Real Analysis Exchange
1 Rendiconti del Circolo Matemàtico di Palermo. Serie II
1 Theoretical Computer Science
1 Tohoku Mathematical Journal. Second Series
1 Topology and its Applications
1 Chinese Annals of Mathematics. Series B
1 Probability Theory and Related Fields
1 Journal of the American Mathematical Society
1 Journal of Non-Equilibrium Thermodynamics
1 Annales de l’Institut Henri Poincaré. Physique Théorique
...and 24 more Serials
all top 5

Cited in 48 Fields

768 Relativity and gravitational theory (83-XX)
566 Differential geometry (53-XX)
162 Quantum theory (81-XX)
151 Partial differential equations (35-XX)
109 Global analysis, analysis on manifolds (58-XX)
37 Mechanics of particles and systems (70-XX)
33 Manifolds and cell complexes (57-XX)
25 General topology (54-XX)
20 Dynamical systems and ergodic theory (37-XX)
20 Fluid mechanics (76-XX)
20 Astronomy and astrophysics (85-XX)
17 General and overarching topics; collections (00-XX)
15 Nonassociative rings and algebras (17-XX)
15 Topological groups, Lie groups (22-XX)
13 Functional analysis (46-XX)
10 Mathematical logic and foundations (03-XX)
9 Linear and multilinear algebra; matrix theory (15-XX)
9 Probability theory and stochastic processes (60-XX)
8 Several complex variables and analytic spaces (32-XX)
8 Statistical mechanics, structure of matter (82-XX)
7 History and biography (01-XX)
7 Calculus of variations and optimal control; optimization (49-XX)
6 Algebraic topology (55-XX)
6 Optics, electromagnetic theory (78-XX)
5 Algebraic geometry (14-XX)
5 Numerical analysis (65-XX)
5 Mechanics of deformable solids (74-XX)
4 Functions of a complex variable (30-XX)
4 Geometry (51-XX)
4 Classical thermodynamics, heat transfer (80-XX)
3 Order, lattices, ordered algebraic structures (06-XX)
3 Measure and integration (28-XX)
3 Ordinary differential equations (34-XX)
3 Operator theory (47-XX)
2 Number theory (11-XX)
2 Statistics (62-XX)
2 Computer science (68-XX)
2 Systems theory; control (93-XX)
2 Information and communication theory, circuits (94-XX)
1 Combinatorics (05-XX)
1 Category theory; homological algebra (18-XX)
1 Group theory and generalizations (20-XX)
1 Real functions (26-XX)
1 Potential theory (31-XX)
1 Integral equations (45-XX)
1 Convex and discrete geometry (52-XX)
1 Biology and other natural sciences (92-XX)
1 Mathematics education (97-XX)

Citations by Year

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