Morales, Juliana Osorio; Santillán, Osvaldo Pablo The Maslov index and some applications to dispersion relations in curved space times. (English) Zbl 1516.83008 J. Math. Phys. 64, No. 6, Article ID 063506, 26 p. (2023). MSC: 83C20 53C50 53Z05 PDFBibTeX XMLCite \textit{J. O. Morales} and \textit{O. P. Santillán}, J. Math. Phys. 64, No. 6, Article ID 063506, 26 p. (2023; Zbl 1516.83008) Full Text: DOI arXiv
Bemfica, Fabio S.; Disconzi, Marcelo M.; Graber, P. Jameson Local well-posedness in Sobolev spaces for first-order barotropic causal relativistic viscous hydrodynamics. (English) Zbl 1479.35857 Commun. Pure Appl. Anal. 20, No. 9, 2885-2914 (2021). MSC: 35Q75 35Q35 83C05 76Y05 35A01 35A02 PDFBibTeX XMLCite \textit{F. S. Bemfica} et al., Commun. Pure Appl. Anal. 20, No. 9, 2885--2914 (2021; Zbl 1479.35857) Full Text: DOI arXiv
Yagdjian, Karen; Galstian, Anahit Fundamental solutions for the Dirac equation in curved spacetime and generalized Euler-Poisson-Darboux equation. (English) Zbl 1479.35714 J. Differ. Equations 300, 80-117 (2021). MSC: 35Q41 35Q05 35Q07 35Q75 81V80 83F05 83C15 PDFBibTeX XMLCite \textit{K. Yagdjian} and \textit{A. Galstian}, J. Differ. Equations 300, 80--117 (2021; Zbl 1479.35714) Full Text: DOI arXiv
Islamov, G. G. Spectral problem for the curl of a vector field in a nonorthogonal coordinate system. (English. Russian original) Zbl 1428.78007 J. Math. Sci., New York 241, No. 4, 430-447 (2019); translation from Itogi Nauki Tekh., Ser. Sovrem. Mat. Prilozh., Temat. Obz. 140, 50-67 (2017). MSC: 78A25 83C50 35J05 35P05 34L10 PDFBibTeX XMLCite \textit{G. G. Islamov}, J. Math. Sci., New York 241, No. 4, 430--447 (2019; Zbl 1428.78007); translation from Itogi Nauki Tekh., Ser. Sovrem. Mat. Prilozh., Temat. Obz. 140, 50--67 (2017) Full Text: DOI
Mokdad, Mokdad Conformal scattering of Maxwell fields on Reissner-Nordström-de Sitter Black Hole spacetimes. (Scattering conforme des champs de Maxwell en l’espace-temps de trou noir de de Sitter-Reissner-Nordström.) (English. French summary) Zbl 1428.35566 Ann. Inst. Fourier 69, No. 5, 2291-2329 (2019). MSC: 35Q61 35P25 35Q75 83C57 83C50 83C22 78A25 78A45 PDFBibTeX XMLCite \textit{M. Mokdad}, Ann. Inst. Fourier 69, No. 5, 2291--2329 (2019; Zbl 1428.35566) Full Text: DOI arXiv
Osorio Morales, Juliana; Santillán, Osvaldo P. The existence of smooth solutions in q-models. (English) Zbl 1414.83061 Gen. Relativ. Gravitation 51, No. 2, Paper No. 29, 19 p. (2019). MSC: 83D05 83C05 53Z05 83F05 PDFBibTeX XMLCite \textit{J. Osorio Morales} and \textit{O. P. Santillán}, Gen. Relativ. Gravitation 51, No. 2, Paper No. 29, 19 p. (2019; Zbl 1414.83061) Full Text: DOI arXiv
Freistühler, Heinrich; Temple, Blake Causal dissipation in the relativistic dynamics of barotropic fluids. (English) Zbl 1391.76880 J. Math. Phys. 59, No. 6, 063101, 17 p. (2018). MSC: 76Y05 35L60 83C55 PDFBibTeX XMLCite \textit{H. Freistühler} and \textit{B. Temple}, J. Math. Phys. 59, No. 6, 063101, 17 p. (2018; Zbl 1391.76880) Full Text: DOI Link
Disconzi, Marcelo M.; Kephart, Thomas W.; Scherrer, Robert J. On a viable first-order formulation of relativistic viscous fluids and its applications to cosmology. (English) Zbl 1431.83189 Int. J. Mod. Phys. D 26, No. 13, Article ID 1750146, 52 p. (2017). MSC: 83F05 83C55 76Y05 PDFBibTeX XMLCite \textit{M. M. Disconzi} et al., Int. J. Mod. Phys. D 26, No. 13, Article ID 1750146, 52 p. (2017; Zbl 1431.83189) Full Text: DOI arXiv
Abreu, Samuel; Britto, Ruth; Duhr, Claude; Gardi, Einan Cuts from residues: the one-loop case. (English) Zbl 1380.81421 J. High Energy Phys. 2017, No. 6, Paper No. 114, 57 p. (2017). MSC: 81U05 81V05 81Q30 83C75 PDFBibTeX XMLCite \textit{S. Abreu} et al., J. High Energy Phys. 2017, No. 6, Paper No. 114, 57 p. (2017; Zbl 1380.81421) Full Text: DOI arXiv
Takou, Etienne; Ciake, Fidèle L. Ciake The relativistic Boltzmann equation on a spherically symmetric gravitational field. (English) Zbl 1373.83023 Classical Quantum Gravity 34, No. 19, Article ID 195006, 23 p. (2017). MSC: 83C05 83C55 76P05 76Y05 35Q75 PDFBibTeX XMLCite \textit{E. Takou} and \textit{F. L. C. Ciake}, Classical Quantum Gravity 34, No. 19, Article ID 195006, 23 p. (2017; Zbl 1373.83023) Full Text: DOI
Bachelot, Alain Waves in the Witten bubble of nothing and the Hawking wormhole. (English) Zbl 1364.83004 Commun. Math. Phys. 351, No. 2, 599-651 (2017). Reviewer: Jorge Pullin (Baton Rouge) MSC: 83C15 83C45 83F05 35L05 PDFBibTeX XMLCite \textit{A. Bachelot}, Commun. Math. Phys. 351, No. 2, 599--651 (2017; Zbl 1364.83004) Full Text: DOI arXiv
Czubak, Magdalena; Disconzi, Marcelo M. On the well-posedness of relativistic viscous fluids with non-zero vorticity. (English) Zbl 1338.76144 J. Math. Phys. 57, No. 4, 042501, 21 p. (2016). MSC: 76Y05 76D05 49K40 83C05 83C55 76D17 76D03 35Q35 PDFBibTeX XMLCite \textit{M. Czubak} and \textit{M. M. Disconzi}, J. Math. Phys. 57, No. 4, 042501, 21 p. (2016; Zbl 1338.76144) Full Text: DOI arXiv
Capozziello, Salvatore; Harko, Tiberiu; Lobo, Francisco S. N.; Olmo, Gonzalo J.; Vignolo, Stefano The Cauchy problem in hybrid metric-Palatini \(f(X)\)-gravity. (English) Zbl 1295.83009 Int. J. Geom. Methods Mod. Phys. 11, No. 5, Article ID 1450042, 12 p. (2014). MSC: 83C05 83D05 85A05 83F05 85A40 PDFBibTeX XMLCite \textit{S. Capozziello} et al., Int. J. Geom. Methods Mod. Phys. 11, No. 5, Article ID 1450042, 12 p. (2014; Zbl 1295.83009) Full Text: DOI arXiv
Lecian, Orchidea Maria Reflections on the hyperbolic plane. (English) Zbl 1284.83186 Int. J. Mod. Phys. D 22, No. 14, Article ID 1350085, 55 p. (2013). MSC: 83F05 83C75 83C30 83C47 PDFBibTeX XMLCite \textit{O. M. Lecian}, Int. J. Mod. Phys. D 22, No. 14, Article ID 1350085, 55 p. (2013; Zbl 1284.83186) Full Text: DOI arXiv
Capozziello, S.; Vignolo, S. The Cauchy problem for \(f(R)\)-gravity: an overview. (English) Zbl 1244.83028 Int. J. Geom. Methods Mod. Phys. 9, No. 1, 1250006, 20 p. (2012). MSC: 83D05 83-02 83C05 83C55 PDFBibTeX XMLCite \textit{S. Capozziello} and \textit{S. Vignolo}, Int. J. Geom. Methods Mod. Phys. 9, No. 1, 1250006, 20 p. (2012; Zbl 1244.83028) Full Text: DOI arXiv
Groshev, Oleg Viktorovich Cauchy problem for the wave equation on non-globally hyperbolic manifolds. (Russian. English summary) Zbl 1449.35283 Vestn. Samar. Gos. Tekh. Univ., Ser. Fiz.-Mat. Nauki 2011, No. 1(22), 42-46 (2011). MSC: 35L05 35R01 83C75 PDFBibTeX XMLCite \textit{O. V. Groshev}, Vestn. Samar. Gos. Tekh. Univ., Ser. Fiz.-Mat. Nauki 2011, No. 1(22), 42--46 (2011; Zbl 1449.35283) Full Text: DOI MNR
Capozziello, S.; Vignolo, S. The Cauchy problem for metric-affine \(f(R)\)-gravity in presence of a Klein-Gordon scalar field. (English) Zbl 1213.83109 Int. J. Geom. Methods Mod. Phys. 8, No. 1, 167-176 (2011). MSC: 83D05 83C05 83C15 35L05 PDFBibTeX XMLCite \textit{S. Capozziello} and \textit{S. Vignolo}, Int. J. Geom. Methods Mod. Phys. 8, No. 1, 167--176 (2011; Zbl 1213.83109) Full Text: DOI arXiv
Joudioux, Jérémie Integral formula for the characteristic Cauchy problem on a curved background. (English) Zbl 1223.35110 J. Math. Pures Appl. (9) 95, No. 2, 151-193 (2011). MSC: 35C15 35L02 58J45 83C60 PDFBibTeX XMLCite \textit{J. Joudioux}, J. Math. Pures Appl. (9) 95, No. 2, 151--193 (2011; Zbl 1223.35110) Full Text: DOI arXiv
Groshev, O. V. Existence and uniqueness of classical solutions of the Cauchy problem on nonglobally hyperbolic manifolds. (English. Russian original) Zbl 1255.81161 Theor. Math. Phys. 164, No. 3, 1202-1207 (2010); translation from Teor. Mat. Fiz. 164, No. 3, 441-446 (2010). MSC: 81Q35 81T20 81Q05 83C05 PDFBibTeX XMLCite \textit{O. V. Groshev}, Theor. Math. Phys. 164, No. 3, 1202--1207 (2010; Zbl 1255.81161); translation from Teor. Mat. Fiz. 164, No. 3, 441--446 (2010) Full Text: DOI
Chruściel, Piotr T.; Galloway, Gregory J.; Pollack, Daniel Mathematical general relativity: a sampler. (English) Zbl 1205.83002 Bull. Am. Math. Soc., New Ser. 47, No. 4, 567-638 (2010). Reviewer: José L. Flores (Málaga) MSC: 83-02 83C05 83C57 83C75 83C40 PDFBibTeX XMLCite \textit{P. T. Chruściel} et al., Bull. Am. Math. Soc., New Ser. 47, No. 4, 567--638 (2010; Zbl 1205.83002) Full Text: DOI arXiv
Tchapnda, S. B. The plane symmetric Einstein-dust system with positive cosmological constant. (English) Zbl 1179.83019 J. Hyperbolic Differ. Equ. 5, No. 3, 681-692 (2008). Reviewer: Alena Pravdová (Praha) MSC: 83C05 83C20 76N10 PDFBibTeX XMLCite \textit{S. B. Tchapnda}, J. Hyperbolic Differ. Equ. 5, No. 3, 681--692 (2008; Zbl 1179.83019) Full Text: DOI arXiv
Moretti, Valter Quantum out-states holographically induced by asymptotic flatness: invariance under spacetime symmetries, energy positivity and Hadamard property. (English) Zbl 1145.83016 Commun. Math. Phys. 279, No. 1, 31-75 (2008). MSC: 83C45 81T20 PDFBibTeX XMLCite \textit{V. Moretti}, Commun. Math. Phys. 279, No. 1, 31--75 (2008; Zbl 1145.83016) Full Text: DOI arXiv
Melnyk, Fabrice Local Cauchy problem for the nonlinear Dirac and Dirac-Klein-Gordon equations on Kerr space-time. (English) Zbl 1111.83022 J. Math. Phys. 47, No. 5, 052503, 16 p. (2006). MSC: 83C47 35P25 53C80 PDFBibTeX XMLCite \textit{F. Melnyk}, J. Math. Phys. 47, No. 5, 052503, 16 p. (2006; Zbl 1111.83022) Full Text: DOI
Kholodenko, A. L. New strings for old Veneziano amplitudes. I: Analytical treatment. (English) Zbl 1079.83032 J. Geom. Phys. 55, No. 1, 50-74 (2005). Reviewer: Gil de Oliveira-Neta (Minas Gerais) MSC: 83E30 81T30 81T40 PDFBibTeX XMLCite \textit{A. L. Kholodenko}, J. Geom. Phys. 55, No. 1, 50--74 (2005; Zbl 1079.83032) Full Text: DOI arXiv
Mason, Lionel J.; Nicolas, Jean-Philippe Conformal scattering and the Goursat problem. (English) Zbl 1074.83019 J. Hyperbolic Differ. Equ. 1, No. 2, 197-233 (2004). MSC: 83C60 83C30 35L80 35P25 35Q75 PDFBibTeX XMLCite \textit{L. J. Mason} and \textit{J.-P. Nicolas}, J. Hyperbolic Differ. Equ. 1, No. 2, 197--233 (2004; Zbl 1074.83019) Full Text: DOI
Reula, Oscar A. Hyperbolic methods for Einstein’s equations. (English) Zbl 1024.83004 Living Rev. Relativ. 1, Article No. 1998-3, 37 p. (1998). MSC: 83C05 35Q75 58J45 35L99 83-02 PDFBibTeX XMLCite \textit{O. A. Reula}, Living Rev. Relativ. 1, Article No. 1998--3, 37 p. (1998; Zbl 1024.83004) Full Text: DOI EuDML Link
Cagnac, F.; Noutchegueme, N. Semi-global solutions of Einstein equations, Minkowskian near past infinity. (English) Zbl 0703.53079 Commun. Math. Phys. 130, No. 1, 157-184 (1990). Reviewer: D.Geißler MSC: 53C80 83C05 PDFBibTeX XMLCite \textit{F. Cagnac} and \textit{N. Noutchegueme}, Commun. Math. Phys. 130, No. 1, 157--184 (1990; Zbl 0703.53079) Full Text: DOI
Dimock, J.; Kay, Bernard S. Classical and quantum scattering theory for linear scalar fields on the Schwarzschild metric. I. (English) Zbl 0628.53080 Ann. Phys. 175, 366-426 (1987). Reviewer: W.Zündahl MSC: 53C80 81T20 83C47 PDFBibTeX XMLCite \textit{J. Dimock} and \textit{B. S. Kay}, Ann. Phys. 175, 366--426 (1987; Zbl 0628.53080) Full Text: DOI
Noutchegueme, Norbert Solutions semi-globales asymptotiquement minkowskiennes pour les équations d’Einstein. (Asymptotically Minkowskian semi-global solutions of Einstein equations). (French) Zbl 0616.35081 Ann. Inst. Henri Poincaré, Phys. Théor. 46, 77-96 (1987). MSC: 35Q99 35A05 83C05 PDFBibTeX XMLCite \textit{N. Noutchegueme}, Ann. Inst. Henri Poincaré, Phys. Théor. 46, 77--96 (1987; Zbl 0616.35081) Full Text: Numdam EuDML
Christodoulou, Demetrios The structure and uniqueness of generalized solutions of the spherically symmetric Einstein-scalar equations. (English) Zbl 0613.53048 Commun. Math. Phys. 109, 591-611 (1987). Reviewer: N.Sengupta MSC: 53C80 35L70 83C05 83C20 83C40 PDFBibTeX XMLCite \textit{D. Christodoulou}, Commun. Math. Phys. 109, 591--611 (1987; Zbl 0613.53048) Full Text: DOI
Christodoulou, Demetrios Global existence of generalized solutions of the spherically symmetric Einstein-scalar equations in the large. (English) Zbl 0613.53047 Commun. Math. Phys. 106, 587-621 (1986). Reviewer: E.Malec MSC: 53C80 35L70 83C05 PDFBibTeX XMLCite \textit{D. Christodoulou}, Commun. Math. Phys. 106, 587--621 (1986; Zbl 0613.53047) Full Text: DOI
Carminati, J.; McLenaghan, R. G. An explicit determination of the Petrov type N space-times on which the conformally invariant scalar wave equation satisfies Huygens’ principle. (English) Zbl 0595.35067 Ann. Inst. Henri Poincaré, Phys. Théor. 44, 115-153 (1986). Reviewer: M.Biermann MSC: 35L10 83C15 PDFBibTeX XMLCite \textit{J. Carminati} and \textit{R. G. McLenaghan}, Ann. Inst. Henri Poincaré, Phys. Théor. 44, 115--153 (1986; Zbl 0595.35067) Full Text: Numdam EuDML
Penrose, Roger Physical space-time and nonrealizable CR-structures. (English) Zbl 0531.53058 Bull. Am. Math. Soc., New. Ser. 8, 427-448 (1983). Reviewer: A.Bejancu MSC: 53C80 32V40 83C05 PDFBibTeX XMLCite \textit{R. Penrose}, Bull. Am. Math. Soc., New Ser. 8, 427--448 (1983; Zbl 0531.53058) Full Text: DOI
Choquet-Bruhat, Yvonne; Ruggeri, Tommaso Hyperbolicity of the 3+1 system of Einstein equations. (English) Zbl 0521.53034 Commun. Math. Phys. 89, 269-275 (1983). MSC: 53B50 35L30 35Q99 83C05 83C20 PDFBibTeX XMLCite \textit{Y. Choquet-Bruhat} and \textit{T. Ruggeri}, Commun. Math. Phys. 89, 269--275 (1983; Zbl 0521.53034) Full Text: DOI
Christodoulou, D.; O’Murchadha, N. The boost problem in general relativity. (English) Zbl 0477.35081 Commun. Math. Phys. 80, 271-300 (1981). MSC: 35Q99 83C05 PDFBibTeX XMLCite \textit{D. Christodoulou} and \textit{N. O'Murchadha}, Commun. Math. Phys. 80, 271--300 (1981; Zbl 0477.35081) Full Text: DOI
Chaljub-Simon, A.; Choquet-Bruhat, Y. Global solutions of the Lichnerowicz equation in general relativity on an asymptotically Euclidean complete manifold. (English) Zbl 0443.35025 Gen. Relativ. Gravitation 12, 175-185 (1980). MSC: 35J60 83C99 PDFBibTeX XMLCite \textit{A. Chaljub-Simon} and \textit{Y. Choquet-Bruhat}, Gen. Relativ. Gravitation 12, 175--185 (1980; Zbl 0443.35025) Full Text: DOI
Choquet-Bruhat, Yvonne; Christodoulou, Demetrios; Francaviglia, Mauro On the wave equation in curved spacetime. (English) Zbl 0454.58016 Ann. Inst. Henri Poincaré, Nouv. Sér., Sect. A 31, 399-414 (1979). MSC: 58J45 53C50 35L05 83C99 PDFBibTeX XMLCite \textit{Y. Choquet-Bruhat} et al., Ann. Inst. Henri Poincaré, Nouv. Sér., Sect. A 31, 399--414 (1979; Zbl 0454.58016) Full Text: Numdam EuDML
Bancel, Daniel Problème aux limites pour les hypersurfaces maximales lorentziennes. (French) Zbl 0436.53042 Rend. Circ. Mat. Palermo, II. Ser. 28, 183-190 (1979). MSC: 53C20 53C50 53C42 83C99 PDFBibTeX XMLCite \textit{D. Bancel}, Rend. Circ. Mat. Palermo (2) 28, 183--190 (1979; Zbl 0436.53042) Full Text: DOI
Choquet-Bruhat, Yvonne; Christodoulou, Demetrios; Francaviglia, Mauro Cauchy data on a manifold. (English) Zbl 0412.35018 Ann. Inst. Henri Poincaré, Nouv. Sér., Sect. A 29, 241-255 (1978). MSC: 35D05 35L15 83C05 PDFBibTeX XMLCite \textit{Y. Choquet-Bruhat} et al., Ann. Inst. Henri Poincaré, Nouv. Sér., Sect. A 29, 241--255 (1978; Zbl 0412.35018) Full Text: Numdam EuDML