Kouneiher, Joseph; Szczeciniarz, Jean-Jacques The geometric universe Sir Roger Penrose’s mathematical physics works and insights. (English) Zbl 07787120 Int. J. Geom. Methods Mod. Phys. 20, No. 3, Article ID 2350048, 40 p. (2023). MSC: 83-XX 53-XX PDFBibTeX XMLCite \textit{J. Kouneiher} and \textit{J.-J. Szczeciniarz}, Int. J. Geom. Methods Mod. Phys. 20, No. 3, Article ID 2350048, 40 p. (2023; Zbl 07787120) Full Text: DOI
Jacobsson, Simon; Bäckdahl, Thomas Second order symmetry operators for the massive Dirac equation. (English) Zbl 1518.83093 Classical Quantum Gravity 40, No. 4, Article ID 045009, 19 p. (2023). MSC: 83F05 81R20 81R25 70F05 22E70 53C21 53C50 83C27 PDFBibTeX XMLCite \textit{S. Jacobsson} and \textit{T. Bäckdahl}, Classical Quantum Gravity 40, No. 4, Article ID 045009, 19 p. (2023; Zbl 1518.83093) Full Text: DOI arXiv
Malyarenko, Anatoliy; Ostoja-Starzewski, Martin Tensor- and spinor-valued random fields with applications to continuum physics and cosmology. (English) Zbl 1502.60078 Probab. Surv. 20, 1-86 (2023). MSC: 60G60 74A40 74H50 76F55 83F05 PDFBibTeX XMLCite \textit{A. Malyarenko} and \textit{M. Ostoja-Starzewski}, Probab. Surv. 20, 1--86 (2023; Zbl 1502.60078) Full Text: DOI arXiv Link
Han, Shanzhong Weyl double copy and massless free-fields in curved spacetimes. (English) Zbl 1516.83045 Classical Quantum Gravity 39, No. 22, Article ID 225009, 29 p. (2022). MSC: 83C60 83C47 81T11 81T10 35Q61 70S15 PDFBibTeX XMLCite \textit{S. Han}, Classical Quantum Gravity 39, No. 22, Article ID 225009, 29 p. (2022; Zbl 1516.83045) Full Text: DOI arXiv
Dunajski, Maciej; Tod, Paul Conformal geodesics on gravitational instantons. (English) Zbl 1497.53072 Math. Proc. Camb. Philos. Soc. 173, No. 1, 123-154 (2022). MSC: 53C18 78A35 PDFBibTeX XMLCite \textit{M. Dunajski} and \textit{P. Tod}, Math. Proc. Camb. Philos. Soc. 173, No. 1, 123--154 (2022; Zbl 1497.53072) Full Text: DOI arXiv
Mokdad, Mokdad Conformal scattering and the Goursat problem for Dirac fields in the interior of charged spherically symmetric black holes. (English) Zbl 1483.35171 Rev. Math. Phys. 34, No. 1, Article ID 2150037, 16 p. (2022). MSC: 35Q41 35Q75 83C57 PDFBibTeX XMLCite \textit{M. Mokdad}, Rev. Math. Phys. 34, No. 1, Article ID 2150037, 16 p. (2022; Zbl 1483.35171) Full Text: DOI arXiv
Afriat, Alexander Logic of gauge. (English) Zbl 1444.81005 Bernard, Julien (ed.) et al., Weyl and the problem of space. From science to philosophy. Cham: Springer. Stud. Hist. Philos. Sci. (Dordr.) 49, 265-293 (2019). MSC: 81-03 83-03 70-03 81P05 00A35 70S15 83C05 78A25 81T13 01A60 00A79 PDFBibTeX XMLCite \textit{A. Afriat}, Stud. Hist. Philos. Sci. (Dordr.) 49, 265--293 (2019; Zbl 1444.81005) Full Text: DOI arXiv
Abalos, Fernando A necessary condition ensuring the strong hyperbolicity of first-order systems. (English) Zbl 1437.35455 J. Hyperbolic Differ. Equ. 16, No. 1, 193-221 (2019). MSC: 35L40 PDFBibTeX XMLCite \textit{F. Abalos}, J. Hyperbolic Differ. Equ. 16, No. 1, 193--221 (2019; Zbl 1437.35455) Full Text: DOI arXiv
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
BenTov, Yoni; Swearngin, Joe Gravitational shockwaves on rotating black holes. (English) Zbl 1414.83028 Gen. Relativ. Gravitation 51, No. 2, Paper No. 25, 42 p. (2019). MSC: 83C57 83C05 83C60 83C15 53Z05 83C10 83C20 PDFBibTeX XMLCite \textit{Y. BenTov} and \textit{J. Swearngin}, Gen. Relativ. Gravitation 51, No. 2, Paper No. 25, 42 p. (2019; Zbl 1414.83028) Full Text: DOI arXiv Link
Livadiotis, George Complex symmetric formulation of Maxwell equations for fields and potentials. (English) Zbl 1515.78002 Mathematics 6, No. 7, Paper No. 114, 10 p. (2018). MSC: 78A02 PDFBibTeX XMLCite \textit{G. Livadiotis}, Mathematics 6, No. 7, Paper No. 114, 10 p. (2018; Zbl 1515.78002) Full Text: DOI
Açık, Özgür Spin-1/2 and spin-3/2 field solutions in plane wave spacetimes. (English) Zbl 1392.83023 Gen. Relativ. Gravitation 50, No. 3, Paper No. 33, 15 p. (2018). MSC: 83C35 83C60 83C15 15A66 15A72 PDFBibTeX XMLCite \textit{Ö. Açık}, Gen. Relativ. Gravitation 50, No. 3, Paper No. 33, 15 p. (2018; Zbl 1392.83023) Full Text: DOI arXiv
Dunajski, Maciej; Penrose, Roger On the quadratic invariant of binary sextics. (English) Zbl 1388.13018 Math. Proc. Camb. Philos. Soc. 162, No. 3, 435-445 (2017). Reviewer: Jebrel M. Habeb (Irbid) MSC: 13A50 14L24 PDFBibTeX XMLCite \textit{M. Dunajski} and \textit{R. Penrose}, Math. Proc. Camb. Philos. Soc. 162, No. 3, 435--445 (2017; Zbl 1388.13018) Full Text: DOI arXiv
Roberts, Mark D. The Clebsch potential approach to fluid Lagrangians. (English) Zbl 1470.76016 J. Geom. Phys. 117, 60-67 (2017). MSC: 76A02 PDFBibTeX XMLCite \textit{M. D. Roberts}, J. Geom. Phys. 117, 60--67 (2017; Zbl 1470.76016) Full Text: DOI arXiv
Eferina, Ekaterina G.; Hnatich, Michal; Korolkova, Anna V.; Kulyabov, Dmitry S.; Sevastianov, Leonid A.; Velieva, Tatiana R. Diagram representation for the stochastization of single-step processes. (English) Zbl 1391.60164 Vishnevskiy, Vladimir M. (ed.) et al., Distributed computer and communication networks. 19th international conference, DCCN 2016, Moscow, Russia, November 21–25, 2016. Revised selected papers. Cham: Springer (ISBN 978-3-319-51916-6/pbk; 978-3-319-51917-3/ebook). Communications in Computer and Information Science 678, 483-497 (2016). MSC: 60H30 82C26 PDFBibTeX XMLCite \textit{E. G. Eferina} et al., Commun. Comput. Inf. Sci. 678, 483--497 (2016; Zbl 1391.60164) Full Text: DOI
Gómez-Lobo, Alfonso García-Parrado New conserved currents for vacuum space-times in dimension four with a Killing vector. (English) Zbl 1380.83048 Gen. Relativ. Gravitation 48, No. 10, Paper No. 126, 12 p. (2016). MSC: 83C15 83C05 58A25 53Z05 PDFBibTeX XMLCite \textit{A. G. P. Gómez-Lobo}, Gen. Relativ. Gravitation 48, No. 10, Paper No. 126, 12 p. (2016; Zbl 1380.83048) Full Text: DOI arXiv
Burlakov, Igor M. Geometric structures in bundles of associative algebras. (English) Zbl 1367.53011 Acta Univ. Palacki. Olomuc., Fac. Rerum Nat., Math. 55, No. 1, 27-30 (2016). MSC: 53A35 15A66 PDFBibTeX XMLCite \textit{I. M. Burlakov}, Acta Univ. Palacki. Olomuc., Fac. Rerum Nat., Math. 55, No. 1, 27--30 (2016; Zbl 1367.53011) Full Text: Link
Kulyabov, D. S. Using two types of computer algebra systems to solve Maxwell optics problems. (English. Russian original) Zbl 1344.78021 Program. Comput. Softw. 42, No. 2, 77-83 (2016); translation from Programmirovanie 42, No. 2 (2016). MSC: 78M25 68W30 78A50 78A46 PDFBibTeX XMLCite \textit{D. S. Kulyabov}, Program. Comput. Softw. 42, No. 2, 77--83 (2016; Zbl 1344.78021); translation from Programmirovanie 42, No. 2 (2016) Full Text: DOI arXiv
Dunajski, Maciej; Gundry, James Non-relativistic twistor theory and Newton-Cartan geometry. (English) Zbl 1337.83049 Commun. Math. Phys. 342, No. 3, 1043-1074 (2016). MSC: 83C60 53C28 53Z05 83D05 83C15 83C05 PDFBibTeX XMLCite \textit{M. Dunajski} and \textit{J. Gundry}, Commun. Math. Phys. 342, No. 3, 1043--1074 (2016; Zbl 1337.83049) Full Text: DOI arXiv
Albouy, Alain Projective dynamics and first integrals. (English) Zbl 1378.70015 Regul. Chaotic Dyn. 20, No. 3, 247-276 (2015). MSC: 70G45 53A20 70F10 PDFBibTeX XMLCite \textit{A. Albouy}, Regul. Chaotic Dyn. 20, No. 3, 247--276 (2015; Zbl 1378.70015) Full Text: DOI arXiv
Tod, Paul The equations of conformal cyclic cosmology. (English) Zbl 1317.83113 Gen. Relativ. Gravitation 47, No. 3, Paper No. 17, 13 p. (2015). MSC: 83F05 53Z05 83C15 83C75 PDFBibTeX XMLCite \textit{P. Tod}, Gen. Relativ. Gravitation 47, No. 3, Paper No. 17, 13 p. (2015; Zbl 1317.83113) Full Text: DOI
Christian, Joy Macroscopic observability of spinorial sign changes under \(2\pi\) rotations. (English) Zbl 1317.81149 Int. J. Theor. Phys. 54, No. 6, 2042-2067 (2015). MSC: 81R05 81P15 22E70 14H30 81P05 PDFBibTeX XMLCite \textit{J. Christian}, Int. J. Theor. Phys. 54, No. 6, 2042--2067 (2015; Zbl 1317.81149) Full Text: DOI arXiv
Holland, Jonathan; Sparling, George The cosmology of a fundamental scalar. (English) Zbl 1298.83128 Gen. Relativ. Gravitation 46, No. 6, Article ID 1748, 11 p. (2014). MSC: 83F05 85A40 83C60 81T60 PDFBibTeX XMLCite \textit{J. Holland} and \textit{G. Sparling}, Gen. Relativ. Gravitation 46, No. 6, Article ID 1748, 11 p. (2014; Zbl 1298.83128) Full Text: DOI arXiv
Dunajski, Maciej; Tod, Paul Self-dual conformal gravity. (English) Zbl 1295.53080 Commun. Math. Phys. 331, No. 1, 351-373 (2014). MSC: 53C50 83C99 PDFBibTeX XMLCite \textit{M. Dunajski} and \textit{P. Tod}, Commun. Math. Phys. 331, No. 1, 351--373 (2014; Zbl 1295.53080) Full Text: DOI arXiv
Kaparulin, D. S.; Lyakhovich, S. L.; Sharapov, A. A. Lagrange anchor for Bargmann-Wigner equations. (English) Zbl 1305.70044 Kielanowski, Piotr (ed.) et al., Geometric methods in physics. XXXI workshop, Białowieża, Poland, June 24–30, 2012. Selected papers based on the presentations at the workshop. Basel: Birkhäuser/Springer (ISBN 978-3-0348-0644-2/hbk; 978-3-0348-0645-9/ebook). Trends in Mathematics, 119-126 (2013). MSC: 70S10 81T70 PDFBibTeX XMLCite \textit{D. S. Kaparulin} et al., in: Geometric methods in physics. XXXI workshop, Białowieża, Poland, June 24--30, 2012. Selected papers based on the presentations at the workshop. Basel: Birkhäuser/Springer. 119--126 (2013; Zbl 1305.70044) Full Text: DOI arXiv
Korol’kova, A. V.; Kulyabov, D. S.; Sevast’yanov, L. A. Tensor computations in computer algebra systems. (English. Russian original) Zbl 1301.68280 Program. Comput. Softw. 39, No. 3, 135-142 (2013); translation from Programmirovanie 39, No. 3 (2013). MSC: 68W30 65F99 PDFBibTeX XMLCite \textit{A. V. Korol'kova} et al., Program. Comput. Softw. 39, No. 3, 135--142 (2013; Zbl 1301.68280); translation from Programmirovanie 39, No. 3 (2013) Full Text: DOI arXiv
Weatherall, James Owen The scope and generality of Bell’s theorem. (English) Zbl 1278.81035 Found. Phys. 43, No. 9, 1153-1169 (2013). MSC: 81P40 81P15 81P20 81Q65 81P05 PDFBibTeX XMLCite \textit{J. O. Weatherall}, Found. Phys. 43, No. 9, 1153--1169 (2013; Zbl 1278.81035) Full Text: DOI arXiv
Gómez-Lobo, Alfonso García-Parrado; Senovilla, José M. M. A set of invariant quality factors measuring the deviation from the Kerr metric. (English) Zbl 1266.83113 Gen. Relativ. Gravitation 45, No. 6, 1095-1127 (2013); erratum ibid.45, No. 6, 1129 (2013). MSC: 83C57 83C25 53Z05 83C05 PDFBibTeX XMLCite \textit{A. G. P. Gómez-Lobo} and \textit{J. M. M. Senovilla}, Gen. Relativ. Gravitation 45, No. 6, 1095--1127 (2013; Zbl 1266.83113) Full Text: DOI arXiv
Burtscher, Annegret Y.; Grant, James D. E.; LeFloch, Philippe G. New energy inequalities for tensorial wave equations on spacetimes that satisfy a one-sided bound. (English) Zbl 1256.35166 Commun. Partial Differ. Equations 37, No. 9, 1596-1619 (2012). MSC: 35Q76 83C05 35L72 83C40 PDFBibTeX XMLCite \textit{A. Y. Burtscher} et al., Commun. Partial Differ. Equations 37, No. 9, 1596--1619 (2012; Zbl 1256.35166) Full Text: DOI arXiv
Joudioux, Jérémie Conformal scattering for a nonlinear wave equation. (English) Zbl 1246.83063 J. Hyperbolic Differ. Equ. 9, No. 1, 1-65 (2012). MSC: 83C30 35Q75 58J45 58J47 PDFBibTeX XMLCite \textit{J. Joudioux}, J. Hyperbolic Differ. Equ. 9, No. 1, 1--65 (2012; Zbl 1246.83063) Full Text: DOI arXiv
Hammerl, M.; Somberg, P.; Souček, V.; Šilhan, J. Invariant prolongation of overdetermined PDEs in projective, conformal, and Grassmannian geometry. (English) Zbl 1270.53024 Ann. Global Anal. Geom. 42, No. 1, 121-145 (2012). Reviewer: Adela-Gabriela Mihai (Bucureşti) MSC: 53A55 58A32 53A20 53A30 PDFBibTeX XMLCite \textit{M. Hammerl} et al., Ann. Global Anal. Geom. 42, No. 1, 121--145 (2012; Zbl 1270.53024) Full Text: DOI arXiv
Kling, Thomas P.; Bianchini, Louis Continuous image distortion by astrophysical thick lenses. (English) Zbl 1228.83079 Gen. Relativ. Gravitation 43, No. 10, 2575-2603 (2011). MSC: 83C60 83C10 85A25 85A05 83C75 83C57 PDFBibTeX XMLCite \textit{T. P. Kling} and \textit{L. Bianchini}, Gen. Relativ. Gravitation 43, No. 10, 2575--2603 (2011; Zbl 1228.83079) Full Text: DOI arXiv
Grant, James D. E. Areas and volumes for null cones. (English) Zbl 1218.83010 Ann. Henri Poincaré 12, No. 5, 965-985 (2011). MSC: 83C05 53Z05 83C75 83C10 PDFBibTeX XMLCite \textit{J. D. E. Grant}, Ann. Henri Poincaré 12, No. 5, 965--985 (2011; Zbl 1218.83010) Full Text: DOI arXiv
Hammerl, Matthias; Sagerschnig, Katja The twistor spinors of generic 2- and 3-distributions. (English) Zbl 1229.53058 Ann. Global Anal. Geom. 39, No. 4, 403-425 (2011). Reviewer: Andreas Cap (Wien) MSC: 53C27 34A26 35N10 53A30 53A40 53B15 53B30 53C15 58A30 PDFBibTeX XMLCite \textit{M. Hammerl} and \textit{K. Sagerschnig}, Ann. Global Anal. Geom. 39, No. 4, 403--425 (2011; Zbl 1229.53058) Full Text: DOI arXiv
Dunajski, Maciej; Tod, Paul Four-dimensional metrics conformal to Kähler. (English) Zbl 1188.53078 Math. Proc. Camb. Philos. Soc. 148, No. 3, 485-503 (2010). MSC: 53C55 PDFBibTeX XMLCite \textit{M. Dunajski} and \textit{P. Tod}, Math. Proc. Camb. Philos. Soc. 148, No. 3, 485--503 (2010; Zbl 1188.53078) Full Text: DOI arXiv
Finster, Felix; Hainzl, Christian Quantum oscillations can prevent the big bang singularity in an Einstein-Dirac cosmology. (English) Zbl 1185.83030 Found. Phys. 40, No. 1, 116-124 (2010). MSC: 83F05 83C75 83C47 PDFBibTeX XMLCite \textit{F. Finster} and \textit{C. Hainzl}, Found. Phys. 40, No. 1, 116--124 (2010; Zbl 1185.83030) Full Text: DOI arXiv
Lübbe, Christian; Tod, Paul Conformal properties of an evaporating black hole model. (English) Zbl 1162.83334 Gen. Relativ. Gravitation 41, No. 1, 7-19 (2009). MSC: 83C57 83C10 PDFBibTeX XMLCite \textit{C. Lübbe} and \textit{P. Tod}, Gen. Relativ. Gravitation 41, No. 1, 7--19 (2009; Zbl 1162.83334) Full Text: DOI arXiv
Grant, James D. E.; Mayerhofer, Eberhard; Steinbauer, Roland The wave equation on singular space-times. (English) Zbl 1163.83006 Commun. Math. Phys. 285, No. 2, 399-420 (2009). Reviewer: Marco Modugno (Firenze) MSC: 83C75 35L05 53B30 PDFBibTeX XMLCite \textit{J. D. E. Grant} et al., Commun. Math. Phys. 285, No. 2, 399--420 (2009; Zbl 1163.83006) Full Text: DOI arXiv
Gover, A. Rod; Somberg, Petr; Souček, Vladimír Yang-Mills detour complexes and conformal geometry. (English) Zbl 1141.58013 Commun. Math. Phys. 278, No. 2, 307-327 (2008). MSC: 58J10 53C07 PDFBibTeX XMLCite \textit{A. R. Gover} et al., Commun. Math. Phys. 278, No. 2, 307--327 (2008; Zbl 1141.58013) Full Text: DOI arXiv
Anderson, Edward On the recovery of geometrodynamics from two different sets of first principles. (English) Zbl 1223.83011 Stud. Hist. Philos. Sci., Part B, Stud. Hist. Philos. Mod. Phys. 38, No. 1, 15-57 (2007). MSC: 83C05 83E05 PDFBibTeX XMLCite \textit{E. Anderson}, Stud. Hist. Philos. Sci., Part B, Stud. Hist. Philos. Mod. Phys. 38, No. 1, 15--57 (2007; Zbl 1223.83011) Full Text: DOI arXiv
Bramson, Brian Massive particles, Kerr-Minkowski fields and singularity removal in relativistic quantum mechanics. (English) Zbl 1134.81379 Proc. R. Soc. Lond., Ser. A, Math. Phys. Eng. Sci. 463, No. 2083, 1815-1826 (2007). MSC: 81R25 81Q05 83A05 PDFBibTeX XMLCite \textit{B. Bramson}, Proc. R. Soc. Lond., Ser. A, Math. Phys. Eng. Sci. 463, No. 2083, 1815--1826 (2007; Zbl 1134.81379) Full Text: DOI
Bramson, Brian Do electromagnetic waves harbour gravitational waves? (English) Zbl 1149.83310 Proc. R. Soc. Lond., Ser. A, Math. Phys. Eng. Sci. 462, No. 2071, 1987-2000 (2006). MSC: 83C35 78A40 PDFBibTeX XMLCite \textit{B. Bramson}, Proc. R. Soc. Lond., Ser. A, Math. Phys. Eng. Sci. 462, No. 2071, 1987--2000 (2006; Zbl 1149.83310) Full Text: DOI
Talebaoui, Wathek Solution of the Dirac equation in plane wave metric backgrounds. (English) Zbl 1075.83028 Gen. Relativ. Gravitation 37, No. 6, 1035-1044 (2005). Reviewer: Volker Perlick (Berlin) MSC: 83C60 83C35 PDFBibTeX XMLCite \textit{W. Talebaoui}, Gen. Relativ. Gravitation 37, No. 6, 1035--1044 (2005; Zbl 1075.83028) Full Text: DOI
Baez, John C. The octonions. (English) Zbl 1026.17001 Bull. Am. Math. Soc., New Ser. 39, No. 2, 145-205 (2002); errata ibid. 42, 213 (2005). Reviewer: B.Fauser (Tübingen) MSC: 17-02 17A35 17C40 17C90 22E70 PDFBibTeX XMLCite \textit{J. C. Baez}, Bull. Am. Math. Soc., New Ser. 39, No. 2, 145--205 (2002; Zbl 1026.17001) Full Text: DOI arXiv
Werbos, Paul J. Can ”soliton” attractors exist in realistic \(3+1\)-D conservative systems? (English) Zbl 1035.81625 Chaos Solitons Fractals 10, No. 11, 1917-1946 (1999). MSC: 81V99 37N20 PDFBibTeX XMLCite \textit{P. J. Werbos}, Chaos Solitons Fractals 10, No. 11, 1917--1946 (1999; Zbl 1035.81625) Full Text: DOI
Bournaveas, Nikolaos Local existence of energy class solutions for the Dirac-Klein-Gordon equations. (English) Zbl 0931.35134 Commun. Partial Differ. Equations 24, No. 7-8, 1167-1193 (1999). Reviewer: Vadim Komkov (Florida) MSC: 35Q40 35A07 81Q05 PDFBibTeX XMLCite \textit{N. Bournaveas}, Commun. Partial Differ. Equations 24, No. 7--8, 1167--1193 (1999; Zbl 0931.35134) Full Text: DOI
Talebaoui, Wathek Clifford algebra and the propagation of Kähler spinors. (English) Zbl 0823.53016 Int. J. Theor. Phys. 34, No. 3, 369-386 (1995). Reviewer: J.D.Zund (Las Cruces) MSC: 53C27 53Z05 PDFBibTeX XMLCite \textit{W. Talebaoui}, Int. J. Theor. Phys. 34, No. 3, 369--386 (1995; Zbl 0823.53016) Full Text: DOI