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2014 | 12 | 2 | 123-131
Tytuł artykułu

Einstein equation at singularities

Treść / Zawartość
Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
Einstein’s equation is rewritten in an equivalent form, which remains valid at the singularities in some major cases. These cases include the Schwarzschild singularity, the Friedmann-Lemaître-Robertson-Walker Big Bang singularity, isotropic singularities, and a class of warped product singularities. This equation is constructed in terms of the Ricci part of the Riemann curvature (as the Kulkarni-Nomizu product between Einstein’s equation and the metric tensor).
Wydawca

Czasopismo
Rocznik
Tom
12
Numer
2
Strony
123-131
Opis fizyczny
Daty
wydano
2014-02-01
online
2014-02-15
Twórcy
  • Faculty of Applied Sciences, University Politehnica of Bucharest, Splaiul Independentei nr. 313, sector 6, Bucharest, RO-060042, Romania, holotronix@gmail.com
Bibliografia
  • [1] C. Corda, H. J. M. Cuesta, Mod. Phys. Lett. A 25, 2423 (2010) http://dx.doi.org/10.1142/S0217732310033633[Crossref]
  • [2] R. Penrose, Phys. Rev. Lett. 14, 57 (1965) http://dx.doi.org/10.1103/PhysRevLett.14.57[Crossref]
  • [3] S. W. Hawking, P. Roy. Soc. A-Math. Phy. 294, 511 (1966) http://dx.doi.org/10.1098/rspa.1966.0221[Crossref]
  • [4] S. W. Hawking, P. Roy. Soc. A-Math. Phy. 295, 490 (1966) http://dx.doi.org/10.1098/rspa.1966.0255[Crossref]
  • [5] S. W. Hawking, P. Roy. Soc. A-Math. Phy. 300, 187 (1967) http://dx.doi.org/10.1098/rspa.1967.0164[Crossref]
  • [6] S. W. Hawking, R. W. Penrose, Proc. Roy. Soc. London Ser. A 314, 529 (1970) http://dx.doi.org/10.1098/rspa.1970.0021[Crossref]
  • [7] S. W. Hawking, G. F. R. Ellis, The Large Scale Structure of Space Time, (Cambridge University Press, 1995)
  • [8] O. C. Stoica, Ann. of Phys. 338, 186 (2013) http://dx.doi.org/10.1016/j.aop.2013.08.002[Crossref]
  • [9] I. M. Singer, J. A. Thorpe. The curvature of 4-dimensional Einstein spaces. In Global Analysis (Papers in Honor of K. Kodaira)
  • [10] Arthur L. Besse, Einstein Manifolds, Ergebnisse der Mathematik und ihrer Grenzgebiete (3) [Results in Mathematics and Related Areas (3)], vol. 10, (Berlin, New York, Springer-Verlag, 1987)
  • [11] S. Gallot, D. Hullin, J. Lafontaine, Riemannian Geometry, (Springer-Verlag, Berlin, New York, 3rd edition, 2004) http://dx.doi.org/10.1007/978-3-642-18855-8[Crossref]
  • [12] O. C. Stoica, arXiv:math.DG/1105.0201, To appear in Int. J. Geom. Methods Mod. Phys., (2011)
  • [13] O. C. Stoica, arXiv:math.DG/1105.3404, (2011)
  • [14] O. C. Stoica, An. St. Univ. Ovidius Constanta 20, 213 (2012)
  • [15] K. P. Tod, Class. Quant. Grav. 4, 1457 (1987) http://dx.doi.org/10.1088/0264-9381/4/5/038[Crossref]
  • [16] K. P. Tod, Class. Quant. Grav. 7, L13 (1990) http://dx.doi.org/10.1088/0264-9381/7/1/004[Crossref]
  • [17] K. P. Tod, Class. Quant. Grav. 8, L77 (1991) http://dx.doi.org/10.1088/0264-9381/8/4/002[Crossref]
  • [18] K. P. Tod, Rend. Sem. Mat. Univ. Politec. Torino 50, 69 (1992)
  • [19] K. P. Tod, The Conformal Structure of Space-Time, 123 (2002)
  • [20] K. P. Tod, Class. Quant. Grav. 20, 521 (2003) http://dx.doi.org/10.1088/0264-9381/20/3/309[Crossref]
  • [21] C. M. Claudel, K. P. Newman, P. Roy. Soc. A-Math. Phy. 454, 1073 (1998) http://dx.doi.org/10.1098/rspa.1998.0197[Crossref]
  • [22] K. Anguige, K. P. Tod, Ann. of Phys. 276, 257 (1999) http://dx.doi.org/10.1006/aphy.1999.5946[Crossref]
  • [23] K. Anguige, K. P. Tod, Ann. of Phys. 276, 294 (1999) http://dx.doi.org/10.1006/aphy.1999.5947[Crossref]
  • [24] B. O’Neill, Semi-Riemannian Geometry with Applications to Relativity. Number 103 in Pure Appl. Math., (Academic Press, New York-London, 1983)
  • [25] O. C. Stoica, Commun. Theor. Phys. 58, 613 (2012) http://dx.doi.org/10.1088/0253-6102/58/4/28[Crossref]
  • [26] A. S. Eddington, Nature 113, 192 (1924) http://dx.doi.org/10.1038/113192a0[Crossref]
  • [27] D. Finkelstein, Phys. Rev. 110, 965 (1958) http://dx.doi.org/10.1103/PhysRev.110.965[Crossref]
  • [28] O. C. Stoica, Eur. Phys. J. Plus 127, 1 (2012) http://dx.doi.org/10.1140/epjp/i2012-12083-1[Crossref]
  • [29] O. C. Stoica, Phys. Scr. 85, 055004 (2012) http://dx.doi.org/10.1088/0031-8949/85/05/055004[Crossref]
  • [30] O. C. Stoica, arXiv:gr-qc/1111.7082, To appear in U.P.B. Sci. Bull., Series A, (2013)
  • [31] O. C. Stoica, The International Conference of Differential Geometry and Dynamical Systems, arXiv:grqc/1112.4508, (2013)
Typ dokumentu
Bibliografia
Identyfikatory
Identyfikator YADDA
bwmeta1.element.-psjd-doi-10_2478_s11534-014-0427-1
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