Einstein equation at singularities
General Relativity and Quantum Cosmology
2014-05-05 v3 Cosmology and Nongalactic Astrophysics
Mathematical Physics
Differential Geometry
math.MP
Abstract
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-Lema\^itre-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).
Cite
@article{arxiv.1203.2140,
title = {Einstein equation at singularities},
author = {Ovidiu-Cristinel Stoica},
journal= {arXiv preprint arXiv:1203.2140},
year = {2014}
}
Comments
12 pages. Ovidiu-Cristinel Stoica, Cent. Eur. J. Phys., 2014, 10.2478/s11534-014-0427-1