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arXiv · 1203.2140

Einstein equation at singularities

Ovidiu-Cristinel Stoica
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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).

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Ovidiu-Cristinel Stoica. 2012-03-09. Einstein equation at singularities. https://doi.org/10.2478/s11534-014-0427-1

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