1203.2140 (Ovidiu-Cristinel Stoica)

Einstein equation at singularities    [PDF]

Ovidiu-Cristinel Stoica

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-Lemaitre-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).

View original: http://arxiv.org/abs/1203.2140