Beyond the Friedmann-Lemaitre-Robertson-Walker Big Bang singularity
General Relativity and Quantum Cosmology
2014-05-13 v2 Cosmology and Nongalactic Astrophysics
Mathematical Physics
Differential Geometry
math.MP
Abstract
Einstein's equation, in its standard form, breaks down at the Big Bang singularity. A new version, equivalent to Einstein's whenever the latter is defined, but applicable in wider situations, is proposed. The new equation remains smooth at the Big Bang singularity of the Friedmann-Lemaitre-Robertson-Walker model. It is a tensor equation defined in terms of the Ricci part of the Riemann curvature. It is obtained by taking the Kulkarni-Nomizu product between Einstein's equation and the metric tensor.
Cite
@article{arxiv.1203.1819,
title = {Beyond the Friedmann-Lemaitre-Robertson-Walker Big Bang singularity},
author = {Ovidiu-Cristinel Stoica},
journal= {arXiv preprint arXiv:1203.1819},
year = {2014}
}
Comments
To appear in CTP, 8 pages, 1 figure