A new singularity theorem in relativistic cosmology
General Relativity and Quantum Cosmology
2009-10-31 v1
Abstract
It is shown that if the timelike eigenvector of the Ricci tensor be hypersurface orthogonal so that the space time allows a foliation into space sections then the space average of each of the scalar that appear in the Raychaudhuri equation vanishes provided the strong energy condition holds good. This result is presented in the form of a singularity theorem.
Cite
@article{arxiv.gr-qc/0002041,
title = {A new singularity theorem in relativistic cosmology},
author = {A. K. Raychaudhuri},
journal= {arXiv preprint arXiv:gr-qc/0002041},
year = {2009}
}
Comments
3 pages, revtex, to appear in Modern Physics Letters A