A new singularity theorem in relativistic cosmology

Authors
Raychaudhuri, AK
Citation
Ak. Raychaudhuri, A new singularity theorem in relativistic cosmology, MOD PHY L A, 15(6), 2000, pp. 391-395
Citations number
5
Categorie Soggetti
Physics
Journal title
MODERN PHYSICS LETTERS A
ISSN journal
02177323 → ACNP
Volume
15
Issue
6
Year of publication
2000
Pages
391 - 395
Database
ISI
SICI code
0217-7323(20000228)15:6<391:ANSTIR>2.0.ZU;2-2
Abstract
It is shown that if the time-like eigenvector of the Ricci tensor is hypers urface orthogonal so that the space-time allows a foliation into space sect ions, then the space average of each of the scalars that appears in the Ray chaudhuri equation vanishes provided that the strong energy condition holds good. This result is presented in the form of a singularity theorem.