Singularity-free cosmological solutions with non-rotating perfect fluids

Raychaudhuri, A. K. (2004) Singularity-free cosmological solutions with non-rotating perfect fluids General Relativity and Gravitation, 36 (2). pp. 343-359. ISSN 0001-7701

[img]
Preview
PDF - Author Version
128kB

Official URL: http://www.springerlink.com/content/m8002t049vt5w5...

Related URL: http://dx.doi.org/10.1023/B:GERG.0000010480.06584.d6

Abstract

The paper establishes the result that solutions of the type described in the title of the article are in essence only those that have been already presented in the literature provided the acceleration vector is hypersurface orthogonal. The procedure adopted in the paper is somewhat novel - while the usual practice is to display an exact solution and then to examine whether it is singularity free, the present paper discovers the conditions which a singularity free solution of the desired type must satisfy. There is no attempt to obtain exact solutions. Simply, the conditions that were ad-hoc introduced in the deduction of singularity free solutions are here shown to follow from the requirement of non-singularity.

Item Type:Article
Source:Copyright of this article belongs to Springer.
Keywords:Cosmology; Singularity Theorem; Perfect Fluid
ID Code:33934
Deposited On:30 Mar 2011 11:51
Last Modified:17 May 2016 16:49

Repository Staff Only: item control page