Higher Dimensional Szekeres' Space-time in Brans-Dicke Scalar Tensor Theory
General Relativity and Quantum Cosmology
2009-11-10 v1
Abstract
The generalized Szekeres family of solution for quasi-spherical space-time of higher dimensions are obtained in the scalar tensor theory of gravitation. Brans-Dicke field equations expressed in Dicke's revised units are exhaustively solved for all the subfamilies of the said family. A particular group of solutions may also be interpreted as due to the presence of the so-called C-field of Hoyle and Narlikar and for a chosen sign of the coupling parameter. The models show either expansion from a big bang type of singularity or a collapse with the turning point at a lower bound. There is one particular case which starts from the big bang, reaches a maximum and collapses with the in course of time to a crunch.
Cite
@article{arxiv.gr-qc/0404089,
title = {Higher Dimensional Szekeres' Space-time in Brans-Dicke Scalar Tensor Theory},
author = {Asit Banerjee and Ujjal Debnath and Subenoy Chakraborty},
journal= {arXiv preprint arXiv:gr-qc/0404089},
year = {2009}
}