The Deng algorithm in higher dimensions
General Relativity and Quantum Cosmology
2014-12-30 v1
Abstract
We extend an algorithm of Deng in spherically symmetric spacetimes to higher dimensions. We show that it is possible to integrate the generalised condition of pressure isotropy and generate exact solutions to the Einstein field equations for a shear-free cosmological model with heat flow in higher dimensions. Three new metrics are identified which contain results of four dimensions as special cases. We show graphically that the matter variables are well behaved and the speed of sound is causal.
Keywords
Cite
@article{arxiv.1412.8108,
title = {The Deng algorithm in higher dimensions},
author = {Y. Nyonyi and S. D. Maharaj and K. S. Govinder},
journal= {arXiv preprint arXiv:1412.8108},
year = {2014}
}
Comments
13 pages, Submitted for publication