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Advances in Mathematical Physics
Volume 2014 (2014), Article ID 290459, 6 pages
http://dx.doi.org/10.1155/2014/290459
Research Article

The Deng Algorithm in Higher Dimensions

Astrophysics and Cosmology Research Unit, School of Mathematics, Statistics and Computer Science, University of KwaZulu-Natal, Private Bag X54001, Durban 4000, South Africa

Received 10 November 2013; Accepted 6 December 2013; Published 9 January 2014

Academic Editor: B. G. Konopelchenko

Copyright © 2014 Y. Nyonyi et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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.