Higher dimensional spherically symmetric inhomogeneous cosmological model with heat flow

Pramana ◽  
1995 ◽  
Vol 44 (6) ◽  
pp. 495-500
Author(s):  
Subenoy Chakraborty ◽  
Md. Firoj Shah
Keyword(s):  
Heat Flow ◽  
Cosmological Model ◽  
Spherically Symmetric ◽  
Inhomogeneous Cosmological Model ◽  
Higher Dimensional

scholarly journals The Deng Algorithm in Higher Dimensions

2014 ◽  
Vol 2014 ◽  
pp. 1-6 ◽  
Author(s):  
Y. Nyonyi ◽  
S. D. Maharaj ◽  
K. S. Govinder
Keyword(s):  
Heat Flow ◽  
Cosmological Model ◽  
Higher Dimensions ◽  
Spherically Symmetric ◽  
Einstein Field Equations ◽  
Field Equations ◽  
Four Dimensions ◽  
Symmetric Spacetimes ◽  
Special Cases ◽  
Spherically Symmetric Spacetimes

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.

scholarly journals A STUDY OF HIGHER DIMENSIONAL INHOMOGENEOUS COSMOLOGICAL MODEL

2004 ◽  
Vol 13 (06) ◽  
pp. 1085-1093 ◽  
Author(s):  
SUBENOY CHAKRABORTY ◽  
UJJAL DEBNATH
Keyword(s):  
Cosmological Model ◽  
Cosmological Constant ◽  
Asymptotic Behaviour ◽  
Perfect Fluid ◽  
Einstein’S Equations ◽  
Einstein's Equations ◽  
Particular Solutions ◽  
Inhomogeneous Cosmological Model ◽  
Higher Dimensional ◽  
Dust Case

In this paper we present a class of exact inhomogeneous solutions to Einstein's equations for higher dimensional Szekeres metric with perfect fluid and a cosmological constant. We also show particular solutions depending on the choices of various parameters involved and for dust case. Finally, we examine the asymptotic behaviour of some of these solutions.

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