Higherdimensional charged shearfree relativistic models with heat flux
Abstract
We analyze shearfree spherically symmetric relativistic models of gravitating fluids with heat flow and electric charge defined on higherdimensional manifolds. The solution to the Einstein–Maxwell system is governed by the pressure isotropy condition, which depends on the spacetime dimension. We study this highly nonlinear partial differential equation using Lie's group theoretic approach. The Lie symmetry generators that leave the equation invariant are determined. We provide exact solutions to the gravitational potentials using the first symmetry admitted by the equation. Our new exact solutions contain the earlier results for the fourdimensional case. Using the other Lie generators, we are able to provide solutions to the gravitational potentials or reduce the order of the master equation to a first order nonlinear differential equation. We also find expressions for the causal and Eckart temperatures and show their dependence on the dimension.
 Publication:

European Physical Journal C
 Pub Date:
 July 2014
 DOI:
 10.1140/epjc/s100520142952x
 arXiv:
 arXiv:1405.2402
 Bibcode:
 2014EPJC...74.2952N
 Keywords:

 Master Equation;
 Gravitational Potential;
 Gravitational Collapse;
 Naked Singularity;
 Maxwell System;
 General Relativity and Quantum Cosmology
 EPrint:
 21 pages, submitted for publication