New charged shearfree relativistic models with heat flux
Abstract
We study shearfree spherically symmetric relativistic gravitating fluids with heat flow and electric charge. The solution to the Einstein–Maxwell system is governed by the generalised pressure isotropy condition which contains a contribution from the electric field. This condition is a highly nonlinear partial differential equation. We analyse this master equation using Lie's group theoretic approach. The Lie symmetry generators that leave the equation invariant are found. The first generator is independent of the electromagnetic field. The second generator depends critically on the form of the charge, which is determined explicitly in general. We provide exact solutions to the gravitational potentials using the symmetries admitted by the equation. Our new exact solutions contain earlier results without charge. We show that other charged solutions, related to the Lie symmetries, may be generated using the algorithm of Deng. This leads to new classes of charged Deng models which are generalisations of conformally flat metrics.
 Publication:

European Physical Journal C
 Pub Date:
 November 2013
 DOI:
 10.1140/epjc/s100520132637x
 arXiv:
 arXiv:1412.6728
 Bibcode:
 2013EPJC...73.2637N
 Keywords:

 Master Equation;
 Gravitational Potential;
 Gravitational Collapse;
 Order Differential Equation;
 Stellar Model;
 General Relativity and Quantum Cosmology
 EPrint:
 16 pages, submitted for publication