First integrals for charged perfect fluid distributions
General Relativity and Quantum Cosmology
2013-01-09 v1
Abstract
We study the evolution of shear-free spherically symmetric charged fluids in general relativity. We find a new parametric class of solutions to the Einstein-Maxwell system of field equations. Our charged results are a generalisation of earlier treatments for neutral relativistic fluids. We regain the first integrals found previously for uncharged matter as a special case. In addition an explicit first integral is found which is necessarily charged.
Keywords
Cite
@article{arxiv.1301.1412,
title = {First integrals for charged perfect fluid distributions},
author = {M. C. Kweyama and S. D. Maharaj and K. S. Govinder},
journal= {arXiv preprint arXiv:1301.1412},
year = {2013}
}
Comments
18 pages, To appear in Nonlinear Analysis: RWA