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arXiv · 1301.1412

First integrals for charged perfect fluid distributions

M. C. Kweyama·S. D. Maharaj·K. S. Govinder
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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.

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M. C. Kweyama, S. D. Maharaj, K. S. Govinder. 2013-01-08. First integrals for charged perfect fluid distributions. https://arxiv.org/abs/1301.1412

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