First integrals for charged perfect fluid distributions |
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| Authors: | MC KweyamaSD Maharaj KS Govinder |
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| Institution: | Astrophysics and Cosmology Research Unit, School of Mathematical Sciences, University of KwaZulu-Natal, Private Bag X54001, Durban 4000, South Africa |
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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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| Keywords: | Einstein-Maxwell equations Exact solutions Charged fields |
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