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First integrals for charged perfect fluid distributions. (English) Zbl 1254.76184

Summary: 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.

MSC:

76Y05 Quantum hydrodynamics and relativistic hydrodynamics

Software:

Mathematica
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References:

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