Static charged perfect fluid with the Weyl-Majumdar relation

Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology

Scientific paper

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7 pages, no figures

Scientific paper

10.1143/PTP.103.573

Static charged perfect fluid distributions have been studied. It is shown that if the norm of the timelike Killing vector and the electrostatic potential have the Weyl-Majumdar relation, then the background spatial metric is the space of constant curvature, and the field equations reduces to a single non-linear partial differential equation. Furthermore, if the linear equation of state for the fluid is assumed, then this equation becomes a Helmholtz equation on the space of constant curvature. Some explicit solutions are given.

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