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Static charged perfect fluid with the Weyl-Majumdar relation

Daisuke Ida
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Abstract

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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Daisuke Ida. 2000-04-12. Static charged perfect fluid with the Weyl-Majumdar relation. https://doi.org/10.1143/ptp.103.573

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