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Conditions for nonexistence of static or stationary, Einstein-Maxwell, non-inheriting black-holes

Paul Tod
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Abstract

We consider asymptotically-flat, static and stationary solutions of the Einstein equations representing Einstein-Maxwell space-times in which the Maxwell field is not constant along the Killing vector defining stationarity, so that the symmetry of the space-time is not inherited by the electromagnetic field. We find that static degenerate black hole solutions are not possible and, subject to stronger assumptions, nor are static, non-degenerate or stationary black holes. We describe the possibilities if the stronger assumptions are relaxed.

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Paul Tod. 2006-11-05. Conditions for nonexistence of static or stationary, Einstein-Maxwell, non-inheriting black-holes. https://doi.org/10.1007/s10714-006-0363-5

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