Yukawa Black Holes from Interacting Vacuum
arXiv:2108.04911 · doi:10.1088/1361-6382/ac7d8e
Abstract
In this paper we obtain an exact solution of Einstein field equations assuming an interaction between a vacuum component and the Maxwell field. The key feature of such interaction refers to a simple stress exchange so that the electromagnetic field naturally incorporates the Yukawa potential. It is shown that the resulting spacetime thus obtained can either be a naked singularity or a black hole with an inner Cauchy horizon and an exterior event horizon . For this latter configuration we examine the group velocity of test photons in the region . Beyond a lower bound for the frequency we show that superluminal velocities arise in a neighbourhood of the event horizon and that the coupling parameter of the interaction is actually connected to a nonvanishing rest mass for the photon.
Accepted for publication in Classical and Quantum Gravity
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