Charged Black Holes from Interacting Vacuum

Abstract

In this paper charged black holes are obtained assuming that a Born-Infeld electrodynamics may arise from an interaction between the electromagnetic field and a vacuum component. In this context Cauchy horizons do not appear in the maximal analytical extension once an event horizon is formed so that the interior spacetime does not suffer from any sort of instabilities which are well known in the literature. On the contrary, the causal structure exhibits an event horizon -- encapsulating a spacelike singularity -- and a cosmological horizon. We show that the strong cosmic censorship is then restored for a wide range of the parameters including configurations in which the black hole charge is much larger than its mass. We also show that the black hole thus formed described by our solution exhibits an unstable photon sphere analogous to that of the Schwarzschild metric.