Black hole and cosmological space-times in Born-Infeld-Einstein theory

TL;DR

This paper explores black hole and cosmological solutions within Born-Infeld-Einstein theory, revealing unique horizon structures and singularities, and deriving anisotropic cosmological models with electromagnetic fields.

Contribution

It introduces a novel approach to analyze black holes and cosmology in Born-Infeld-Einstein theory, including the derivation of field equations and solutions with electric and magnetic charges.

Findings

Presence of curvature singularity at nonzero radius

Black holes with one or two horizons and various singularity types

Existence of anisotropic cosmological solutions with electromagnetic fields

Abstract

In this paper I examine black hole and cosmological space-times in Born-Infeld-Einstein theory with electric and magnetic charges. The field equations are derived and written in the form $G_{\mu\nu}=-\kappa T_{\mu\nu}$ for spherically symmetric space-times. The energy-momentum tensor is not the Born-Infeld energy-momentum tensor, but can be obtained from Born-Infeld theory by letting $a\to ia$, where $a$ is the Born-Infeld parameter. It is shown that there is a curvature singularity in spherically symmetric space-times at a nonzero radial coordinate and that, as in Reissner-Nordstrom space-times, there are zero, one or two horizons. Charged black holes have either two horizons and a timelike singularity or one horizon with a spacelike, timelike, or null singularity. Anisotropic cosmological solutions with electric and magnetic fields are obtained from the spherically symmetric solutions.