Charged black holes in higher-dimensional Eddington-inspired Born-Infeld gravity

TL;DR

This paper explores higher-dimensional charged black hole solutions in Eddington-inspired Born-Infeld gravity, analyzing their properties with both linear and nonlinear electrodynamics, and examining their thermodynamics and stability.

Contribution

It presents new higher-dimensional black hole solutions in EiBI gravity coupled with Born-Infeld electrodynamics, including their thermodynamic behavior and stability analysis.

Findings

Electric field singularity is cured with BI electrodynamics in higher dimensions.

EiBI coupling causes charge screening affecting Hawking temperature.

Black holes can be thermodynamically stable with smaller horizons than Reissner-Nordström.

Abstract

We study static (electrically)-charged solutions of Eddington-inspired Born-Infeld (EiBI) theory of gravity in general $D$-dimensional spacetime. We consider both linear (Maxwell) as well as nonlinear electrodynamics for the matter fields. In this particular work, the nonlinear theory we specifically consider is the Born-Infeld electrodynamics. The solutions describe higher-dimensional black holes in EiBI gravity. For the linear Maxwell field, we show that the electric field is still singular for $D>4$. This singularity is cured when EiBI is coupled to the BI electrodynamics. We obtain EiBI-BI black hole solutions in the limit of ${\tilde\alpha}\equiv4\kappa b^2/\lambda=1$ and $2$. We also investigate their thermodynamical property. It is found that $\kappa$ imposes a charge screening that makes the corresponding Hawking temperature experiences some sudden jump from charged-type to the Schwarzschild-type at some critical value of $\kappa$. Thermodynamical stability reveals that the EiBI-BI black holes can exist with smaller horizon than the RN.