Hoffmann-Infeld Black Hole Solutions in Lovelock Gravity

TL;DR

This paper explores five-dimensional black hole solutions in Lovelock gravity coupled with Hoffmann-Infeld non-linear electrodynamics, revealing unique thermodynamic behaviors and stability features, including black hole remnants and phase transition indications.

Contribution

It introduces new black hole solutions with distinctive thermodynamic properties in Lovelock gravity coupled to Hoffmann-Infeld electrodynamics, including the analysis of their stability and geometric features.

Findings

Double peak temperature behavior indicating black hole remnants

Existence of a plateau in the evaporation rate suggesting instability

Asymptotically AdS solutions related to Chern-Simons gravity

Abstract

Five-dimensional black holes are studied in Lovelock gravity coupled to Hoffmann-Infeld non-linear electrodynamics. It is shown that some of these solutions present a double peak behavior of the temperature as a function of the horizon radius. This feature implies that the evaporation process, though drastic for a period, leads to an eternal black hole remnant. Moreover, the form of the caloric curve corresponds to the existence of a plateau in the evaporation rate, which implies that black holes of intermediate scales turn out to be unstable. The geometrical aspects, such as the absence of conical singularity, the structure of horizons, etc. are also discussed. In particular, solutions that are asymptotically AdS arise for special choices of the parameters, corresponding to charged solutions of five-dimensional Chern-Simons gravity.