Regular black holes in Einstein cubic gravity

TL;DR

This paper explores how Einstein cubic gravity influences regular black hole solutions with nonlinear electrodynamics, revealing modifications to their core structure, thermodynamic stability, and phase transitions.

Contribution

It introduces perturbative corrections to regular black holes in Einstein cubic gravity, showing the formation of de Sitter-like cores and analyzing their thermodynamic properties.

Findings

ECG causes a naked singularity at high coupling

Regularized Hawking temperature for small charge and ECG

Phase transition between unstable and stable black hole states

Abstract

We investigate the effects of the Einstein cubic gravity (ECG) on regular black hole solutions driven by nonlinear electrodynamics (NLE) sources. The ECG tends to form a naked singularity at the origin for a high ECG coupling constant. Assuming that ECG provides only perturbative corrections to the regular magnetic charged solutions, we found modified regular solutions with a de Sitter-like core whose cosmological constant depends on the magnetic charge and the ECG coupling constant. The thermodynamic stability is investigated by means of the Hawking temperature and the heat capacity. In fact, for a small charge and ECG coupling, the Hawking temperature is regularized, leaving a thermodynamic stable remnant for a small $r_h \neq 0$. The heat capacity reveals that the ECG regular black hole undergoes a phase transition between an unstable into a stable configuration.