Charged Black Holes in Einsteinian Quartic Gravity

TL;DR

This paper explores charged black hole solutions in Einsteinian quartic gravity, revealing unique thermodynamic and stability properties, and showing deviations from classical black hole features like the inner horizon and extremal bounds.

Contribution

It introduces and analyzes charged black hole solutions in Einsteinian quartic gravity, highlighting their distinct thermodynamic behavior and non-uniqueness compared to classical theories.

Findings

Charged black holes in EQG lack inner horizons.

Black holes in EQG do not obey GR's extremal bounds.

Solutions exhibit specific thermodynamic stability properties.

Abstract

In this paper, we studied Einsteinian quartic gravity minimally coupled to electrodynamics in four dimensions. First, by variation action, we obtain the field equations, and by integration, we obtain a nonlinear third-order differential equation for the metric function and as well as the electromagnetic potential. Then, in the context of the Maxwell field, we discussed the conditions under which the charged black hole exists. Then, we have demonstrated the thermodynamics and stability of the solution for the case of positive coupling of quartic theory. Finally, we showed that the charged black hole solutions of EQG (unlike GR and like ECG) have no inner horizon and do not conform to the extremal bound of GR. Also, the uniqueness of BH solutions in this theory does not work anymore.