Dyonic Born-Infeld black hole in four-dimensional Horndeski gravity

TL;DR

This paper constructs a novel dyonic black hole solution in four-dimensional Horndeski gravity coupled with Born-Infeld fields, revealing non-singular behavior and analyzing its thermodynamics and phase transitions.

Contribution

It introduces a new dyonic black hole solution in Horndeski gravity with Born-Infeld fields, highlighting its non-singular nature and thermodynamic properties.

Findings

Black hole metric is non-singular at the origin.

Thermodynamic quantities satisfy the first law.

Black holes exhibit phase transitions in extended phase space.

Abstract

The action of four-dimensional Horndeski gravity coupled to Born-Infeld electromagnetic fields is given via the Kaluza-Klein process. Dyonic black hole solution of the theory is constructed. The metric is devoid of singularity at the origin independent of the parameter selections, this property is different from the one of Einstein-Born-Infeld black holes. Thermodynamics of the black hole is studied, thermodynamic quantities are calculated and the first law is checked to be satisfied. Thermodynamic phase transitions of the black holes are studied in extended phase space.