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

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. (C) 2021 The Author(s). Published by Elsevier B.V.

Automated summary

The study presents the action of four-dimensional Horndeski gravity coupled to Born-Infeld electromagnetic fields using the Kaluza-Klein process, and constructs a dyonic black hole solution. The metric of the theory is shown to be singularity-free at the origin, unlike Einstein-Born-Infeld black holes. Thermodynamics of the black hole is investigated, thermodynamic quantities are calculated, and the satisfaction of the first law is confirmed, along with the study of thermodynamic phase transitions in extended phase space.