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

Understand

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.