Charged anti-de Sitter scalar-tensor black holes and their thermodynamic phase structure

Understand

In the present paper we numerically construct new charged anti-de Sitter black holes coupled to nonlinear Born-Infeld electrodynamics within a certain class of scalar-tensor theories.

• The properties of the solutions are investigated both numerically and analytically.
• We also study the thermodynamics of the black holes in the canonical ensemble.
• For large values of the Born-Infeld parameter and for a certain interval of the charge values we find the existence of a first-order phase transition between small and very large black holes.