Black holes of dimensionally continued gravity coupled to Born-Infeld electromagnetic field

TL;DR

This paper constructs and analyzes topological and dyonic black holes in dimensionally continued gravity coupled with Born-Infeld electromagnetic fields, revealing phase transition behaviors similar to van der Waals fluids in certain cases.

Contribution

It introduces new black hole solutions in diverse dimensions within this theoretical framework and explores their thermodynamic phase transitions.

Findings

Van der Waals-like phase transitions occur in even-dimensional spherical black holes.

No such phase transitions are observed in other black hole types.

Thermodynamic laws are established for the constructed black holes.

Abstract

In this paper, for dimensionally continued gravity coupled to Born-Infeld electromagnetic field, we construct topological black holes in diverse dimensions and construct dyonic black holes in general even dimensions. We study thermodynamics of the black holes and obtain first laws. We study thermal phase transitions of the black holes in $T$-$S$ plane and find van der Waals-like phase transitions for even-dimensional spherical black holes, such phase transitions are not found for other types of black holes constructed in this paper.