Thermodynamics of black holes in $(n+1)$-dimensional Einstein-Born-Infeld dilaton gravity

TL;DR

This paper introduces new higher-dimensional black hole solutions in Einstein-Born-Infeld-dilaton gravity, analyzing their thermodynamics, stability, and unique properties in non-asymptotically flat or AdS spacetimes.

Contribution

It constructs and studies a novel class of black hole solutions with Liouville-type dilaton potential in higher dimensions, including their thermodynamics and stability.

Findings

Solutions can be black holes, extremal, or naked singularities depending on parameters.

Thermodynamic quantities satisfy the first law.

Dilaton field influences the stability of solutions.

Abstract

We construct a new class of $(n+1)$-dimensional $(n\geq3)$ black hole solutions in Einstein-Born-Infeld-dilaton gravity with Liouville-type potential for the dilaton field and investigate their properties. These solutions are neither asymptotically flat nor (anti)-de Sitter. We find that these solutions can represent black holes, with inner and outer event horizons, an extreme black hole or a naked singularity provided the parameters of the solutions are chosen suitably. We compute the thermodynamic quantities of the black hole solutions and find that these quantities satisfy the first law of thermodynamics. We also perform stability analysis and investigate the effect of dilaton on the stability of the solutions.