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

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

2006-10-08

arxiv.org/abs/hep-th/0610085v1

Phys.Rev.D75:024021,2007

Physics

High Energy Physics

High Energy Physics - Theory

18 pages, 15 figures

Scientific paper

10.1103/PhysRevD.75.024021

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.

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