Asymptotically nonflat Einstein-Born-Infeld-dilaton black holes with Liouville-type potential

Details Asymptotically nonflat Einstein-Born-Infeld-dilaton black holes with Liouville-type potential Asymptotically nonflat Einstein-Born-Infeld-dilaton black holes with Liouville-type potential

2006-05-03

arxiv.org/abs/hep-th/0605043v4

Phys.Rev.D74:044025,2006

Physics

High Energy Physics

High Energy Physics - Theory

15pages

Scientific paper

10.1103/PhysRevD.74.044025

We construct some classes of electrically charged, static and spherically symmetric black hole solutions of the four-dimensional Einstein-Born-Infeld-dilaton gravity in the absence and presence of Liouville-type potential for the dilaton field and investigate their properties. These solutions are neither asymptotically flat nor (anti)-de Sitter. We show that in the presence of the Liouville-type potential, there exist two classes of solutions. We also compute temperature, entropy, charge and mass of the black hole solutions, and find that these quantities satisfy the first law of thermodynamics. We find that in order to fully satisfy all the field equations consistently, there must be a relation between the electric charge and other parameters of the system..

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