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

## Abstract

We construct a new class of (n+1)-dimensional (n{>=}3) 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 a stability analysis and investigate the effect of dilaton on the stability of the solutions.

- Authors:

- Physics Department and Biruni Observatory, Shiraz University, Shiraz 71454 (Iran, Islamic Republic of)
- (Iran, Islamic Republic of)

- Publication Date:

- OSTI Identifier:
- 20935236

- Resource Type:
- Journal Article

- Resource Relation:
- Journal Name: Physical Review. D, Particles Fields; Journal Volume: 75; Journal Issue: 2; Other Information: DOI: 10.1103/PhysRevD.75.024021; (c) 2007 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA)

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; ANTI DE SITTER GROUP; BLACK HOLES; BORN-INFELD THEORY; DE SITTER GROUP; GRAVITATION; MATHEMATICAL SOLUTIONS; SINGULARITY; THERMODYNAMICS

### Citation Formats

```
Sheykhi, A., Physics Department, Shahid Bahonar University, Kerman, and Riazi, N..
```*Thermodynamics of black holes in (n+1)-dimensional Einstein-Born-Infeld-dilaton gravity*. United States: N. p., 2007.
Web. doi:10.1103/PHYSREVD.75.024021.

```
Sheykhi, A., Physics Department, Shahid Bahonar University, Kerman, & Riazi, N..
```*Thermodynamics of black holes in (n+1)-dimensional Einstein-Born-Infeld-dilaton gravity*. United States. doi:10.1103/PHYSREVD.75.024021.

```
Sheykhi, A., Physics Department, Shahid Bahonar University, Kerman, and Riazi, N.. Mon .
"Thermodynamics of black holes in (n+1)-dimensional Einstein-Born-Infeld-dilaton gravity". United States.
doi:10.1103/PHYSREVD.75.024021.
```

```
@article{osti_20935236,
```

title = {Thermodynamics of black holes in (n+1)-dimensional Einstein-Born-Infeld-dilaton gravity},

author = {Sheykhi, A. and Physics Department, Shahid Bahonar University, Kerman and Riazi, N.},

abstractNote = {We construct a new class of (n+1)-dimensional (n{>=}3) 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 a stability analysis and investigate the effect of dilaton on the stability of the solutions.},

doi = {10.1103/PHYSREVD.75.024021},

journal = {Physical Review. D, Particles Fields},

number = 2,

volume = 75,

place = {United States},

year = {Mon Jan 15 00:00:00 EST 2007},

month = {Mon Jan 15 00:00:00 EST 2007}

}

Other availability

Save to My Library

You must Sign In or Create an Account in order to save documents to your library.