Eur. Phys. J. C (2011) 71: 1551
https://doi.org/10.1140/epjc/s10052-011-1551-3

Regular Article - Theoretical Physics

Charged BTZ-like black holes in higher dimensions

¹ Physics Department, College of Sciences, Yasouj University, Yasouj, 75914, Iran
² Research Institute for Astrophysics and Astronomy of Maragha (RIAAM), P.O. Box 55134-441, Maragha, Iran

^* e-mail: hendi@mail.yu.ac.ir

Received: 22 October 2010
Revised: 11 January 2011
Published online: 8 February 2011

Abstract

Motivated by many worthwhile papers about (2+1)-dimensional BTZ black hole solutions, we generalize them to (n+1)-dimensional solutions, the so-called BTZ-like solutions. We show that the electric field of BTZ-like solutions is the same as that of (2+1)-dimensional BTZ black holes, and also their lapse functions are approximately the same, too. By these similarities, it is also interesting to investigate the geometric and thermodynamics properties of the BTZ-like solutions. We find that, depending on the metric parameters, the BTZ-like solutions may be interpreted as black hole solutions with inner (Cauchy) and outer (event) horizons, an extreme black hole or naked singularity. Then, we obtain the conserved and thermodynamic quantities, and we show that they satisfy the first law of thermodynamics. Next, we perform a thermodynamic stability analysis in the canonical ensemble and find that the BTZ-like solutions are stable in the whole phase space.