Eur. Phys. J. C (2017) 77: 390
https://doi.org/10.1140/epjc/s10052-017-4966-7

Regular Article - Theoretical Physics

Thermodynamical and dynamical properties of charged BTZ black holes

¹ Department of Physics and Astronomy, Center for Astronomy and Astrophysics, Shanghai Jiao Tong University, Shanghai, 200240, China
² Center for High-Energy Physics, Peking University, Beijing, 100871, China
³ Physics Department, Faculty of Science, Shahid Chamran University of Ahvaz, Ahvaz, 61357-43135, Iran
⁴ Research Institute for Astronomy and Astrophysics of Maragha (RIAAM)-Maragha, P. O. Box: 55134-441, Maragha, Iran
⁵ Physics Department and Biruni Observatory, College of Sciences, Shiraz University, Shiraz, 71454, Iran
⁶ Instituto de Fisica, Pontificia Universidad Catolica de Valparaiso, Casilla 4950, Valparaiso, Chile

^* e-mail: tangziyu@sjtu.edu.cn

Received: 20 April 2017
Accepted: 30 May 2017
Published online: 13 June 2017

Abstract

We investigate the spacetime properties of BTZ black holes in the presence of the Maxwell field and Born–Infeld field and find rich properties in the spacetime structures when the model parameters are varied. Employing Landau–Lifshitz theory, we examine the thermodynamical phase transition in the charged BTZ black holes. We further study the dynamical perturbation in the background of the charged BTZ black holes and find different properties in the dynamics when the thermodynamical phase transition occurs.