Eur. Phys. J. C (2015) 75: 131
https://doi.org/10.1140/epjc/s10052-015-3347-3

Regular Article - Theoretical Physics

Nonlinear electromagnetic quasinormal modes and Hawking radiation of a regular black hole with magnetic charge

¹ Department of Physics, Chongqing University, Chongqing, 400030, China
² Instituto de Física, Universidade de São Paulo, CP 66318, São Paulo, 05315-970, Brazil
³ Department of Physics, Huazhong University of Science and Technology, Wuhan, 430074, China

^* e-mail: cqstarv@hotmail.com

Received: 27 September 2014
Accepted: 6 March 2015
Published online: 20 March 2015

Abstract

Based on a regular exact black hole (BH) from nonlinear electrodynamics (NLED) coupled to general relativity, we investigate the stability of such BH through the Quasinormal Modes (QNMs) of electromagnetic (EM) field perturbations and its thermodynamics through Hawking radiation. In perturbation theory, we can deduce the effective potential from a nonlinear EM field. The comparison of the potential function between regular and RN BHs could predict similar QNMs. The QNM frequencies tell us the effect of the magnetic charge , the overtone , and the angular momentum number on the dynamic evolution of NLED EM field. Furthermore we also discuss the cases of near-extreme conditions of such a magnetically charged regular BH. The corresponding QNM spectrum illuminates some special properties in the near-extreme cases. For the thermodynamics, we employ the Hamilton–Jacobi method to calculate the near-horizon Hawking temperature of the regular BH and reveal the relationship between the classical parameters of the black hole and its quantum effects.