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

Author(s)

Li, Jin ^[1] ; Lin, Kai ^[2] ; Yang, Nan ^[3]

Affiliation

^[1] Chongqing Univ, Dept Phys, Chongqing 400030 - Peoples R China

^[2] Univ Sao Paulo, Inst Fis, BR-05315970 Sao Paulo - Brazil

^[3] Huazhong Univ Sci & Technol, Dept Phys, Wuhan 430074 - Peoples R China

• Document type: Journal article
• Source: EUROPEAN PHYSICAL JOURNAL C; v. 75, n. 3 MAR 20 2015.
• Web of Science Citations: 15

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 q, the overtone n, and the angular momentum number l 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. (AU)

• FAPESP's process: 12/08934-0 - Horava's gravity at Lifshitz fixed points and its applications to cosmology and astrophysics
• Grantee: Kai Lin
• Support Opportunities: Scholarships in Brazil - Post-Doctoral