Hawking radiation-quasinormal modes correspondence for large AdS black holes

Abstract

It is well-known that the non-strictly thermal character of the Hawking radiation spectrum generates a natural correspondence between Hawking radiation and black hole quasinormal modes. This main issue has been analyzed in the framework of Schwarzschild black holes, Kerr black holes and nonextremal Reissner-Nordstrom black holes. In this paper, by introducing the effective temperature, we reanalysis the non-strictly thermal character of large AdS black holes. The results show that the effective mass corresponding to the effective temperature is approximatively the average one in any dimension. And the other effective quantities can also be obtained. Based on the known forms of frequency in quasinormal modes, we reanalysis the asymptotic frequencies of the large AdS black hole in three and five dimensions. Then we get the formulas of the Bekenstein-Hawking entropy and the horizon's area quantization with functions of the quantum "overtone" number $n$.

6 pages

References in corpus (9)

• The physical interpretation of the spectrum of black hole quasinormal modes
• Temporal contribution to gravitational WKB-like calculations
• Subtleties in the quasi-classical calculation of Hawking radiation
• Black hole quantum tunnelling and black hole entropy correction
• Thermal radiation of various gravitational backgrounds
• Problems with Tunneling of Thin Shells from Black Holes
• Black Hole Thermodynamics and the Factor of 2 Problem
• Effective temperature, Hawking radiation and quasinormal modes
• Information-carrying Hawking radiation and the number of microstate for a black hole

Cited by in corpus (2)

• Quantum Tunneling and Quasinormal Modes in the Spacetime of Alcubierre Warp Drive
• Quantum Hair on Colliding Black Holes