Hawking radiation-quasinormal modes correspondence for large AdS black holes

TL;DR

This paper explores the relationship between Hawking radiation and quasinormal modes for large AdS black holes by introducing an effective temperature, leading to new formulas for entropy and area quantization.

Contribution

It introduces the concept of effective temperature for large AdS black holes and derives new formulas for entropy and horizon area quantization based on quasinormal modes.

Findings

Effective mass approximates the average in any dimension.

Derived asymptotic frequencies for large AdS black holes in 3 and 5 dimensions.

Formulated entropy and area quantization functions of the overtone number n.

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 $n$.