Hawking Radiation-Quasinormal Modes Correspondence for Large AdS Black Holes

Abstract EN

It is well-known that the nonstrictly 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 reanalyze the nonstrictly 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 reanalyze 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.