Effective temperature, Hawking radiation and quasinormal modes

Abstract

Parikh and Wilczek have shown that Hawking radiation's spectrum cannot be strictly thermal. Such a non-strictly thermal character implies that the spectrum is also not strictly continuous and thus generates a natural correspondence between Hawking radiation and black hole's quasinormal modes. This issue endorses the idea that, in an underlying unitary quantum gravity theory, black holes result highly excited states. We use this key point to re-analyze the spectrum of black hole's quasinormal modes by introducing a black hole's effective temperature. Our analysis changes the physical understanding of such a spectrum and enables a re-examination of various results in the literature which realizes important modifies on quantum physics of black holes. In particular, the formula of the horizon's area quantization and the number of quanta of area are modified becoming functions of the quantum "overtone" number n. Consequently, Bekenstein-Hawking entropy, its sub-leading corrections and the number of microstates, i.e. quantities which are fundamental to realize unitary quantum gravity theory, are also modified. They become functions of the quantum overtone number too. Previous results in the literature are re-obtained in the very large n limit.

This essay received an honorable mention in the 2012 Essay Competition of the Gravity Research Foundation. 11 pages, founded on the research paper JHEP 1108, 101 (2011), arXiv:1107.5334

References in corpus (3)

• The physical interpretation of the spectrum of black hole quasinormal modes
• Black hole quantum tunnelling and black hole entropy correction
• Is gravitational entropy quantized ?

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• Dirac quasinormal modes of two-dimensional charged Dilatonic Black Holes
• Hawking radiation-quasinormal modes correspondence for large AdS black holes
• Quantum Tunnelling for Hawking Radiation from Both Static and Dynamic Black Holes
• Nonthermal correction to black hole spectroscopy
• Quantum corrected non-thermal radiation spectrum from the tunnelling mechanism
• Quasinormal modes of three $(2+1)$-dimensional black holes in string theory, conformal gravity, and Hu-Sawicki $F(R)$ theory via the Heun function
• Initiating the effective unification of black hole horizon area and entropy quantization with quasi-normal modes