On black hole spectroscopy via adiabatic invariance

Abstract

In this paper, we obtain the black hole spectroscopy by combining the black hole property of adiabaticity and the oscillating velocity of the black hole horizon. This velocity is obtained in the tunneling framework. In particular, we declare, if requiring canonical invariance, the adiabatic invariant quantity should be of the covariant form $I_{\text{adia}}=\oint p_{i}d{q}_i$. Using it, the horizon area of a Schwarzschild black hole is quantized independent of the choice of coordinates, with an equally spaced spectroscopy always given by $\Delta \mathcal{A}=8\pi l_p^2$ in the Schwarzschild and Painlevé coordinates.

13 pages, some references added, to be published in Phys. Lett. B

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• Fokker-Planck equation for black holes in thermal potential
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• An Application of Lorentz Invariance Violation in Black Hole Thermodynamics
• Spectroscopy and Thermodynamics of MSW Black Hole
• Quantization of horizon area of Kerr-Newman-de Sitter black hole
• Gravitational surface Hamiltonian and entropy quantization
• Entropy spectrum of charged BTZ black holes in massive gravity's rainbow
• Hawking radiation from a five-dimensional Lovelock black hole
• Entropy spectrum of the apparent horizon of Vaidya black holes via adiabatic invariance
• Entropy spectrum of (1+1) dimensional stringy black holes
• Area spectrum and thermodynamics of KS black holes in Hořava gravity
• Nonthermal correction to black hole spectroscopy
• Quasinormal Modes and Hawking Radiation Sparsity of GUP corrected Black Holes in Bumblebee Gravity with Topological Defects