Mass Spectrum for Black Holes in Generic 2-D Dilaton Gravity

Abstract

Two arguments for the quantization of entropy for black holes in generic 2-D dilaton gravity are summarized. The first argument is based on reduced quantization of the only physical observables in the theory, namely the black hole mass and its conjugate momentum, the Killing time separation. The second one uses the exact physical mass eigenstates for Euclidean black holes found via Dirac quantization. Both methods give the same spectrum: the black hole entropy must be quantized $S=2\pi n/G$.

6 pages, Latex

References in corpus (2)

• Quantum Black Hole Model and Hawking's Radiation
• Extremal black hole entropy from conformal string sigma model

Cited by in corpus (12)

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• Prospecting Black Hole Thermodynamics with Fractional Quantum Mechanics
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• Quantum Spectrum for a Kerr-Newman Black Hole
• On the "Universal" Quantum Area Spectrum
• Kerr Black Hole as a Quantum Rotator
• The quantum of area $\Delta A=8\pi l_P^2$ and a statistical interpretation of black hole entropy
• A brief commentary on black hole entropy
• Gravitational surface Hamiltonian and entropy quantization
• Questions of Stability near Black Hole Critical Points