Central charges and boundary fields for two dimensional dilatonic black holes

Abstract

In this paper we first show that within the Hamiltonian description of general relativity, the central charge of a near horizon asymptotic symmetry group is zero, and therefore that the entropy of the system cannot be estimated using Cardy's formula. This is done by mapping a static black hole to a two dimensional space. We explain how such a charge can only appear to a static observer who chooses to stay permanently outside the black hole. Then an alternative argument is given for the presence of a universal central charge. Finally we suggest an effective quantum theory on the horizon that is compatible with the thermodynamics behaviour of the black hole.

16 pages, no figures, LaTex 2e, references added

References in corpus (4)

• Quasinormal Modes, the Area Spectrum, and Black Hole Entropy
• d-Dimensional Black Hole Entropy Spectrum from Quasi-Normal Modes
• Horizon Entropy
• Quantum Virasoro algebra with central charge c=1 on the horizon of a 2D-Rindler spacetime

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