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arXiv · hep-th/0312065

Central charges and boundary fields for two dimensional dilatonic black holes

N. Pinamonti·L. Vanzo
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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.

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N. Pinamonti, L. Vanzo. 2003-12-11. Central charges and boundary fields for two dimensional dilatonic black holes. https://doi.org/10.1103/physrevd.69.084012

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