Central Charges and Boundary Fields for two Dimensional Dilatonic Black Holes

Pinamonti, Nicola and Vanzo, Luciano (2003) Central Charges and Boundary Fields for two Dimensional Dilatonic Black Holes. UNSPECIFIED. (Unpublished)

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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.

    Item Type: Departmental Technical Report
    Department or Research center: Mathematics
    Subjects: Q Science > QC Physics (General) > QC020 Mathematical Physics
    Report Number: UTM 657, December 2003
    Repository staff approval on: 17 May 2005

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