Entropy of isolated horizon from surface term of gravitational action

Abstract

Starting from the surface term of gravitational action, one can construct a Virasoro algebra with central extension, with which the horizon entropy can be derived by using Cardy formula. This approach gives a new routine to calculate and interpret the horizon entropy. In this paper, we generalize this approach to a more general case, the isolated horizon, which contains non-stationary spacetimes beyond stationary ones. By imposing appropriate boundary conditions near the horizon, the full set of diffeomorphism is restricted to a subset where the corresponding Noether charges form a Virasoro algebra with central extension. Then by using the Cardy formula, we can derive the entropy of the isolated horizon.

arXiv comment11 pages

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Cited by in corpus (3)

• Extremal RN/CFT in Both Hands Revisited
• A note on electrical and thermodynamic properties of Isolated Horizon
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