Entropy from near-horizon geometries of Killing horizons

Abstract

We derive black hole entropy based on the near-horizon symmetries of black hole space-times. To derive these symmetries we make use of an $(R,T)$-plane close to a Killing horizon. We identify a set of vector fields that preserves this plane and forms a Witt algebra. The corresponding algebra of Hamiltonians is shown to have a non-trivial central extension. Using the Cardy formula and the central charge we obtain the Bekenstein-Hawking entropy.

8 pages, no figures

References in corpus (2)

• Noether current from the surface term of gravitational action, Virasoro algebra and horizon entropy
• Surface term, Virasoro algebra, and Wald entropy of black holes in higher-curvature gravity

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