Conformal entropy as a consequence of the properties of stationary Killing horizons

Abstract

We show that microscopic black hole entropy formula based on Virasoro algebra can be derived from usual properties of stationary Killing horizons alone and absence of singularities of curvature invariants on them. In such a way some usual additional assumptions are shown to be fulfilled. In addition, for all quantities power expansion near horizon and thus explicit insight of the limiting procedure is given. More important the near horizon conformal symmetry proposed by Carlip together with its consequences on microscopic entropy is given a clear geometric origin.

arXiv comment6 pages, minor changes and rearrangements

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• Horizon constraints and black hole entropy
• Symmetries, Horizons, and Black Hole Entropy
• Noether current of the surface term of Einstein-Hilbert action, Virasoro algebra and entropy
• Extremal black holes in D=5: SUSY vs. Gauss-Bonnet corrections
• Horizons, Constraints, and Black Hole Entropy
• Black Hole Entropy and the Problem of Universality
• Conformal entropy for generalised gravity theories as a consequence of horizon properties
• Black Holes as Conformal Field Theories on Horizons
• Horizon Conformal Field Theories from $Ad{S}_2$ Black Holes
• Gravitational anomalies and entropy
• Liouville Theory on Horizons: Towards a Quantum Theory of Black Holes
• Symmetries at stationary Killing horizons
• Microscopic entropy of trapping horizon
• Surface charge of horizon symmetries of a black hole with supertranslation field