Black Hole Thermodynamics and Hamilton-Jacobi Counterterm

Abstract

We review the construction of the universal Hamilton-Jacobi counterterm for dilaton gravity in two dimensions, derive the corresponding result in the Cartan formulation and elaborate further upon black hole thermodynamics and semi-classical corrections. Applications include spherically symmetric black holes in arbitrary dimensions with Minkowski- or AdS-asymptotics, the BTZ black hole and black holes in two-dimensional string theory.

9 pages, proceedings contribution to QFEXT07 submitted to IJMPA, v2: added Ref

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• Aspects of AdS${}_2$ holography with non-constant dilaton
• First-order action and Euclidean quantum gravity
• Equivalences between 2D dilaton gravities, their asymptotic symmetries, and their holographic duals
• Two-Dimensional Quantum Gravity with Boundary
• Affine quantization of Black Holes: thermodynamics, singularity removal and displaced horizons
• Path integral for half-binding potentials as quantum mechanical analog for black hole partition functions
• Flat Holography & Holographic Renormalization: Scalar Field