Hamilton-Jacobi Counterterms for Einstein-Gauss-Bonnet Gravity

Abstract

The on-shell gravitational action and the boundary stress tensor are essential ingredients in the study of black hole thermodynamics. We employ the Hamilton-Jacobi method to calculate the boundary counterterms necessary to remove the divergences and allow the study of the thermodynamics of Einstein-Gauss-Bonnet black holes.

21 pages, LaTeX

References in corpus (8)

• Supersymmetric Completion of an R^2 Term in Five-Dimensional Supergravity
• Regularization of odd-dimensional AdS gravity: Kounterterms
• Universal regularization prescription for Lovelock AdS gravity
• Vacuum energy in Einstein-Gauss-Bonnet AdS gravity
• (Un)attractor black holes in higher derivative AdS gravity
• Counterterms in Dimensionally Continued AdS Gravity
• Five-dimensional rotating black holes in Einstein-Gauss-Bonnet theory
• Black objects in the Einstein-Gauss-Bonnet theory with negative cosmological constant and the boundary counterterm method

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