Hamilton-Jacobi Counterterms for Einstein-Gauss-Bonnet Gravity
James T. Liu, Wafic A. Sabra
TL;DR
This paper develops Hamilton-Jacobi counterterms for Einstein-Gauss-Bonnet gravity to regularize the gravitational action and boundary stress tensor, facilitating the study of black hole thermodynamics in higher curvature theories.
Contribution
It introduces a Hamilton-Jacobi method to derive boundary counterterms specifically for Einstein-Gauss-Bonnet gravity, extending techniques used in Einstein gravity.
Findings
Derived explicit boundary counterterms for Einstein-Gauss-Bonnet gravity.
Enabled finite on-shell action and stress tensor calculations for black holes.
Facilitated thermodynamic analysis of Einstein-Gauss-Bonnet black holes.
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.
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