Horizon conformal entropy in Gauss-Bonnet gravity
M. Cvitan, S. Pallua, P. Prester
TL;DR
This paper derives the entropy of spherically symmetric black holes in Gauss-Bonnet gravity using a conformal symmetry approach near the horizon, confirming the microscopic count matches the macroscopic entropy.
Contribution
It introduces a horizon conformal field theory framework for Gauss-Bonnet black holes, connecting boundary conditions to entropy calculation via Virasoro algebra.
Findings
Virasoro algebra is realized near the horizon.
The microscopic entropy matches the known macroscopic expression.
Boundary conditions lead to an effective 2D theory for black hole horizons.
Abstract
We treat spherically symmetric black holes in Gauss-Bonnet gravity by imposing boundary conditions on fluctuating metric on the horizon. Obtained effective two-dimensional theory admits Virasoro algebra near the horizon. This enables, with the help of Cardy formula, evaluation of the number of states. Obtained results coincide with the known macroscopic expression for the entropy of black holes in Gauss-Bonnet gravity.
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