Dynamics of Diffeomorphism Degrees of Freedom at a Horizon

Abstract

We define a set of boundary conditions that ensure the presence of a null hypersurface with the essential characteristics of a horizon, using the formalism of weakly isolated horizons as a guide. We then determine the diffeomorphisms that preserve these boundary conditions, and derive a dynamical action for these diffeomorphisms in a neighbourhood of the horizon. The action is similar to that of Liouville theory, and the equation of motion of the gravitational degrees of freedom approaches that of a free two-dimensional conformal field theory in the near-horizon region.

12 pages. Final version accepted for publication in Physical Review D

References in corpus (4)

• Black Hole Thermodynamics and Statistical Mechanics
• Entropy and Temperature From Black-Hole/Near-Horizon-CFT Duality
• Conformal Gravity from AdS/CFT mechanism
• Conformal entropy from horizon states: Solodukhin's method for spherical, toroidal, and hyperbolic black holes in D-dimensional anti-de Sitter spacetimes

Cited by in corpus (1)

• A Near Horizon CFT Dual for Kerr-Newman-$AdS$