Dynamics of diffeomorphism degrees of freedom at a horizon

2010/11/30 by Hyeyoun Chung · 3 citations
Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #Noncommutative and Quantum Gravity Theories #gr-qc

paper · pdf · doi:10.1103/physrevd.83.084017

published as Phys.Rev.D83:084017,2011 · 12 pages. Final version accepted for publication in Physical Review D

arxiv created 2011/03/19 · openalex publication_date 2011/04/12 · arxiv updated 2011/04/22 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

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 neighborhood of the horizon. The action is similar to that of the Liouville theory, and the equation of motion of the gravitational degrees of freedom approaches that of a free two-dimensional conformal field in the near-horizon region.

Citations

• Black Hole Thermodynamics and Statistical Mechanics
• Entropy and temperature from black-hole/near-horizon-CFT duality
• Black hole explosions?
• On the Rigidity Theorem for Spacetimes with a Stationary Event Horizon or a Compact Cauchy Horizon
• Central charges in the canonical realization of asymptotic symmetries: An example from three dimensional gravity
• Microscopic Origin of the Bekenstein-Hawking Entropy
• Black Holes and Entropy
• Isolated horizons: Hamiltonian evolution and the first law

Cited by

• Hawking Radiation and Entropy from Horizon Degrees of Freedom
• Noether Current of the Surface Term of Einstein-Hilbert Action, Virasoro Algebra, and Entropy
• Lanczos–Lovelock models of gravity