Horizon Constraints and Black Hole Entropy
arXiv:hep-th/0408123 · doi:10.1088/0264-9381/22/7/007
Abstract
To ask a question about a black hole in quantum gravity, one must restrict initial or boundary data to ensure that a black hole is actually present. For two-dimensional dilaton gravity, and probably a much wider class of theories, I show that the imposition of a spacelike ``stretched horizon'' constraint modifies the algebra of symmetries, inducing a central term. Standard conformal field theory techniques then fix the asymptotic density of states, reproducing the Bekenstein-Hawking entropy. The states responsible for black hole entropy can thus be viewed as ``would-be gauge'' states that become physical because the symmetries are altered.
11 pages, LaTeX, 1 figure; v2: slightly expanded, minor corrections, new appendix on stretched horizon; v3: new comment on cutoff-dependence of central charge, minor rewording
References in corpus (1)
Cited by in corpus (23)
- Conformal Field Theory, (2+1)-Dimensional Gravity, and the BTZ Black Hole
- Lanczos-Lovelock models of gravity
- A unified geometric framework for boundary charges and dressings: non-Abelian theory and matter
- Dynamics of Asymptotic Diffeomorphisms in (2+1)-Dimensional Gravity
- Noether Current, Horizon Virasoro Algebra and Entropy
- Effective Conformal Descriptions of Black Hole Entropy
- Black Hole Thermodynamics from Near-Horizon Conformal Quantum Mechanics
- Symmetries, Horizons, and Black Hole Entropy
- On the Universality of Hawking Radiation
- Highly Damped Quasinormal Modes of Generic Single Horizon Black Holes
- Noether current of the surface term of Einstein-Hilbert action, Virasoro algebra and entropy
- Quantum optics meets black hole thermodynamics via conformal quantum mechanics: II. Thermodynamics of acceleration radiation
- Black Hole Thermodynamics from Euclidean Horizon Constraints
- An action for the exact string black hole
- Black Hole Entropy and the Problem of Universality
- Horizons, Constraints, and Black Hole Entropy
- Conformal Tightness of Holographic Scaling in Black Hole Thermodynamics
- Conformal entropy for generalised gravity theories as a consequence of horizon properties
- Quantum Tunneling in Black Holes
- Statistical entropy of the Schwarzschild black hole
- Physics-to-gauge conversion at black hole horizons
- A Schwarzian on the Stretched Horizon
- Boundary Conservation from Bulk Symmetry