2005/01/31 by S. Carlip, Steven Carlip · 3 citations
Physics and Astronomy · #Action (physics) #Asymptotic freedom #BTZ black hole #Black Holes and Theoretical Physics #Boundary (topology) #Central charge #Classical mechanics #Conformal map #Cosmology and Gravitation Theories #Degrees of freedom (physics and chemistry) #Dynamics (music) #Entropy (arrow of time) #Gravitation #Graviton #Massive gravity #Mathematical analysis #Mathematical physics #Noncommutative and Quantum Gravity Theories #Physics #Quantum mechanics #Schwarzschild radius #de Sitter–Schwarzschild metric #gr-qc #hep-th
paper · pdf · doi:10.1088/0264-9381/22/14/014
published as Class.Quant.Grav.22:3055-3060,2005 · 8 pages, LaTeX; v2: slightly expanded discussion of implications, more references; v3: more explicit comparison to Chern-Simons approach and discussion of role of constraints; v4: added discussion of relationships to and differences with earlier work, new and corrected references
arxiv created 2005/04/28 · openalex publication_date 2005/07/04 · arxiv updated 2010/04/28 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
In asymptotically anti-de Sitter gravity, diffeomorphisms that change the conformal boundary data can be promoted to genuine physical degrees of freedom. I show that in 2+1 dimensions, the dynamics of these degrees of freedom is described by a Liouville action, with the correct central charge to reproduce the entropy of the BTZ black hole.