Asymptotic symmetries in 3D gravity with torsion

2003/01/15 by M. Blagojević, M. Blagojevic, M. Vasilic +1 · 35 citations
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Central charge #Conformal map #Cosmology and Gravitation Theories #General relativity #Geometry #Homogeneous space #Mathematical analysis #Mathematical physics #Mathematics #Noncommutative and Quantum Gravity Theories #Physics #Pure mathematics #Realization (probability) #Theoretical physics #Torsion (gastropod) #gr-qc #hep-th

paper · pdf · doi:10.1103/physrevd.67.084032

published in Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields 67(8) (American Physical Society) · 25 pages, RevTeX, no figures

arxiv created 2003/01/15 · openalex publication_date 2003/04/29 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

We study the nature of asymptotic symmetries in topological 3D gravity with torsion. After introducing the concept of an asymptotically anti--de Sitter configuration, we find that the canonical realization of the asymptotic symmetry is characterized by the Virasoro algebra with a classical central charge, the value of which is the same as in general relativity: c=3l/2G.

Citations

• Black hole in three-dimensional spacetime
• Poincaré gauge theory of (2+1)-dimensional gravity
• 2 + 1 dimensional gravity as an exactly soluble system
• Central charges in the canonical realization of asymptotic symmetries: An example from three dimensional gravity
• New general relativity
• Geometry of the 2+1 Black Hole

Cited by

• Black hole entropy from the boundary conformal structure in 3D gravity with torsion
• Covariant description of the black hole entropy in 3D gravity
• 2+1 quantum gravity with a Barbero–Immirzi-like parameter on toric spatial foliation