English

Horizon Mechanics and Asymptotic Symmetries with a Immirzi-like Parameter in 2+1 Dimensions

General Relativity and Quantum Cosmology 2011-11-01 v2

Abstract

Starting with a generalized theory of 2+1 gravity containing an Immirzi like parameter, we derive the modified laws of black hole mechanics using the formalism of weak isolated horizons. Definitions of horizon mass and angular momentum emerge naturally in this framework. We further go on to analyze the asymptotic symmetries, as first discussed by Brown and Henneaux, and analyze their implications in a completely covariant phase space framework.

Keywords

Cite

@article{arxiv.1101.2724,
  title  = {Horizon Mechanics and Asymptotic Symmetries with a Immirzi-like Parameter in 2+1 Dimensions},
  author = {Rudranil Basu and Ayan Chatterjee},
  journal= {arXiv preprint arXiv:1101.2724},
  year   = {2011}
}

Comments

References added and mild modifications made in Introduction