Horizon Mechanics and Asymptotic Symmetries with a Immirzi-like Parameter in 2+1 Dimensions
arXiv:1101.2724 · doi:10.1088/0264-9381/28/22/225013
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.
References added and mild modifications made in Introduction
References in corpus (11)
- Massive Gravity in Three Dimensions
- More on Massive 3D Gravity
- Black hole mass and angular momentum in topologically massive gravity
- Semi-classical central charge in topologically massive gravity
- Black Hole Entropy in the presence of Chern-Simons Terms
- Asymptotically anti-de Sitter spacetimes in topologically massive gravity
- A Immirzi-like parameter for 3d quantum gravity
- Laws of Black Hole Mechanics from Holst Action
- Extremal black holes, gravitational entropy and nonstationary metric fields
- All stationary axi-symmetric local solutions of topologically massive gravity
- Generic weak isolated horizons