Conserved charges in 3D gravity

Abstract

The covariant canonical expression for the conserved charges, proposed by Nester, is tested on several solutions in 3D gravity with or without torsion and topologically massive gravity. In each of these cases, the calculated values of energy-momentum and angular momentum are found to satisfy the first law of black hole thermodynamics.

LATEX, 14 pages; v2: minor corrections, two references added

References in corpus (24)

• The Black Hole in Three Dimensional Space Time
• Geometry of the 2+1 Black Hole
• Massive Gravity in Three Dimensions
• Chiral Gravity in Three Dimensions
• Warped AdS_3 Black Holes
• Instability in cosmological topologically massive gravity at the chiral point
• Black hole mass and angular momentum in topologically massive gravity
• The black holes of topologically massive gravity
• Quasilocal quantities for GR and other gravity theories
• Energy in Topologically Massive Gravity
• Exact vacuum solution of a (1+2)-dimensional Poincare gauge theory: BTZ solution with torsion
• Topologically Massive Gravity at the Chiral Point is Not Unitary
• Black holes with a null Killing vector in three-dimensional massive gravity
• Asymptotically AdS_3 Solutions to Topologically Massive Gravity at Special Values of the Coupling Constants
• Canonical structure of topologically massive gravity with a cosmological constant
• Asymptotic structure of topologically massive gravity in spacelike stretched AdS sector
• Stability of warped AdS3 vacua of topologically massive gravity
• Quasilocal Energy-Momentum for Geometric Gravity Theories
• 3D gravity with torsion as a Chern-Simons gauge theory
• Background-independent charges in Topologically Massive Gravity
• The Hamiltonian boundary term and quasi-local energy flux
• Asymptotic charges in 3d gravity with torsion
• Optimal Choices of Reference for Quasi-local Energy
• Gravitational Energy-Momentum in MAG

Cited by in corpus (12)

• Continuous phase transition and critical behaviors of 3D black hole with torsion
• Charged Black Holes in New Massive Gravity
• Phase transition and entropy spectrum of BTZ black hole in three-dimensional gravity with torsion
• Conserved Charges in Extended Theories of Gravity
• Supersymmetric 3D model for gravity with $SU(2)$ gauge symmetry, mass generation and effective cosmological constant
• Covariant Symplectic Structure and Conserved Charges of Topologically Massive Gravity
• 3D gravity with propagating torsion: the AdS sector
• Conformally flat black holes in Poincaré gauge theory
• 5D Lovelock gravity: new exact solutions with torsion
• Hamiltonian formalism of Minimal Massive Gravity
• Vaidya-like exact solutions with torsion
• Generalizations of the Pontryagin and Husain-Kuchař actions to manifolds with boundary