Canonical structure of topologically massive gravity with a cosmological constant
General Relativity and Quantum Cosmology
2009-05-29 v3
Abstract
We study the canonical structure of three-dimensional topologically massive gravity with a cosmological constant, using the full power of Dirac's method for constrained Hamiltonian systems. It is found that the dimension of the physical phase space is two per spacetime point, which corresponds to a single Lagrangian degree of freedom. The analysis of the AdS asymptotic region reveals a remarkable relation to 3D gravity with torsion: in the limit of vanishing torsion, the conserved charges and asymptotic symmetries of the two theories become identical.
Cite
@article{arxiv.0812.4742,
title = {Canonical structure of topologically massive gravity with a cosmological constant},
author = {M. Blagojević and B. Cvetković},
journal= {arXiv preprint arXiv:0812.4742},
year = {2009}
}
Comments
LATEX, 19 pages, v2: Extended version of v1