Canonical structure of topologically massive gravity with a cosmological constant

Details Canonical structure of topologically massive gravity with a cosmological constant Canonical structure of topologically massive gravity with a cosmological constant

2008-12-27

arxiv.org/abs/0812.4742v3

JHEP 0905:073,2009

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

LATEX, 19 pages, v2: Extended version of v1

Scientific paper

10.1088/1126-6708/2009/05/073

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.

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