Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology
Scientific paper
2010-10-13
JHEP 1101:082,2011
Astronomy and Astrophysics
Astrophysics
General Relativity and Quantum Cosmology
LATEX, 21 pages; v2: minor corrections
Scientific paper
10.1007/JHEP01(2011)082
We study the Hamiltonian structure of the Bergshoeff-Hohm-Townsend (BHT) massive gravity with a cosmological constant. In the space of coupling constants $(\Lambda_0,m^2)$, our canonical analysis reveals the special role of the condition $\Lambda_0/m^2\neq-1$. In this sector, the dimension of the physical phase space is found to be $N^*=4$, which corresponds to two Lagrangian degree of freedom. When applied to the AdS asymptotic region, the canonical approach yields the conserved charges of the BTZ black hole, and central charges of the asymptotic symmetry algebra.
Blagojević Milutin
Cvetković Branislav
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