General criteria for the existence of conformally flat Riemannian solutions in three-dimensional Poincare gauge theory without matter are formulated. Using these criteria, we show that the Oliva-Tempo-Troncoso black hole, a solution of the Bergshoeff-Hohm-Townsend gravity, is also an exact vacuum solution of the Poincare gauge theory. The related conserved charges, calculated from the Hamiltonian boundary term, are shown to satisfy the first law of black hole thermodynamics. The form of the boundary term is verified by using the covariant Hamiltonian approach.
机构:
Univ Maragheh, Res Inst Astron & Astrophys Maragha RIAAM, POB 55136-553, Maragheh, IranUniv Maragheh, Res Inst Astron & Astrophys Maragha RIAAM, POB 55136-553, Maragheh, Iran
Ziaie, Amir Hadi
Corda, Christian
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BM Birla Sci Ctr, Int Inst Applicable Math & Informat Sci, Hyderabad 500063, India
Ist Livi, Via Antonio Marini 9, I-59100 Prato, ItalyUniv Maragheh, Res Inst Astron & Astrophys Maragha RIAAM, POB 55136-553, Maragheh, Iran