Microscopic entropy of the three-dimensional rotating black hole of BHT massive gravity - High Energy Physics - TheoryReport as inadecuate




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Abstract: Asymptotically AdS rotating black holes for the Bergshoeff-Hohm-TownsendBHT massive gravity theory in three dimensions are considered. In the specialcase when the theory admits a unique maximally symmetric solution, apart fromthe mass and the angular momentum, the black hole is described by anindependent -gravitational hair- parameter, which provides a negative lowerbound for the mass. This bound is saturated at the extremal case and, since thetemperature and the semiclassical entropy vanish, it is naturally regarded asthe ground state. The absence of a global charge associated with thegravitational hair parameter reflects through the first law of thermodynamicsin the fact that the variation of this parameter can be consistently reabsorbedby a shift of the global charges, giving further support to consider theextremal case as the ground state. The rotating black hole fits within relaxedasymptotic conditions as compared with the ones of Brown and Henneaux, suchthat they are invariant under the standard asymptotic symmetries spanned by twocopies of the Virasoro generators, and the algebra of the conserved chargesacquires a central extension. Then it is shown that Strominger-s holographiccomputation for general relativity can also be extended to the BHT theory;i.e., assuming that the quantum theory could be consistently described by adual conformal field theory at the boundary, the black hole entropy can bemicroscopically computed from the asymptotic growth of the number of statesaccording to Cardy-s formula, in exact agreement with the semiclassical result.



Author: Gaston Giribet, Julio Oliva, David Tempo, Ricardo Troncoso

Source: https://arxiv.org/







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