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Covariant description of the black hole entropy in 3D gravity

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arxiv gr-qc/0607026 v2 pith:XK5T6NM5 submitted 2006-07-06 gr-qc hep-th

Covariant description of the black hole entropy in 3D gravity

classification gr-qc hep-th
keywords blackentropyholeboundariescovariantappearingassociatedboundary
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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We study the entropy of the black hole with torsion using the covariant form of the partition function. The regularization of infinities appearing in the semiclassical calculation is shown to be consistent with the grand canonical boundary conditions. The correct value for the black hole entropy is obtained provided the black hole manifold has two boundaries, one at infinity and one at the horizon. However, one can construct special coordinate systems, in which the entropy is effectively associated with only one of these boundaries.

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Cited by 1 Pith paper

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  1. Thermodynamics of Chern-Simons AdS$_5$ black holes coupled to $\mathrm{SU}(2)$ solitons

    hep-th 2026-04 unverdicted novelty 5.0

    Chern-Simons AdS5 black holes with SU(2) solitons have entropy that receives nontrivial contributions from axial torsion and trace-torsion modes, confirmed by multiple methods.