Black hole entropy from the boundary conformal structure in 3D gravity with torsion

Blagojević, M.; Cvetković, B.

doi:10.1088/1126-6708/2006/10/005

Cited by 32 publications

(37 citation statements)

References 34 publications

(52 reference statements)

Supporting

Mentioning

Contrasting

Order By: Relevance

“…The above formula for the black hole entropy coincides with the results obtained in Refs. [22,23]; in particular, it is in perfect agreement with the first law of black hole thermodynamics.…”

Section: Entropysupporting

confidence: 68%

Covariant description of the black hole entropy in 3D gravity

Blagojević¹,

Cvetković²

2006

Class. Quantum Grav.

View full text Add to dashboard Cite

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.

show abstract

Section: Entropysupporting

confidence: 68%

Covariant description of the black hole entropy in 3D gravity

Blagojević¹,

Cvetković²

2006

Class. Quantum Grav.

View full text Add to dashboard Cite

show abstract

“…The values of the central charges derived above provide us with a tool to compute the black hole entropy microscopically. This was discussed in [53,54,55] for the case of the theory with torsion, and it follows the well-known procedure originally proposed by Strominger in [56]. This amounts to considering the Cardy formula [57] of the dual CFT.…”

Section: Black Hole Entropymentioning

confidence: 99%

Addition of torsion to chiral gravity

Santamaría

Edelstein²,

Garbarz³

et al. 2011

Phys. Rev. D

View full text Add to dashboard Cite

Three-dimensional gravity in anti-de Sitter space is considered, including torsion. The derivation of the central charges of the algebra that generates the asymptotic isometry group of the theory is reviewed, and a special point of the theory, at which one of the central charges vanishes, is compared with the chiral point of topologically massive gravity. This special point corresponds to a singular point in the Chern-Simons theory, where one of the two coupling constants of the SLð2; RÞ actions vanishes. A prescription to approach this point in the space of parameters is discussed, and the canonical structure of the theory is analyzed.

show abstract

“…It is easy to see that the theory described by the above Lagrangian is not a torsion-free one (for 3D gravity models with torsion refer to [47][48][49]). If the two last terms in the Lagrangian (14) are eliminated, the obtained Lagrangian can be interpreted as a Lagrangian of the Mielke-Baekler model [46], non-minimally coupled to a scalar field.…”

Section: Minimal Massive Gravity Coupled To a Scalar Fieldmentioning

confidence: 99%

Conserved charges of minimal massive gravity coupled to scalar field

Setare

Adami

2018

Eur. Phys. J. C

View full text Add to dashboard Cite

Recently, the theory of topologically massive gravity non-minimally coupled to a scalar field has been proposed, which comes from the Lorentz-Chern-Simons theory (JHEP 06, 113, 2015), a torsion-free theory. We extend this theory by adding an extra term which makes the torsion to be non-zero. We show that the BTZ spacetime is a particular solution to this theory in the case where the scalar field is constant. The quasi-local conserved charge is defined by the concept of the generalized off-shell ADT current. Also a general formula is found for the entropy of the stationary black hole solution in context of the considered theory. The obtained formulas are applied to the BTZ black hole solution in order to obtain the energy, the angular momentum and the entropy of this solution. The central extension term, the central charges and the eigenvalues of the Virasoro algebra generators for the BTZ black hole solution are thus obtained. The energy and the angular momentum of the BTZ black hole using the eigenvalues of the Virasoro algebra generators are calculated. Also, using the Cardy formula, the entropy of the BTZ black hole is found. It is found that the results obtained in two different ways exactly match, just as expected.

show abstract

Black hole entropy from the boundary conformal structure in 3D gravity with torsion

Abstract: Asymptotic symmetry of the Euclidean 3D gravity with torsion is described by two independent Virasoro algebras with different central charges. Elements of this boundary conformal structure are combined with Cardy's formula to calculate the black hole entropy.

Cited by 32 publications

References 34 publications

Covariant description of the black hole entropy in 3D gravity

Covariant description of the black hole entropy in 3D gravity

Addition of torsion to chiral gravity

Conserved charges of minimal massive gravity coupled to scalar field

Contact Info

Product

Resources

About