Quasi-local Energy in 3D Gravity with Torsion

Wei, Cheng-Hao; Ning, Bo

doi:10.48550/arxiv.1807.08736

Cited by 2 publications

(2 citation statements)

References 32 publications

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“…It is worth noting here that in Refs. [36][37][38] it is found that torsion does not contribute to black hole entropy in Riemann-Cartan spacetimes (see, however, Ref. [39]).…”

Section: Black Hole Entropymentioning

confidence: 99%

Noether charge and black hole entropy in teleparallel gravity

Hammad¹,

Dijamco²,

Torres-Rivas³

et al. 2019

Phys. Rev. D

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The Noether charge associated to diffeomorphism invariance in teleparallel gravity is derived. It is shown that the latter yields the ADM mass of an asymptotically flat spacetime. The black hole entropy is then investigated based on Wald's prescription that relies on the Noether charge. It is shown that, like in general relativity, the surface gravity can be factored out from such a charge. Consequently, the similarity with the first law of thermodynamics implied by such an approach in general relativity does show up also in teleparallel gravity. It is found that, based on the expression of the first law of black hole mechanics, which is preserved in teleparallel gravity, entropy can thus be extracted from such a Noether charge. The resulting entropy can very naturally be expressed as a volume integral, though. As such, it is shown that the conformal issue that plagues the entropy-area law within general relativity does not arise in teleparallel gravity based on Wald's approach. The physics behind these features is discussed.

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“…It is worth noting here that in Refs. [36][37][38] it is found that torsion does not contribute to black hole entropy in Riemann-Cartan spacetimes (see, however, Ref. [39]).…”

Section: Black Hole Entropymentioning

confidence: 99%

Noether charge and black hole entropy in teleparallel gravity

Hammad¹,

Dijamco²,

Torres-Rivas³

et al. 2019

Phys. Rev. D

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show abstract

“…In summary, our analysis explains how the double Witt and bms 3 algebras arise from the current algebra. For generality we perform this study on the most general first order theory [50][51][52][53][54][55][56][57][58][59][60][61][62], which allows for the presence of curvature, torsion, and three independent central charges.…”

Section: Motivationsmentioning

confidence: 99%

Dual diffeomorphisms and finite distance asymptotic symmetries in 3d gravity

Geiller¹,

Goeller²

2020

Preprint

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We study the finite distance boundary symmetry current algebra of the most general first order theory of 3d gravity. We show that the space of quadratic generators contains diffeomorphisms but also a notion of dual diffeomorphisms, which together form either a double Witt or centreless BMS3 algebra. The relationship with the usual asymptotic symmetry algebra relies on a duality between the null and angular directions, which is possible thanks to the existence of the dual diffeomorphisms.

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Quasi-local Energy in 3D Gravity with Torsion

Cited by 2 publications

References 32 publications

Noether charge and black hole entropy in teleparallel gravity

Noether charge and black hole entropy in teleparallel gravity

Dual diffeomorphisms and finite distance asymptotic symmetries in 3d gravity

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