Dual 2d CFT identification of extremal black rings from holes

Self Cite

In this paper we continue our analysis of arXiv:1308.1478 and study in detail the parameter space of three families of doubly spinning black ring solutions: balanced black ring, unbalanced ring and dipole-charged balanced black rings. In all these three families the Extremal Vanishing Horizon (EVH) ring appears in the vanishing limit of the dimensionful parameter of the solution which measures the ring size. We study the near horizon limit of the EVH black rings and for all three cases we find a (pinching orbifold) AdS 3 throat with the AdS 3 radius ℓ 2 = 8G 5 M/(3π) where M is the ring mass and G 5 is the 5d Newton constant. We also discuss the near horizon limit of near-EVH black rings and show that the AdS 3 factor is replaced with a generic BTZ black hole. We use these results to extend the EVH/CFT correspondence for black rings, a 2d CFT dual to near-EVH black rings.

Section: Jhep09(2014)036supporting

confidence: 57%

“…In this section we study the most general EVH region in the parameter space of DRBR, extending and generalizing discussions in [18].…”

Section: Balanced Evh Pomeransky-sen'kov Black Ringmentioning

confidence: 88%

Section: Jhep09(2014)036mentioning

confidence: 99%

Section: Balanced Evh Pomeransky-sen'kov Black Ringmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations

More on five dimensional EVH black rings

Ghodsi

Golchin

Sheikh-Jabbari

2014

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Extremal vanishing horizon Kerr-AdS black holes at ultraspinning limit

Noorbakhsh¹,

Vahidinia

2018

By utilizing the ultraspinning limit we generate a new class of extremal vanishing horizon (EVH) black holes in odd dimensions (d ≥ 5). Starting from the general multi-spinning Kerr-AdS metrics, we show the EVH limit commutes with the ultraspinning limit,in which the resulting solutions possess a non-compact but finite area manifold for all (t, r = r + ) = const. slices. We also demonstrate the near horizon geometries of obtained ultraspinning EVH solutions contain an AdS 3 throats, where it would be a BTZ black hole in the near EVH cases. The commutativity of the ultraspinning and near horizon limits for EVH solutions is confirmed as well. Furthermore, we discuss only five-dimensional case near the EVH point can be viewed as a super-entropic black hole. We also show that the thermodynamics of the obtained solutions agree with the BTZ black hole. Moreover we investigate the EVH/CFT proposal, demonstrating the entropy of 2d dual CFT and Bekenstein-Hawking entropy are equivalent.

NHEG mechanics: laws of near horizon extremal geometry (thermo)dynamics

Hajian

Seraj

Sheikh-Jabbari

2014

Near Horizon Extremal Geometries (NHEG) are solutions to gravity theories with SL(2, R)×U(1) N (for some N ) symmetry, are smooth geometries and have no event horizon, unlike black holes. Following the ideas by R. M. Wald, we derive laws of NHEG dynamics, the analogs of laws of black hole dynamics for the NHEG. Despite the absence of horizon in the NHEG, one may associate an entropy to the NHEG, as a Noether-Wald conserved charge. We work out "entropy" and "entropy perturbation" laws, which are respectively universal relations between conserved Noether charges corresponding to the NHEG and a system probing the NHEG. Our entropy law is closely related to Sen's entropy function. We also discuss whether the laws of NHEG dynamics can be obtained from the laws of black hole thermodynamics in the extremal limit.