The disjointed thermodynamics of rotating black holes with a NUT twist

Ghezelbash, A. M.; Mann, Robert B.; Sorkin, Rafael D.

doi:10.1016/j.nuclphysb.2007.04.004

Cited by 23 publications

(34 citation statements)

References 35 publications

(41 reference statements)

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“…That is, the length of η + at a proper distance ε from the north pole, must be 2πε to first order in ε. Some algebra shows that the required vector is [21] η + = 2π (∂/∂ψ + ∂/∂ϕ) .…”

Section: Entropy Of Non-extremal Kerr-bolt Spacetimesmentioning

confidence: 99%

Kerr–bolt Spacetimes and Kerr/CFT Correspondence

Ghezelbash

2012

Mod. Phys. Lett. A

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We investigate the recently proposed Kerr/CFT correspondence in the context of rotating spacetimes with a NUT twist. The Kerr/CFT correspondence states that the near-horizon states of an extremal four (or higher) dimensional black hole could be identified with a certain chiral conformal field theory. The corresponding Virasoro algebra is generated with a class of diffeomorphism which preserves an appropriate boundary condition on the near-horizon geometry. We try to understand the analog of singularities in the context of dual chiral CFT. Explicitly, we use Kerr/CFT correspondence to show that if we initially do not remove the singularities from the spacetimes, in the dual chiral CFT we can detect the presence of singularities in the bulk of spacetime.

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Section: Entropy Of Non-extremal Kerr-bolt Spacetimesmentioning

confidence: 99%

Kerr–bolt Spacetimes and Kerr/CFT Correspondence

Ghezelbash

2012

Mod. Phys. Lett. A

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“…We show all the conditions (23), (24), (25), and (27) are compatible if the parameters α and µ are chosen suitably. In order that the conditions (25) and (27) are compatible, σ 1 and σ 2 are given by…”

Section: Regularity Conditions and Topologymentioning

confidence: 93%

“…The function H(r, θ) in the form 1 Appearance of conical singularities in four-dimensional Kerr-Taub-bolt space is discussed in Refs. [27,28]. 2 A set of fixed points of a spatial Killing vector field, now it is ∂/∂ψ + 2αν/(r 2 b − ν 2 − α 2 )∂/∂φ, is called a bolt if the set is two-dimensional manifold.…”

Section: Solutionsmentioning

confidence: 99%

“…This result is consistent with the discussions in Refs. [27,28]. Even though Euclidean Kerr-Taub-bolt space (4) has conical singularities at the north and the south poles on the bolt, we can obtain regular multi-black hole solution (2) with (4)- (7) by putting black holes on them.…”

Section: Regularity Conditions and Topologymentioning

confidence: 99%

“…As discussed in Refs. [27,28], Kerr-Taub-bolt space has conical singularities at the poles on the bolt.…”

Section: Introductionmentioning

confidence: 99%

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A pair of extremal charged black holes on Kerr–Taub-bolt space

Matsuno

Ishihara

Kimura

2015

Class. Quantum Grav.

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We construct asymptotically Kaluza-Klein solutions in five-dimensional Einstein-Maxwell theory which represent a pair of extremal, charged, static black holes on Kerr-Taub-bolt space. Regularity conditions require that the topology of spatial infinity and that of each black hole are not S 3 , but different lens spaces. We show that for a given topology at spatial infinity, there are an infinite number of different horizon topologies for the black hole pair. We briefly discuss a generalization to the case with a positive cosmological constant.

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NUTs and bolts beyond Lovelock

Bueno

Cano

Hennigar

et al. 2018

J. High Energ. Phys.

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We construct a plethora of new Euclidean AdS-Taub-NUT and bolt solutions of several fourand six-dimensional higher-curvature theories of gravity with various base spaces B. In D = 4, we consider Einsteinian cubic gravity, for which we construct solutions with B = S 2 , T 2 . These represent the first generalizations of the Einstein gravity Taub-NUT/bolt solutions for any highercurvature theory in four dimensions. In D = 6, we show that no new solutions are allowed for any Generalized quasi-topological gravity at cubic order. They exist however when we consider quartic Quasi-topological and Generalized quasi-topological terms, for which we construct new solutions with B = CP 2 , S 2 × S 2 , S 2 × T 2 , T 2 × T 2 . In all cases, the solutions are characterized by a single metric function, and they reduce to the corresponding ones in Einstein gravity when the higher-curvature couplings are set to zero. While the explicit profiles must be constructed numerically (except for a few cases), we obtain fully analytic expressions for the thermodynamic properties of all solutions. The new solutions present important differences with respect to Einstein gravity, including regular bolts for arbitrary values of the NUT charge, critical points, and re-entrant phase transitions.

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The disjointed thermodynamics of rotating black holes with a NUT twist

Cited by 23 publications

References 35 publications

Kerr–bolt Spacetimes and Kerr/CFT Correspondence

Kerr–bolt Spacetimes and Kerr/CFT Correspondence

A pair of extremal charged black holes on Kerr–Taub-bolt space

NUTs and bolts beyond Lovelock

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