Nuttier (A)dS black holes in higher dimensions

Mann, Robert B.; Stelea, Cristian

doi:10.1088/0264-9381/21/12/010

Cited by 52 publications

(121 citation statements)

References 16 publications

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“…In this approach, we observe that the parameter |w ′ (r h )| becomes very large (likely infinite) for some maximal value of Ω H . The precise evaluation of this value is not easy because the numerical analysis becomes 11 A quick look at the field equations (34)- (35), respectively at the asymptotic expansions of the metric functions, reveals that under this scaling symmetry a, b, f remain invariant while g → λ 2 g and w → λ −1 w. Notice that according to (38) we have cϕ → λ −1 cϕ.…”

Section: Numerical Resultsmentioning

confidence: 99%

Black strings with a negative cosmological constant: inclusion of electric charge and rotation

Brihaye

Radu

Stelea

2007

Class. Quantum Grav.

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We generalize the vacuum static black string solutions of Einstein's equations with negative cosmological constant recently discussed in literature, by including an electromagnetic field. These higher-dimensional configurations have no dependence on the 'compact' extra dimension, while their boundary topology is the product of time andRotating generalizations of the even dimensional black string configurations are considered as well. Different from the static, neutral case, no regular limit is found for a vanishing event horizon radius. We explore numerically the general properties of such classical solutions and, using a counterterm prescription, we compute their conserved charges and discuss their thermodynamics. We find that the thermodynamics of the black strings follows the pattern of the corresponding black hole solutions in AdS backgrounds.

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Section: Numerical Resultsmentioning

confidence: 99%

Black strings with a negative cosmological constant: inclusion of electric charge and rotation

Brihaye

Radu

Stelea

2007

Class. Quantum Grav.

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“…However, for these solutions the magnetic charge of the black strings depends non-trivially on the cosmological constant and their limit (if any) in which the magnetic charge is sent to zero in order to recover the uncharged black strings in AdS is still unknown. Other interesting solutions whose boundary topology is a fibre bundle S 1 × S 1 ֒→ S 2 have been found in [16] and later generalised to higher dimensions in [17]. 1 Here we generalise the black string configurations of Ref.…”

Section: Introductionmentioning

confidence: 94%

Black string solutions with negative cosmological constant

Mann

Radu

Stelea

2006

J. High Energy Phys.

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199

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We present arguments for the existence of new black string solutions with negative cosmological constant. These higher-dimensional configurations have no dependence on the 'compact' extra dimension, and their conformal infinity is the product of time andThe configurations with an event horizon topology S d−2 × S 1 have a nontrivial, globally regular limit with zero event horizon radius. We discuss the general properties of such solutions and, using a counterterm prescription, we compute their conserved charges and discuss their thermodynamics. Upon performing a dimensional reduction we prove that the reduced action has an effective SL(2, R) symmetry. This symmetry is used to construct non-trivial solutions of the Einstein-Maxwell-Dilaton system with a Liouville-type potential for the dilaton in (d − 1)-dimensions.

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“…This solution (a particular case of solutions in [24,25]) has a horizon at the largest real root r = r + of f (r). The horizon geometry is H 2 ×S d−4 , where the hyperboloid H 2 has coordinates (σ, φ).…”

Section: Limits To Black Membranesmentioning

confidence: 99%

Black rings in (Anti)-de Sitter space

Caldarelli¹,

Emparan²,

Rodríguez³

2008

J. High Energy Phys.

107

208

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We construct solutions for thin black rings in Anti-deSitter and deSitter spacetimes using approximate methods. Black rings in AdS exist with arbitrarily large radius and satisfy a bound |J| ≤ LM , which they saturate as their radius becomes infinitely large. For angular momentum near the maximum, they have larger area than rotating AdS black holes. Thin black rings also exist in deSitter space, with rotation velocities varying between zero and a maximum, and with a radius that is always strictly below the Hubble radius. Our general analysis allows us to include black Saturns as well, which we discuss briefly. We present a simple physical argument why supersymmetric AdS black rings must not be expected: they do not possess the necessary pressure to balance the AdS potential. We discuss the possible existence or absence of 'large AdS black rings' and their implications for a dual hydrodynamic description. An analysis of the physical properties of rotating AdS black holes is also included.

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Nuttier (A)dS black holes in higher dimensions

Cited by 52 publications

References 16 publications

Black strings with a negative cosmological constant: inclusion of electric charge and rotation

Black strings with a negative cosmological constant: inclusion of electric charge and rotation

Black string solutions with negative cosmological constant

Black rings in (Anti)-de Sitter space

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