Hairy AdS solitons

Anabalón, Andrés; Astefanesei, Dumitru; Choque, David

doi:10.1016/j.physletb.2016.08.049

Cited by 24 publications

(28 citation statements)

References 49 publications

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“…[7],°= x rn-ft ( 9) Equations (7)-(9) are of second order both in the metric and in the scalar field. When these equations are imposed, the trace of energy-momentum tensor (8), of course, vanishes.…”

Section: The Theorymentioning

confidence: 99%

“…One evaluates the action functional in an ansatz compatible with the stationary configuration (10) and 2First-order phase transitions for four-dimensional black holes with a minimally coupled self-interacting scalar hair has been recently found in [8].…”

Section: Conserved Chargesmentioning

confidence: 99%

“…be shown to transform covariantly under Weyl x ^plf>1 ■ -SP 2k~'P 2kx2t_^2k'(8) rescaling. More precisely, if one performs the Weyl transformation and the equation for the scalar…”

mentioning

confidence: 99%

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Different phases of hairy black holes inAdS5space

2015

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We investigate the thermodynamics of hairy black holes in asymptotically anti-de Sitter (AdS) space, including backreaction. Resorting to the Euclidean path integral approach, we show that matter conformally coupled to Einstein gravity in five dimensions may exhibit a phase transition whose endpoint turns out to be a hairy black hole in AdS5 space. The scalar field configuration happens to be regular everywhere outside and on the horizon and behaves asymptotically in such a way that respects the AdS boundary conditions that are relevant for AdS/CFT. The theory presents other peculiar features in the ultraviolet, like the existence of black holes with arbitrarily low temperature in AdS5. This provides a simple setup in which the fully backreacting problem of a hair forming in AdS at a certain critical temperature can be solved analytically.

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Section: The Theorymentioning

confidence: 99%

Section: Conserved Chargesmentioning

confidence: 99%

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Different phases of hairy black holes inAdS5space

2015

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“…Particularly, we find that these so-called topological AdS black holes are always thermodynamically stable, and there do not exist Hawking-Page phase transitions related to those topological black holes [18]. Of course, we should mention here that if one of spatial coordinates is compacted for the Ricci flat AdS black holes, then the AdS space-time in Poincare coordinates is no longer a ground state with respect to the black hole solutions, instead the so-called AdS soliton has more low energy and then there is a Hawking-Page phase transition between the Ricci flat black hole and AdS soliton [20][21][22]. The Ricci flat black holes mean zero curvature horizon black holes.…”

Section: Introductionmentioning

confidence: 98%

AdS Black Hole with Phantom Scalar Field

Zhang¹,

Zeng²,

Li³

2017

Advances in High Energy Physics

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We present an AdS black hole solution with Ricci flat horizon in Einstein-phantom scalar theory. The phantom scalar fields just depend on the transverse coordinates and , which are parameterized by the parameter . We study the thermodynamics of the AdS phantom black hole. Although its horizon is a Ricci flat Euclidean space, we find that the thermodynamical properties of the black hole solution are qualitatively the same as those of AdS Schwarzschild black hole. Namely, there exists a minimal temperature and the large black hole is thermodynamically stable, while the smaller one is unstable, so there is a so-called Hawking-Page phase transition between the large black hole and the thermal gas solution in the AdS space-time in Poincare coordinates. We also calculate the entanglement entropy for a strip geometry dual to the AdS phantom black holes and find that the behavior of the entanglement entropy is qualitatively the same as that of the black hole thermodynamical entropy.

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“…Solutions of this type may or may not have horizons, and have been classified as hairy versions of the AdS black hole or the AdS soliton, respectively. [7,8,9,10]. In [1], [2] new types of such asymptotically AdS solutions in three space-time dimensions were found.…”

Section: Introductionmentioning

confidence: 87%

Rotating AdS-Einstein universes from constrained metrics

Harms

2019

Phys. Rev. D

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The imposition of a constraint between the metric tensor elements in both three-and fourdimensional, rotating AdS space-times is shown to reduce the number of independent equations of motion and to result in new families of solutions to the equations of motion. For the geometries investigated analytic solutions or partial analytic solutions of the equations of motion are obtained. In all cases the number of independent field equations is less than the number of independent functions, resulting in an undetermined function which can be freely specified. For rotating, asymptotically AdS space-times the reduction of the number of field equations to be solved holds for vacuum black hole solutions and for black hole solutions obtained from space-times containing matter. *

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Hairy AdS solitons

Cited by 24 publications

References 49 publications

Different phases of hairy black holes inAdS5space

Different phases of hairy black holes inAdS5space

AdS Black Hole with Phantom Scalar Field

Rotating AdS-Einstein universes from constrained metrics

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