A scalar field instability of rotating and charged black holes in (4+1)-dimensional Anti-de Sitter space-time

Brihaye, Yves; Hartmann, Betti

doi:10.1007/jhep03(2012)050

Cited by 13 publications

(11 citation statements)

References 75 publications

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“…On the other hand for large charge the limiting solution is a singular solution with vanishing temperature and finite entropy, which is not a regular extremal black hole [34]. Similar results were obtained for a tachyonic scalar field with m 2 = −3 in [35]. Here we reinvestigate both cases and point out further details.…”

Section: Black Holessupporting

confidence: 65%

“…m 2 = 0. The results of [32] were extended to the case m 2 = −3 in [35]. The qualitative results remain similar.…”

Section: Solitonsmentioning

confidence: 77%

“…On the other hand for large charge the limiting solution is a singular solution with vanishing temperature and finite entropy, which is not a regular extremal black hole [34]. These results were extended to a tachyonic scalar field as well as to the rotating case [35]. Recently, solutions in asymptotically global AdS in 4 dimensions have been studied in [36].…”

mentioning

confidence: 88%

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Hairy charged Gauss-Bonnet solitons and black holes

Brihaye

Hartmann

2012

Phys. Rev. D

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We study the stability of (4+1)-dimensional charged Gauss-Bonnet black holes and solitons. We observe an instability related to the condensation of a scalar field and construct explicit "hairy" black hole and soliton solutions of the full system of coupled field equations. We investigate the cases of a massless scalar field as well as that of a tachyonic scalar field. The solitons with scalar hair exist for a particular range of the charge and the gauge coupling. This range is such that for intermediate values of the gauge coupling a "forbidden band" of charges for the hairy solitons exists. We also discuss the behaviour of the black holes with scalar hair when changing the horizon radius and/or the gauge coupling and find that various scenarios at the approach of a limiting solution appear. One observation is that hairy Gauss-Bonnet black holes never tend to a regular soliton solution in the limit of vanishing horizon radius. We also prove that extremal Gauss-Bonnet black holes can not carry massless or tachyonic scalar hair and show that our solutions tend to their planar counterparts for large charges.Comment: 20 pages inlcuding 17 figures; v2: discussion on planar limit included, new figure added; accepted for publication in Phys. Rev.

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Section: Black Holessupporting

confidence: 65%

“…m 2 = 0. The results of [32] were extended to the case m 2 = −3 in [35]. The qualitative results remain similar.…”

Section: Solitonsmentioning

confidence: 77%

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Hairy charged Gauss-Bonnet solitons and black holes

Brihaye

Hartmann

2012

Phys. Rev. D

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“…Gravity coupled with a scalar field is not a new idea. Black hole solutions in such theories are known as hairy black holes, and there is already a huge amount of literature on this subject [8, 10, 12-15, 20, 23-46, 64-70], and the spacetime is not only restricted to be (2 + 1)-dimensional [64][65][66][67][68][69][70]. The scalar field φ may be coupled either minimally [8, 12-14, 23, 24, 34-40] or nonminimally [9-11, 41-46, 65-70] to gravity, and it may or may not couple to itself through a self-interacting potential U(φ).…”

Section: Introductionmentioning

confidence: 99%

Charged black hole with a scalar hair in (2+1) dimensions

Zhao

2013

Phys. Rev. D

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We obtain and analyze an exact solution to Einstein-Maxwell-scalar theory in (2+ 1) dimensions, in which the scalar field couples to gravity in a nonminimal way, and it also couples to itself with the self-interacting potential solely determined by the metric ansatz. A negative cosmological constant naturally emerges as a constant term in the scalar potential. The metric is static and circularly symmetric and contains a curvature singularity at the origin. The conditions for the metric to contain 0, 1 and 2 horizons are identified, and the effects of the scalar and electric charges on the size of the black hole radius are discussed. Under proper choices of parameters, the metric degenerates into some previously known solutions in (2 + 1)-dimensional gravity.

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“…This form of the space-time is well suited to study the spectrum of the Dirac equation in several contexts such as those considered in [12]. In fact, in the present paper, we will first consider the static case, i.e.…”

Section: A Metric and Angular Isometry Groupmentioning

confidence: 99%

Dirac equation for spherically symmetric AdS5 spacetime and application to a boson star in EGB gravity

Brihaye

Delsate

Sawado

et al. 2017

Int. J. Mod. Phys. D

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We discuss the Dirac equation in a curved 5-dimensional spherically symmetric space-time. The angular part of the solutions is thoroughly studied, in a formulation suited for extending to rotating space-times with equal angular momenta. It has a symmetry SU (2) × U (1) and is implemented by the Wigner functions. The radial part forms a Dirac-Schrödinger type equation, and existence of the analytical solutions of the massless and the massive modes is confirmed. The solutions are described by the Jacobi polynomials. Also, the spinor of the both large and small components is obtained numerically. As a direct application of our formulation, we evaluate the spectrum of the Dirac fermion in Einstein-Gauss-Bonnet space-time and the space-time of a boson star.

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A scalar field instability of rotating and charged black holes in (4+1)-dimensional Anti-de Sitter space-time

Cited by 13 publications

References 75 publications

Hairy charged Gauss-Bonnet solitons and black holes

Hairy charged Gauss-Bonnet solitons and black holes

Charged black hole with a scalar hair in (2+1) dimensions

Dirac equation for spherically symmetric AdS5 spacetime and application to a boson star in EGB gravity

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