Black holes with scalar hair in Einstein–Gauss–Bonnet gravity

Brihaye, Yves; Ducobu, Ludovic

doi:10.1142/s021827181650084x

Cited by 7 publications

(8 citation statements)

References 47 publications

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“…Finally, it would be interesting to construct rotating solutions, and see how the solutions presented here connect to those studied in [12].…”

Section: Discussionmentioning

confidence: 92%

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Scalar hair around charged black holes in Einstein-Gauss-Bonnet gravity

Grandi¹,

Landea²

2018

Phys. Rev. D

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We explore charged black hole solutions in Einstein-Gauss-Bonnet gravity in five dimensions, with a charged scalar hair. We interpret such hairy black holes as the final state of the superradiant instability previously reported for this system. We explore the relation of the hairy black hole solutions with the non-backreacting quasibound states and scalar clouds, as well as with the boson star solutions. *

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“…Finally, it would be interesting to construct rotating solutions, and see how the solutions presented here connect to those studied in [12].…”

Section: Discussionmentioning

confidence: 92%

“…An interesting feature about five dimensional gravity is that Gauss-Bonnet term becomes dynamically non-trivial. The effect of the Gauss-Bonnet deformation to Myers-Perry hairy black holes was studied in [12].…”

mentioning

confidence: 99%

Scalar hair around charged black holes in Einstein-Gauss-Bonnet gravity

Grandi¹,

Landea²

2018

Phys. Rev. D

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“…It will be continued by extending the investigations on teleparallel Gauss-Bonnet scalar-torsion theory, such as the theories discussed in [65][66][67]. In the Riemannian case, it is well known that these theories have asymptotically flat scalarized black holes with spontaneous scalarization [32,33,36]. Since the Gauss-Bonnet scalar-torsion theories contains the standard Riemannian case in a certain limit, it is obvious to mention that those theories also will contain those solutions.…”

Section: Discussionmentioning

confidence: 94%

“…In these theories, it was shown that scalarised black holes exists for several choices of the non-minimal coupling function F (ψ) [30][31][32][33][34][35][36]. The first example was provided in [30,31] assuming a linear coupling (F (ψ) ∝ ψ).…”

Section: Introductionmentioning

confidence: 99%

Scalarized Black Holes in Teleparallel Gravity

Bahamonde,

Ducobu,

Pfeifer

2022

Preprint

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Black holes play a crucial role in the understanding of the gravitational interaction. Through the direct observation of the shadow of a black hole by the event horizon telescope and the detection of gravitational waves of merging black holes we now start to have direct access to their properties and behaviour, which means the properties and behaviour of gravity. This further raised the demand for models to compare with those observations. In this respect, an important question regarding black holes properties is to know if they can support "hairs". While this is famously forbidden in general relativity, in particular for scalar fields, by the so-called no-hair theorems, hairy black holes have been shown to exist in several class of scalar-tensor theories of gravity. In this article we investigate the existence of scalarized black holes in scalar-torsion theories of gravity. On one hand, we find exact solutions for certain choices of couplings between a scalar field and the torsion tensor of a teleparallel connection and certain scalar field potentials, and thus proof the existence of scalarized black holes in these theories. On the other hand, we show that it is possible to establish no-scalar-hair theorems similar to what is known in general relativity for other choices of these functions.

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“…Note that in the later case, again a complex doublet of scalar fields has been used. Rotating EGB black holes with uncharged scalar hair were shown to exist in [62]. An interesting new feature appearing in 5-dimensional EGB gravity is that now static, electrically charged black hole solutions with charged scalar hair (that possesses harmonic time-dependence) do exist [63].…”

Section: Introductionmentioning

confidence: 99%

Critical phenomena of charged Einstein–Gauss–Bonnet black holes with charged scalar hair

Brihaye

Hartmann

2018

Class. Quantum Grav.

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Einstein-Gauss-Bonnet-gravity (EGB) coupled minimally to a U (1) gauged, massive scalar field possesses -for appropriate choices of the U (1) charge -black hole solutions that carry charged scalar hair if the frequency of the harmonic time-dependence of the scalar field is equal to the upper bound on the superradiant frequency. The existence of these solutions has first been discussed in [63]. In this paper, we demonstrate that the critical value of the scalar charge results from the requirement of non-extremality of the charged black hole solutions and the fact that the scalar field should not escape to infinity. Moreover, we investigate the hairy black holes in more detail and demonstrate that the branch of these solutions joins the branch of the corresponding charged EGB black hole for vanishing scalar field, but is not connected to the branch of boson stars in the limit of vanishing horizon radius. This indicates that it is unlikely that these black holes appear from the collapse of the corresponding boson stars. Finally, we prove a No-hair theorem for charged scalar fields with harmonic time-dependence for static, spherically symmetric, asymptotically flat electro-vacuum black holes in d space-time dimensions and hence demonstrate that the GB term is crucial for the existence of the hairy black holes discussed in this paper.

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Black holes with scalar hair in Einstein–Gauss–Bonnet gravity

Cited by 7 publications

References 47 publications

Scalar hair around charged black holes in Einstein-Gauss-Bonnet gravity

Scalar hair around charged black holes in Einstein-Gauss-Bonnet gravity

Scalarized Black Holes in Teleparallel Gravity

Critical phenomena of charged Einstein–Gauss–Bonnet black holes with charged scalar hair

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