Black hole scalarization from the breakdown of scale invariance

Herdeiro, Carlos; Radu, Eugen

doi:10.1103/physrevd.99.084039

Cited by 53 publications

(19 citation statements)

References 97 publications

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“…This was demonstrated for f (φ) = exp(−αφ 2 ) and I = F µν F µν , where F µν is the electromagnetic field strength tensor, in [32]. Moreover, models containing higher order terms in F µν can also lead to scalarization [33].…”

Section: Introductionmentioning

confidence: 89%

Spontaneous scalarization of charged black holes at the approach to extremality

Brihaye

Hartmann

2019

Physics Letters B

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We study static, spherically symmetric and electrically charged black hole solutions in a quadratic Einstein-scalar-Gauss-Bonnet gravity model. Very similar to the uncharged case, black holes undergo spontaneous scalarization for sufficiently large scalar-tensor coupling γ -a phenomenon attributed to a tachyonic instability of the scalar field system. While in the uncharged case, this effect is only possible for positive values of γ, we show that for sufficiently large values of the electric charge Q two independent domains of existence in the γ-Q-plane appear : one for positive γ and one for negative γ. We demonstrate that this new domain for negative γ exists because of the fact that the near-horizon geometry of a nearly extremally charged black hole is AdS 2 × S 2 . This new domain appears for electric charges larger than approximately 74% of the extremal charge. For positive γ we observe that a singularity with diverging curvature invariants forms outside the horizon when approaching extremality.

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Section: Introductionmentioning

confidence: 89%

Spontaneous scalarization of charged black holes at the approach to extremality

Brihaye

Hartmann

2019

Physics Letters B

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“…2 Taking into account quantum corrections, electrovacuum BHs can also become scalarized in the original scalar-tensor model [10].…”

Section: Introductionmentioning

confidence: 99%

Higher dimensional black hole scalarization

Astefanesei

Herdeiro

Oliveira

et al. 2020

J. High Energ. Phys.

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In the simplest scalar-tensor theories, wherein the scalar field is non-minimally coupled to the Ricci scalar, spontaneous scalarization of electrovacuum black holes (BHs) does not occur. This ceases to be true in higher dimensional spacetimes, d > 4. We consider the scalarization of the higher dimensional Reissner-Nordström BHs in scalar-tensor models and provide results on the zero modes for different d, together with an explicit construction of the scalarized BHs in d = 5, discussing some of their properties. We also observe that a conformal transformation into the Einstein frame maps this model into an Einstein-Maxwel- scalar model, wherein the non-minimal coupling occurs between the scalar field and the Maxwell invariant (rather than the Ricci scalar), thus relating the occurence of scalarization in the two models. Next, we consider the spontaneous scalarization of the Schwarzschild- Tangherlini BH in extended-scalar-tensor-Lovelock gravity in even dimensions. In these models, the scalar field is non-minimally coupled to the (d/2)th Euler density, in d spacetime dimensions. We construct explicitly examples in d = 6, 8, showing the properties of the four dimensional case are qualitatively generic, but with quantitative differences. We compare these higher d scalarized BHs with the hairy BHs in shift-symmetric Horndeski theory, for the same d, which we also construct.

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“…where M is the black hole mass, Q is the electric charge, r − = e 2φ∞ Q 2 /M and φ ∞ is the asymptotic value of the scalar field. The scalar field and the gauge potential read 32) whereas the electric intensity and induction are 33) and the magnetic induction and intensity vanish:…”

Section: The Gmghs Black Holementioning

confidence: 99%

“…Couplings 1-3 were discussed in [17][18][19] in the context of EMS models allowing spontaneous scalarisation of charged black holes (see also, e.g. [28][29][30][31][32][33][34][35][36][37][38][39][40][41][42]); all these coupling functions have the same behaviour for small values of αφ 2 . Coupling 4 was discussed in [21]; it does not allow spontaneous scalarisations but it exhibits an interesting two-branch space of solutions with scalar hair, co-existing with the standard Reissner-Nordström black hole, in a trinity of non-uniqueness.…”

Section: Other Models With Scalarised and Axionic Black Holesmentioning

confidence: 99%

Electromagnetic dual Einstein-Maxwell-scalar models

Herdeiro

Oliveira

2020

J. High Energ. Phys.

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Electromagnetic duality is discussed in the context of Einstein-Maxwell-scalar (EMS) models including axionic-type couplings. This family of models introduces two nonminimal coupling functions f (φ) and g(φ), depending on a real scalar field φ. Interpreting the scalar field as a medium, one naturally defines constitutive relations as in relativistic non-linear electrodynamics. Requiring these constitutive relations to be invariant under the SO(2) electromagnetic duality rotations of Maxwell's theory, defines 1-parameter, closed duality orbits in the space of EMS models, connecting different electromagnetic fields in "dual" models with different coupling functions, but leaving both the scalar field and the spacetime geometry invariant. This mapping works as a solution generating technique, extending any given solution of a specific model to a (different) solution for any of the dual models along the whole duality orbit. We illustrate this technique by considering the duality orbits seeded by specific EMS models wherein solitonic and black hole solutions are known. For dilatonic models, specific rotations are equivalent to S-duality.

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Black hole scalarization from the breakdown of scale invariance

Cited by 53 publications

References 97 publications

Spontaneous scalarization of charged black holes at the approach to extremality

Spontaneous scalarization of charged black holes at the approach to extremality

Higher dimensional black hole scalarization

Electromagnetic dual Einstein-Maxwell-scalar models

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