Nutty dyons

Brihaye, Yves; Radu, Eugen

doi:10.1016/j.physletb.2005.04.016

Cited by 12 publications

(12 citation statements)

References 38 publications

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“…The pattern of the solutions found for the ECS case is very similar to the case of EGB. In particular, the solutions available for non-zero values of γ 1 , γ 2 smoothly extrapolate between the limits γ 1 = 0 and γ 2 = 0 found in [21] and [29]. The results are summarized on Fig.…”

Section: Numerical Resultsmentioning

confidence: 54%

“…The construction of classical solutions with a non-trivial Chern-Simons term can be performed by enforcing rotations in the metric or by endowing Space-Time with a NUT charge. Nutty-Hairy black holes in Einstein-Chern-Simons gravity were constructed in [29] and [21] for γ 2 = 0 and γ 1 = 0 respectively. Similar solutions within Einstein-Gauss-Bonnet (rather than Chern-Simons) gravity were obtained in [23].…”

Section: Resultsmentioning

confidence: 99%

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Hairy black holes, boson stars and non-minimal coupling to curvature invariants

Brihaye

Ducobu

2019

Physics Letters B

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The Einstein-Klein-Gordon Lagrangian is supplemented by a non-minimal coupling of the scalar field to specific geometric invariants : the Gauss-Bonnet term and the Chern-Simons term. The non-minimal coupling is chosen as a general quadratic polynomial in the scalar field and allows -depending on the parameters -for large families of hairy black holes to exist. These solutions are characterized, namely, by the number of nodes of the scalar function. The fundamental family encompasses black holes whose scalar hairs appear spontaneously and solutions presenting shift-symmetric hairs. When supplemented by a an appropriate potential, the model possesses both hairy black holes and non-topological solitons : boson stars. These latter exist in the standard Einstein-Klein-Gordon equations; it is shown that the coupling to the Gauss-Bonnet term modifies considerably their domain of classical stability.Abandonning the hypothesis of shift-symmetry, several groups [12], [13], [14] considered during the past years, new types of coupling terms between a scalar field and specific geometric invariants (essentially the Gauss-Bonnet term). In these models the occurrence of hairy black holes results from an unstable mode of the scalar field equation in the background of a vacuum metric (the probe limit). The interacting term of the scalar field with the curvature invariant plays a role of potential and the coupling constant the role of a spectral parameter. By continuity, the hairy black holes then exist as solutions of the full system. It is used to say that the hairy black holes appear through a spontaneous scalarization for a sufficiently large value of the coupling constant.In the present paper we will consider a model of scalar-tensor gravity encompassing the theories presenting a spontaneous scalarization and the shift-symmetry property. Families of classical solutions whose pattern extrapolates smoothly between shift-symmetric hairy black holes and spontaneous scalarized ones will be constructed . The type of structure found holds when coupling the scalar field to the Gauss-Bonnet invariant and to the Einstein-Chern-Simons invariant as well. All black holes solutions found are supported by the non-minimal coupling between the scalar field and the curvature invariant; however the field equations admit other types of solutions: boson stars. These regular solutions exist with a minimal coupling of scalar field to gravity but it will be shown that the non minimal coupling has important consequences on their stability properties.The paper is organized as follow : in Sect. 2 we present the model to be studied. Namely the Einstein-Klein-Gordon Lagrangian extended by a non-minimal coupling. We discuss the spherically symmetric ansatz and the general form of the field equations. Sect. 3 is devoted to the presentation of the hairy black holes occurring in the model. The boson stars are presented in Sect. 4 with an emphasis on the influence of the non-minimal coupling of the spectrum of the solutions. Conclusions are drawn in Sect. 5. S...

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Section: Numerical Resultsmentioning

confidence: 54%

Section: Resultsmentioning

confidence: 99%

Hairy black holes, boson stars and non-minimal coupling to curvature invariants

Brihaye

Ducobu

2019

Physics Letters B

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“…Albeit a rather unusual spacetime, the Schwarzschild-NUT solution has been generalised in various directions. In particular, gauge fields have been added [33][34][35]. 9 The simplest of these solutions [33] represents an electrically charged version of the Schwarzschild-NUT solution, the Reissner-Nordström-NUT solution.…”

Section: Further Remarksmentioning

confidence: 99%

The scalarised Schwarzschild-NUT spacetime

Brihaye¹,

Herdeiro²,

Radu³

2019

Physics Letters B

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It has recently been suggested that vacuum black holes of General Relativity (GR) can become spontaneously scalarised when appropriate non-minimal couplings to curvature invariants are considered. These models circumvent the standard black hole no scalar hair theorems of GR, allowing both the standard GR solutions and new scalarised (a.k.a. hairy) solutions, which in some cases are thermodynamically preferred. Up to now, however, only (static and spherically symmetric) scalarised Schwarzschild solutions have been considered. It would be desirable to take into account the effect of rotation; however, the higher curvature invariants introduce a considerable challenge in obtaining the corresponding scalarised rotating black holes. As a toy model for rotation, we present here the scalarised generalisation of the Schwarzschild-NUT solution, taking either the Gauss-Bonnet (GB) or the Chern-Simons (CS) curvature invariant. The NUT charge n endows spacetime with "rotation", but the angular dependence of the corresponding scalarised solutions factorises, leading to a considerable technical simplification. For GB, but not for CS, scalarisation occurs for n = 0. This basic difference leads to a distinct space of solutions in the CS case, in particular exhibiting a double branch structure. In the GB case, increasing the horizon area demands a stronger non-minimal coupling for scalarisation; in the CS case, due to the double branch structure, both this and the opposite trend are found. We briefly comment also on the scalarised Reissner-Nordström-NUT solutions.

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“…Finally, let us remark that both the EYM and EYMH systems present nontrivial solutions with a NUT charge [78], [79]. These solutions approach asymptotically the Taub-NUT spacetime [80] and provide the non-Abelian counterparts of the U(1) Brill solution [81].…”

Section: Static Spherically Symmetric Fieldsmentioning

confidence: 99%

Gravitating Yang—Mills Fields in All Dimensions

Radu

Tchrakian

2010

Interdisciplinary Mathematical Sciences

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A classification of gravitating Yang-Mills systems in all dimensions is presented. These systems are set up so that they support finite energy solutions. Both regular and black hole solutions are considered, the former being the limit of the latter for vanishing event horizon radius. Special attention is paid to systems necessarily involving higher order Yang-Mills curvature terms, along with the option of incorporating higher order terms in the Riemann curvature. The scope here is restricted to Einstein systems, with or without cosmological constant, and the Yang-Mills(-Higgs) systems.

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Nutty dyons

Cited by 12 publications

References 38 publications

Hairy black holes, boson stars and non-minimal coupling to curvature invariants

Hairy black holes, boson stars and non-minimal coupling to curvature invariants

The scalarised Schwarzschild-NUT spacetime

Gravitating Yang—Mills Fields in All Dimensions

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