A higher-order Skyrme model

Gudnason, Sven Bjarke; Nitta, Muneto

doi:10.1007/jhep09(2017)028

Cited by 21 publications

(27 citation statements)

References 52 publications

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“…We found that a secondary branch of solutions emerges at α max , extending backwards in α -figure 3 (right panel). Along this second branch, both σ(0) and f 1 decrease as α decreases, while the value of the physical mass 8 An approximate form of the solutions compatible with these conditions can easily be constructed. For example, the small−r expansion contains two essential parameters, F (0) and σ(0).…”

Section: Jhep11(2017)037mentioning

confidence: 99%

“…This condition is also implied by the regularity of energy and angular momentum densities as r → r H . Then the function F (r) possess an approximate solution near the horizon (with λ 2 = 0), which, up to order O(r − r H ) reads: 8) all higher order coefficients being determined by F (r H ) > 0. The profiles of a typical solution on a given MP background are shown in figure 8.…”

Section: Jhep11(2017)037mentioning

confidence: 99%

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Skyrmions, Skyrme stars and black holes with Skyrme hair in five spacetime dimension

Brihaye

Herdeiro

Radu

et al. 2017

J. High Energ. Phys.

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We consider a class of generalizations of the Skyrme model to five spacetime dimensions (d = 5), which is defined in terms of an O(5) sigma model. A special ansatz for the Skyrme field allows angular momentum to be present and equations of motion with a radial dependence only. Using it, we obtain: 1) everywhere regular solutions describing localised energy lumps (Skyrmions); 2) Self-gravitating, asymptotically flat, everywhere non-singular solitonic solutions (Skyrme stars), upon minimally coupling the model to Einstein's gravity; 3) both static and spinning black holes with Skyrme hair, the latter with rotation in two orthogonal planes, with both angular momenta of equal magnitude. In the absence of gravity we present an analytic solution that satisfies a BPS-type bound and explore numerically some of the non-BPS solutions. In the presence of gravity, we contrast the solutions to this model with solutions to a complex scalar field model, namely boson stars and black holes with synchronised hair. Remarkably, even though the two models present key differences, and in particular the Skyrme model allows static hairy black holes, when introducing rotation, the synchronisation condition becomes mandatory, providing further evidence for its generality in obtaining rotating hairy black holes.

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Section: Jhep11(2017)037mentioning

confidence: 99%

Section: Jhep11(2017)037mentioning

confidence: 99%

Skyrmions, Skyrme stars and black holes with Skyrme hair in five spacetime dimension

Brihaye

Herdeiro

Radu

et al. 2017

J. High Energ. Phys.

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“…The corresponding vortex equation itself was already introduced in [18] in a different context. Another BPS vortex equation studied in [17] ("Bradlow vortices") may have solutions only if the volume of the manifold is equal to the Bradlow volume, so that the "Bradlow bound" is converted into a "Bradlow equation" (for more on this model see [19]). …”

Section: The Bradlow Bound-abelian-higgs Vorticesmentioning

confidence: 99%

Volume of a vortex and the Bradlow bound

2017

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We demonstrate that the geometric volume of a soliton coincides with the thermodynamical volume also for field theories with higher-dimensional vacuum manifolds (e.g., for gauged scalar field theories supporting vortices or monopoles), generalizing the recent results of Ref. [C. Adam, M. Haberichter, and A. Wereszczynski, Phys. Lett. B 754, 18 (2016).]. We apply this observation to understand Bradlowtype bounds for general Abelian gauge theories supporting vortices, as well as some thermodynamical aspects of said theories. In the case of SDiff Bogomolny-Prasad-Sommerfield (BPS) models (being examples of perfect fluid models) we show that the base-space independent geometric volume (area) of the vortex is exactly equal to the Bradlow volume (a minimal volume for which BPS soliton solutions exist). This volume can be finite for compactons or infinite for infinitely extended solitons (in flat Minkowski space-time).

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“…The minimal construction of Ref. [28] limits the terms such that there are no powers of a derivative in the i-th direction higher than four. This leaves us with two independent terms, as we will see and the coefficients in Ref.…”

Section: The 2 + 4 + 8 Modelmentioning

confidence: 99%

“…In particular, in Ref. [28] we showed that although the latter construction gives stable radial equations of motion, the angular directions contain instabilities which can be triggered by a baby-Skyrme string in the baryon number 0 sector. For a BH hair configuration it is even worse, as the expansion of the Einstein equation yields a first derivative of the profile function at the horizon which 1 The name may suggest that the model can easily be supersymmetrized, but that is not the case due to the target space being non-Kähler and odd dimensional.…”

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confidence: 98%

Higher-order Skyrme hair of black holes

Gudnason¹,

Nitta²

2018

J. High Energ. Phys.

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Higher-order derivative terms are considered as replacement for the Skyrme term in an Einstein-Skyrme-like model in order to pinpoint which properties are necessary for a black hole to possess stable static scalar hair. We find two new models able to support stable black hole hair in the limit of the Skyrme term being turned off. They contain 8 and 12 derivatives, respectively, and are roughly the Skyrme-term squared and the so-called BPS-Skyrme-term squared. In the twelfth-order model we find that the lower branches, which are normally unstable, become stable in the limit where the Skyrme term is turned off. We check this claim with a linear stability analysis. Finally, we find for a certain range of the gravitational coupling and horizon radius, that the twelfth-order model contains 4 solutions as opposed to 2. More surprisingly, the lowest part of the would-be unstable branch turns out to be the stable one of the 4 solutions.

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A higher-order Skyrme model

Cited by 21 publications

References 52 publications

Skyrmions, Skyrme stars and black holes with Skyrme hair in five spacetime dimension

Skyrmions, Skyrme stars and black holes with Skyrme hair in five spacetime dimension

Volume of a vortex and the Bradlow bound

Higher-order Skyrme hair of black holes

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