Rotating boson stars in five dimensions

Hartmann, Betti; Kleihaus, Burkhard; Kunz, Jutta; List, Meike

doi:10.1103/physrevd.82.084022

Cited by 57 publications

(103 citation statements)

References 48 publications

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“…A remarkable feature of the ansatz (2.16), first suggested in [49], albeit for a complex doublet rather than a Skyrme field, is that for any geometry in this work the angular dependence is factorized in a consistent way, and the Skyrme equations (2.3) reduce to a single ODE for the function F (r).…”

Section: A Codimension-1 Skyrme Field Ansatzmentioning

confidence: 86%

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: A Codimension-1 Skyrme Field Ansatzmentioning

confidence: 86%

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 variation of D has been typically less than 10 −9 . For the self-interaction potential U (φ) we have chosen the parameters λ = 1, c = 2 and b = 1.1, since this allowed us to compare with previous calculations of bosonic configurations without a wormhole [25]. With these potential parameters fixed, the further parameters were the parameter κ, which includes the gravitational coupling strength, the boson frequency ω s , and the throat parameter η 0 .…”

Section: Wormholes Immersed In Bosonic Mattermentioning

confidence: 99%

“…The minimal frequency ω min is based on an argument to allow for localized solutions [17,19,25,26] and given by…”

Section: Parametersmentioning

confidence: 99%

Spontaneous symmetry breaking in wormholes spacetimes with matter

et al. 2017

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When bosonic matter in the form of a complex scalar field is added to Ellis wormholes, the phenomenon of spontaneous symmetry breaking is observed. Symmetric solutions possess full reflection symmetry with respect to the radial coordinate of the two asymptotically flat spacetime regions connected by the wormhole, whereas asymmetric solutions do not possess this symmetry. Depending on the size of the throat, at bifurcation points pairs of asymmetric solutions arise from or merge with the symmetric solutions. These asymmetric solutions are energetically favoured. When the backreaction of the boson field is taken into account, this phenomenon is retained. Moreover, in a certain region of the solution space both symmetric and asymmetric solutions exhibit a transition from single throat to double throat configurations.

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“…One can however restrict oneself to the case of equal angular momenta. Boson stars possessing two equal angular momentum can be constructed in the above theory, by using an appropriate anzatz for the metric and the scalar field [17]. Interestingly, this ansatz leads to a system of differential equations.…”

Section: The Ansatzmentioning

confidence: 99%

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

Brihaye

Ducobu

2016

Int. J. Mod. Phys. D

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The Einstein-Gauss-Bonnet gravity in five dimensions is extended by scalar fields and the corresponding equations are reduced to a system of non-linear differential equations. A large family of regular solutions of these equations is shown to exist. Generically, these solutions are spinning black holes with scalar hairs. They can be characterized (but not uniquely) by an horizon and an angular velocity on this horizon. Taking particular limits the black holes approach boson star or become extremal, in any case the limiting configurations remain hairy.

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Rotating boson stars in five dimensions

Cited by 57 publications

References 48 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

Spontaneous symmetry breaking in wormholes spacetimes with matter

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

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