Abelian Higgs hair for rotating and charged black holes

Ghezelbash, A. M.; Mann, Robert B.

doi:10.1103/physrevd.65.124022

Cited by 22 publications

(28 citation statements)

References 14 publications

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“…Now, by using the relaxation method [18] for the above finite difference equations (17) and (18) Refs. [4] and [7]- [14], increasing the winding number yields a greater vortex thickness. The black string horizon is located at r H = 0.6173 for Figs.…”

Section: Numerical Solutionsmentioning

confidence: 99%

Abelian Higgs hair for a static charged black string

2002

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We study the problem of vortex solutions in the background of an electrically charged black string. We show numerically that the Abelian Higgs field equations in the background of a four-dimensional black string have vortex solutions. These solutions which have axial symmetry show that the black string can support the Abelian Higgs field as hair. This situation holds also in the case of the extremal black string. We also consider the self-gravity of the Abelian Higgs field and show that the effect of the vortex is to induce a deficit angle in the metric under consideration.

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Section: Numerical Solutionsmentioning

confidence: 99%

Abelian Higgs hair for a static charged black string

2002

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“…The first attempts to attack this problem were presented in Ref. [27], but the correct treatment of a Kerr black hole Abelian Higgs vortex was presented in [28].…”

Section: Introductionmentioning

confidence: 99%

Abelian-Higgs hair on a stationary axisymmetric black hole in Einstein-Maxwell-axion-dilaton gravity

Nakonieczny

Rogatko

2013

Phys. Rev. D

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We study, both analytically and numerically, an Abelian Higgs vortex in the spacetime of a stationary axisymmetric black hole being the solution of the low-energy limit of the heterotic string theory, acting as hair on the black hole background. Taking into account the gravitational backreaction of the vortex, we show that its influence is far more subtle than causing only a conical defect. As a consequence of its existence, we find that the ergosphere is shifted, and the event horizon angular velocity is affected by its presence. Numerical simulations reveal the strong dependence of the vortex behavior on the black hole charge and mass of the Higgs boson. For large masses of the Higgs boson and large values of the charge, the black hole is always pierced by an Abelian Higgs vortex, while small values of the charge and Higgs boson mass lead to the expulsion of the Higgs field.

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“…It describes a thin cosmic string passing through a Schwarzschild black hole. It was revealed that it constituted the limit of a much more realistic situation when a black hole was pierced by a Nielsen-Olesen vortex [48][49][50][51][52][53][54][55]. In the extremal limit of the black hole under consideration a completely new phenomenon occurred.…”

Section: Discussionmentioning

confidence: 99%

Evolution of massive scalar fields in the spacetime of a tense brane black hole

Rogatko

Szypłowska

2008

Gen Relativ Gravit

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In the spacetime of a d-dimensional static tense brane black hole we elaborate the mechanism by which massive scalar fields decay. The metric of a six-dimensional black hole pierced by a topological defect is especially interesting. It corresponds to a black hole residing on a tensional 3-brane embedded in a six-dimensional spacetime, and this solution has gained importance due to the planned accelerator experiments. It happened that the intermediate asymptotic behaviour of the fields in question was determined by an oscillatory inverse power-law. We confirm our investigations by numerical calculations for five-and six-dimensional cases. It turned out that the greater the brane tension is, the faster massive scalar field decay in the considered spacetimes.

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Abelian Higgs hair for rotating and charged black holes

Cited by 22 publications

References 14 publications

Abelian Higgs hair for a static charged black string

Abelian Higgs hair for a static charged black string

Abelian-Higgs hair on a stationary axisymmetric black hole in Einstein-Maxwell-axion-dilaton gravity

Evolution of massive scalar fields in the spacetime of a tense brane black hole

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