No-go on strictly stationary spacetimes in four/higher dimensions

Shiromizu, Tetsuya; Ohashi, Seiju; Suzuki, Ryotaku

doi:10.1103/physrevd.86.064041

Cited by 33 publications

(50 citation statements)

References 30 publications

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“…It happens that strictly stationary Einstein-Maxwell spacetime with negative cosmological constant does not allow for the existence of nontrivial configurations of complex scalar fields or form fields [54]. The same situation takes place in the case of strictly stationary, simply connected Einstein-Maxwell-axion-dilaton spacetime with negative cosmological constant and arbitrary number of {/(l)-gauge fields [55].…”

Section: Introductionmentioning

confidence: 98%

Magnetic field in holographic superconductor with dark matter sector

2015

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Based on the analytical technique the effect of the static magnetic field on the s-wave holographic superconductor with dark matter sector of U(1)-gauge field type coupled to the Maxwell field has been examined. In the probe limit, we obtained the mean value of the condensation operator. The nature of the condensate in an external magnetic field as well as the behaviour of the critical field close to the transition temperature has been revealed. The obtained upturn of the critical field curves as a function of temperature, both in four and five spacetime dimensions, is a fingerprint of the strong coupling approach.Comment: 13 pages, RevTex, 2 figures, to be published in Phys.Rev.D15. arXiv admin note: text overlap with arXiv:1411.079

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Section: Introductionmentioning

confidence: 98%

Magnetic field in holographic superconductor with dark matter sector

2015

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“…In Ref. [7] it was shown that strictly stationary AdS spacetime cannot allow for the existence of nontrivial configurations of complex scalar fields or form fields. The generalization of the aforementioned problem, i.e., strict stationarity of spacetimes with complex scalar fields in Einstein-Maxwell-axion-dilaton gravity with a negative cosmological constant, was given in [8].…”

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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“…Classical results in GR established the inexistence of gravitating solitons in vacuum [26,27], electrovacuum [28], or AdS vacuum [29]. Remarkably, in AdS electrovacuum, and despite apparent obstructions [30], such solitons exist naturally. They were anticipated and constructed linearly in Ref.…”

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confidence: 99%

Static Einstein-Maxwell Black Holes with No Spatial Isometries in AdS Space

Herdeiro

Radu

2016

Phys. Rev. Lett.

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We explicitly construct static black hole solutions to the fully nonlinear, D ¼ 4, Einstein-Maxwellanti-de Sitter (AdS) equations that have no continuous spatial symmetries. These black holes have a smooth, topologically spherical horizon (section), but without isometries, and approach, asymptotically, global AdS spacetime. They are interpreted as bound states of a horizon with the Einstein-Maxwell-AdS solitons recently discovered, for appropriate boundary data. In sharp contrast to the uniqueness results for a Minkowski electrovacuum, the existence of these black holes shows that single, equilibrium, black hole solutions in an AdS electrovacuum admit an arbitrary multipole structure.

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No-go on strictly stationary spacetimes in four/higher dimensions

Cited by 33 publications

References 30 publications

Magnetic field in holographic superconductor with dark matter sector

Magnetic field in holographic superconductor with dark matter sector

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

Static Einstein-Maxwell Black Holes with No Spatial Isometries in AdS Space

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