About: Hairy black holes: Stability under odd-parity perturbations and existence of slowly rotating solutions     Goto   Sponge   NotDistinct   Permalink

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Description
  • We show that, independently of the scalar field potential and of specific asymptotic properties of the spacetime (asymptotically flat, de Sitter or anti-de Sitter), any static, spherically symmetric or planar, black hole solution of the Einstein theory minimally coupled to a real scalar field with a general potential is mode stable under linear odd-parity perturbations. To this end, we generalize the Regge-Wheeler equation for a generic self-interacting scalar field, and show that the potential of the relevant Schrödinger operator can be mapped, by the so-called S-deformation, to a semipositively defined potential. With these results at hand we study the existence of slowly rotating configurations. The frame dragging effect is compared with the corresponding effect in the case of a Kerr black hole.
  • We show that, independently of the scalar field potential and of specific asymptotic properties of the spacetime (asymptotically flat, de Sitter or anti-de Sitter), any static, spherically symmetric or planar, black hole solution of the Einstein theory minimally coupled to a real scalar field with a general potential is mode stable under linear odd-parity perturbations. To this end, we generalize the Regge-Wheeler equation for a generic self-interacting scalar field, and show that the potential of the relevant Schrödinger operator can be mapped, by the so-called S-deformation, to a semipositively defined potential. With these results at hand we study the existence of slowly rotating configurations. The frame dragging effect is compared with the corresponding effect in the case of a Kerr black hole. (en)
Title
  • Hairy black holes: Stability under odd-parity perturbations and existence of slowly rotating solutions
  • Hairy black holes: Stability under odd-parity perturbations and existence of slowly rotating solutions (en)
skos:prefLabel
  • Hairy black holes: Stability under odd-parity perturbations and existence of slowly rotating solutions
  • Hairy black holes: Stability under odd-parity perturbations and existence of slowly rotating solutions (en)
skos:notation
  • RIV/00216208:11320/14:10291171!RIV15-MSM-11320___
http://linked.open...avai/riv/aktivita
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  • I, P(GB14-37086G)
http://linked.open...iv/cisloPeriodika
  • 12
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  • 18729
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  • RIV/00216208:11320/14:10291171
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  • Regge-Wheeler equation; black holes: spacetime (en)
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  • US - Spojené státy americké
http://linked.open...ontrolniKodProRIV
  • [D8A19EDAAC5A]
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  • Physical Review D - Particles, Fields, Gravitation and Cosmology
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http://linked.open...v/svazekPeriodika
  • 90
http://linked.open...iv/tvurceVysledku
  • Bičák, Jiří
  • Anabalón, Andrés
  • Saavedra, Joel
issn
  • 1550-7998
number of pages
http://bibframe.org/vocab/doi
  • 10.1103/PhysRevD.90.124055
http://localhost/t...ganizacniJednotka
  • 11320
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