Hairy black holes: Stability under odd-parity perturbations and existence of slowly rotating solutions
Anabalon
A
author
Bicak
J
author
Saavedra
J
author
2014
English
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 Schrodinger 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.
WOS:000349414800003
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text
http://ficpubs.uai.cl/files/425_Anabalon_etal2014.pdf
10.1103/PhysRevD.90.124055
Anabalon_etal2014
Physical Review D
Phys. Rev. D
2014
Amer Physical Soc
continuing
periodical
academic journal
90
12
6 pp
1550-7998