Scalar hair on the black hole in asymptotically anti-de Sitter spacetime

Takashi Torii, Kengo Maeda, Makoto Narita

研究成果: Article査読

102 被引用数 (Scopus)


We examine the no-hair conjecture in asymptotically anti-de Sitter (AdS) spacetime. First, we consider a real scalar field as the matter field and assume static spherically symmetric spacetime. Analysis of the asymptotics shows that the scalar field must approach the extremum of its potential. Using this fact, it is proved that there is no regular black hole solution when the scalar field is massless or has a "convex" potential. Surprisingly, while the scalar field has a growing mode around the local minimum of the potential, there is no growing mode around the local maximum. This implies that the local maximum is a kind of "attractor" of the asymptotic scalar field. We give two examples of the new black hole solutions with a nontrivial scalar field configuration numerically in the symmetric or asymmetric double well potential models. We study the stability of these solutions by using the linear perturbation method in order to examine whether or not the scalar hair is physical. In the symmetric double well potential model, we find that the potential function of the perturbation equation is positive semidefinite in some wide parameter range and that the new solution is stable. This implies that the black hole no-hair conjecture is violated in asymptotically AdS spacetime.

ジャーナルPhysical Review D
出版ステータスPublished - 2001

ASJC Scopus subject areas

  • 物理学および天文学(その他)


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