Toward the no-scalar-hair conjecture in asymptotically de Sitter spacetime

Takashi Torii, Kengo Maeda, Makoto Narita

Research output: Contribution to journalArticle

43 Citations (Scopus)

Abstract

We discuss the no-hair conjecture in the presence of a cosmological constant. For the first step the real scalar field is considered as the matter field and the spacetime is assumed to be static spherically symmetric. If the scalar field is massless or has a convex potential such as a mass term, it is proved that there is no regular black hole solution. For a general positive potential, we search for black hole solutions which support the scalar field with a double well potential, and find them by numerical calculations. The existence of such solutions depends on the values of the vacuum expectation value and the self-coupling constant of the scalar field. When we take the zero horizon radius limit, the solution becomes a boson star like solution which we found before. However new solutions are found to be unstable against the linear perturbation. As a result we can conclude that the no-scalar-hair conjecture holds in the case of scalar fields with a convex or double well potential.

Original languageEnglish
Pages (from-to)1-8
Number of pages8
JournalPhysical Review D - Particles, Fields, Gravitation and Cosmology
Volume59
Issue number6
Publication statusPublished - 1999 Mar 15
Externally publishedYes

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hair
scalars
horizon
bosons
stars
perturbation
vacuum
radii

ASJC Scopus subject areas

  • Mathematical Physics
  • Physics and Astronomy(all)
  • Nuclear and High Energy Physics
  • Physics and Astronomy (miscellaneous)

Cite this

Toward the no-scalar-hair conjecture in asymptotically de Sitter spacetime. / Torii, Takashi; Maeda, Kengo; Narita, Makoto.

In: Physical Review D - Particles, Fields, Gravitation and Cosmology, Vol. 59, No. 6, 15.03.1999, p. 1-8.

Research output: Contribution to journalArticle

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