Higher-order Skyrme hair of black holes

Sven Bjarke Gudnason, Muneto Nitta

Research output: Contribution to journalArticle

2 Citations (Scopus)

Abstract

Higher-order derivative terms are considered as replacement for the Skyrme term in an Einstein-Skyrme-like model in order to pinpoint which properties are necessary for a black hole to possess stable static scalar hair. We find two new models able to support stable black hole hair in the limit of the Skyrme term being turned off. They contain 8 and 12 derivatives, respectively, and are roughly the Skyrme-term squared and the so-called BPS-Skyrme-term squared. In the twelfth-order model we find that the lower branches, which are normally unstable, become stable in the limit where the Skyrme term is turned off. We check this claim with a linear stability analysis. Finally, we find for a certain range of the gravitational coupling and horizon radius, that the twelfth-order model contains 4 solutions as opposed to 2. More surprisingly, the lowest part of the would-be unstable branch turns out to be the stable one of the 4 solutions.

Original languageEnglish
Article number71
JournalJournal of High Energy Physics
Volume2018
Issue number5
DOIs
Publication statusPublished - 2018 May 1

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Keywords

  • Black Holes
  • Effective Field Theories
  • Solitons Monopoles and Instantons

ASJC Scopus subject areas

  • Nuclear and High Energy Physics

Cite this

Higher-order Skyrme hair of black holes. / Gudnason, Sven Bjarke; Nitta, Muneto.

In: Journal of High Energy Physics, Vol. 2018, No. 5, 71, 01.05.2018.

Research output: Contribution to journalArticle

Gudnason, Sven Bjarke ; Nitta, Muneto. / Higher-order Skyrme hair of black holes. In: Journal of High Energy Physics. 2018 ; Vol. 2018, No. 5.
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