Final fate of instability of Reissner-Nordström-anti-de Sitter black holes by charged complex scalar fields

Kengo Maeda, Shunsuke Fujii, Jun Ichirou Koga

Research output: Contribution to journalArticle

14 Citations (Scopus)

Abstract

We investigate instability of four-dimensional Reissner-Nordström- anti-de Sitter (RN-AdS4) black holes with various topologies by charged scalar field perturbations. We numerically find that the RN-AdS4 black holes become unstable against the linear perturbations below a critical temperature. It is analytically shown that charge extraction from the black holes occurs during the unstable evolution. To explore the end state of the instability, we perturbatively construct static black hole solutions with the scalar hair near the critical temperature. It is numerically found that the entropy of the hairy black hole is always larger than the one of the unstable RN-AdS4 black hole in the microcanonical ensemble. Our results support the speculation that the black hole with charged scalar hair always appears as the final fate of the instability of the RN-AdS4 black hole.

Original languageEnglish
Article number124020
JournalPhysical Review D - Particles, Fields, Gravitation and Cosmology
Volume81
Issue number12
DOIs
Publication statusPublished - 2010 Jun 8

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scalars
hair
critical temperature
perturbation
topology
entropy

ASJC Scopus subject areas

  • Nuclear and High Energy Physics

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Final fate of instability of Reissner-Nordström-anti-de Sitter black holes by charged complex scalar fields. / Maeda, Kengo; Fujii, Shunsuke; Koga, Jun Ichirou.

In: Physical Review D - Particles, Fields, Gravitation and Cosmology, Vol. 81, No. 12, 124020, 08.06.2010.

Research output: Contribution to journalArticle

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