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

Kengo Maeda, Shunsuke Fujii, Jun Ichirou Koga

研究成果: Article査読

15 被引用数 (Scopus)

抄録

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.

本文言語English
論文番号124020
ジャーナルPhysical Review D - Particles, Fields, Gravitation and Cosmology
81
12
DOI
出版ステータスPublished - 2010 6 8

ASJC Scopus subject areas

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

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