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

Journal Article · Tue Jun 15 04:00:00 EDT 2010 · Physical Review. D, Particles Fields

DOI:https://doi.org/10.1103/PHYSREVD.81.124020· OSTI ID:21408078

Maeda, Kengo; Fujii, Shunsuke; Koga, Jun-ichirou ^[1]

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1. Faculty of Engineering, Shibaura Institute of Technology, Saitama, 330-8570 (Japan)

We investigate instability of four-dimensional Reissner-Nordstroem-anti-de Sitter (RN-AdS{sub 4}) black holes with various topologies by charged scalar field perturbations. We numerically find that the RN-AdS{sub 4} 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-AdS{sub 4} 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-AdS{sub 4} black hole.

• OSTI ID: 21408078
• Journal Information: Physical Review. D, Particles Fields, Journal Name: Physical Review. D, Particles Fields Journal Issue: 12 Vol. 81; ISSN PRVDAQ; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
ANTI DE SITTER SPACE
BLACK HOLES
CRITICAL TEMPERATURE
DISTURBANCES
ENTROPY
EXTRACTION
FOUR-DIMENSIONAL CALCULATIONS
INSTABILITY
MATHEMATICAL SOLUTIONS
MATHEMATICAL SPACE
MATHEMATICS
PERTURBATION THEORY
PHYSICAL PROPERTIES
SCALAR FIELDS
SEPARATION PROCESSES
SPACE
THERMODYNAMIC PROPERTIES
TOPOLOGY
TRANSITION TEMPERATURE