Semiclassical instabilities of Kerr-anti-de Sitter black holes

Journal Article · Fri Jan 15 04:00:00 EST 2010 · Physical Review. D, Particles Fields

DOI:https://doi.org/10.1103/PHYSREVD.81.024001· OSTI ID:21409065

Monteiro, R; Perry, M J; Santos, J E ^[1]

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1. DAMTP, Centre for Mathematical Sciences, University of Cambridge, Wilberforce Road, Cambridge CB3 0WA (United Kingdom)

We study the thermodynamic stability of the Kerr-anti-de Sitter black hole from the perturbative corrections to the gravitational partition function. The line of critical stability is identified by the appearance of a negative mode of the Euclidean action that renders the partition function ill defined. The eigenvalue problem, consisting of a system of three coupled partial differential equations for the metric perturbations, is solved numerically. The agreement with the standard condition of thermodynamic stability in the grand-canonical ensemble is remarkable. The results illustrate the physical significance of gravitational partition functions for rotating spacetimes beyond the instanton approximation. At a classical level, the results also imply that the Gregory-Laflamme instability of the Kerr string persists up to extremality, the range of unstable modes increasing with the angular momentum.

• OSTI ID: 21409065
• Journal Information: Physical Review. D, Particles Fields, Journal Name: Physical Review. D, Particles Fields Journal Issue: 2 Vol. 81; ISSN PRVDAQ; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
ANGULAR MOMENTUM
ANTI DE SITTER SPACE
APPROXIMATIONS
BLACK HOLES
CALCULATION METHODS
COMPOSITE MODELS
DIFFERENTIAL EQUATIONS
DISTURBANCES
EIGENVALUES
EQUATIONS
EUCLIDEAN SPACE
EXTENDED PARTICLE MODEL
FUNCTIONS
GRAVITATIONAL FIELDS
INSTABILITY
KERR FIELD
MATHEMATICAL MODELS
MATHEMATICAL SPACE
METRICS
PARTIAL DIFFERENTIAL EQUATIONS
PARTICLE MODELS
PARTITION FUNCTIONS
PERTURBATION THEORY
QUARK MODEL
RIEMANN SPACE
SEMICLASSICAL APPROXIMATION
SPACE
SPACE-TIME
STABILITY
STRING MODELS