Dynamic and Thermodynamic Stability and Negative Modes in Schwarzschild-Anti-de Sitter

Details Dynamic and Thermodynamic Stability and Negative Modes in Schwarzschild-Anti-de Sitter Dynamic and Thermodynamic Stability and Negative Modes in Schwarzschild-Anti-de Sitter

1999-07-20

arxiv.org/abs/hep-th/9907163v1

Phys.Rev. D61 (2000) 084002

Physics

High Energy Physics

High Energy Physics - Theory

21 pages, 5 figures, LaTeX

Scientific paper

10.1103/PhysRevD.61.084002

The thermodynamic properties of Schwarzschild-anti-de Sitter black holes confined within finite isothermal cavities are examined. In contrast to the Schwarzschild case, the infinite cavity limit may be taken which, if suitably stated, remains double valued. This allows the correspondence between non-existence of negative modes for classical solutions and local thermodynamic stability of the equilibrium configuration of such solutions to be shown in a well defined manner. This is not possible in the asymptotically flat case. Furthermore, the non-existence of negative modes for the larger black hole solution in Schwarzschild-anti-de Sitter provides strong evidence in favour of the recent positive energy conjecture by Horowitz and Myers.

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