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arXiv · hep-th/0106220

Stability and the negative mode for Schwarzschild in a finite cavity

James P. Gregory·Simon F. Ross
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Abstract

It has been proposed that translationally-invariant black branes are classically stable if and only if they are locally thermodynamically stable. Reall has outlined a general argument to demonstrate this, and studied in detail the case of charged black p-branes in type II supergravity. We consider the application of his argument in the simplest non-trivial case, an uncharged asymptotically flat brane enclosed in a finite cylindrical cavity. In this simple context, it is possible to give a more complete argument than in the cases considered earlier, and it is therefore a particularly attractive example of the general approach.

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James P. Gregory, Simon F. Ross. 2001-09-25. Stability and the negative mode for Schwarzschild in a finite cavity. https://doi.org/10.1103/physrevd.64.124006

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