Stability and the negative mode for Schwarzschild in a finite cavity

Details Stability and the negative mode for Schwarzschild in a finite cavity Stability and the negative mode for Schwarzschild in a finite cavity

2001-06-25

arxiv.org/abs/hep-th/0106220v3

Phys.Rev. D64 (2001) 124006

Physics

High Energy Physics

High Energy Physics - Theory

12 pages, 3 figures; reference added and minor corrections

Scientific paper

10.1103/PhysRevD.64.124006

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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