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Stability and the negative mode for Schwarzschild in a finite cavity
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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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Canonical ensemble of a $d$-dimensional Reissner-Nordstr\"om black hole in a cavity
A d-dimensional Reissner-Nordström black hole in a finite cavity has three equilibrium states below a critical charge and one above, and the two stable states undergo a first-order transition that becomes second-order...
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