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Smeared branes and the Gubser-Mitra conjecture

Paul Bostock·Simon F. Ross
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Abstract

We show that smeared brane solutions, where a charged black p-brane is smeared uniformly over one of the transverse directions, can have a Gregory-Laflamme type dynamical instability in the smeared direction even when the solution is locally thermodynamically stable. These thus provide counterexamples to the Gubser-Mitra conjecture, which links local dynamical and thermodynamic stability. The existence of a dynamical instability is demonstrated by exploiting an ansatz due to Harmark and Obers, which relates charged solutions to neutral ones.

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Paul Bostock, Simon F. Ross. 2004-05-04. Smeared branes and the Gubser-Mitra conjecture. https://doi.org/10.1103/physrevd.70.064014

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