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arxiv: hep-th/0104071 · v2 · submitted 2001-04-09 · ✦ hep-th · gr-qc

Classical and Thermodynamic Stability of Black Branes

classification ✦ hep-th gr-qc
keywords blackbranesinstabilityextremalitygregory-laflammeclassicalnearanalysis
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It is argued that many non-extremal black branes exhibit a classical Gregory-Laflamme instability if, and only if, they are locally thermodynamically unstable. For some black branes, the Gregory-Laflamme instability must therefore disappear near extremality. For the black $p$-branes of the type II supergravity theories, the Gregory-Laflamme instability disappears near extremality for $p=1,2,4$ but persists all the way down to extremality for $p=5,6$ (the black D3-brane is not covered by the analysis of this paper). This implies that the instability also vanishes for the near-extremal black M2 and M5-brane solutions.

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