Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2001-04-09
Phys.Rev. D64 (2001) 044005
Physics
High Energy Physics
High Energy Physics - Theory
21 pages, LaTeX. v2: Various points clarified, typos corrected and reference added
Scientific paper
10.1103/PhysRevD.64.044005
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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