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Published May 22, 2003 | public
Journal Article Open

Universality classes for horizon instabilities

Abstract

We introduce a notion of universality classes for the Gregory-Laflamme instability and determine, in the supergravity approximation, the stability of a variety of solutions, including the non-extremal D3-brane, M2-brane, and M5-brane. These three non-dilatonic branes cross over from instability to stability at a certain non-extremal mass. Numerical analysis suggests that the wavelength of the shortest unstable mode diverges as one approaches the cross-over point from above, with a simple critical exponent which is the same in all three cases.

Additional Information

© Institute of Physics and IOP Publishing Limited 2003. Received 4 February 2003, accepted for publication 6 May 2003. Published 22 May 2003. We thank A. Brandhuber, A. Erickcek, Y. Li, Y.-T. Liu, and C. Nunez for useful discussions. The work of S.S.G. is supported in part by the Department of Energy under Grant No. DE-FG02-91ER40671. The work of A.O. is supported in part by the Department of Energy under Grant No. DE-FG03-92ER40701.

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August 22, 2023
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