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.

23 pages, latex2e, 4 figures

References in corpus (3)

• Static Axisymmetric Vacuum Solutions and Non-Uniform Black Strings
• From Black Strings to Black Holes
• Classical Stability of Charged Black Branes and the Gubser-Mitra Conjecture

Cited by in corpus (16)

• Instability of Ultra-Spinning Black Holes
• Instabilities of Black Strings and Branes
• Black hole-black string phase transitions in thermal 1+1-dimensional supersymmetric Yang-Mills theory on a circle
• Blackfolds in Supergravity and String Theory
• A holographic perspective on Gubser-Mitra conjecture
• Counter-examples to the correlated stability conjecture
• Smeared branes and the Gubser-Mitra conjecture
• New stable phase of non-uniform charged black strings
• Smeared D0 charge and the Gubser-Mitra conjecture
• The Gregory-Laflamme instability for the D2-D0 bound state
• Kinematical bound in asymptotically translationally invariant spacetimes
• Classical Stability of Black D3-branes
• Spatial infinity in higher dimensional spacetimes
• Casimir effect and thermodynamics of horizon instabilities
• Gravitational Instabilities of Uniform Black Strings in AdS
• Analytic evidence for the Gubser-Mitra conjecture