TOPICAL REVIEW: Instabilities of black strings and branes
Abstract
We review recent progress on the instabilities of black strings and branes both for pure Einstein gravity as well as supergravity theories which are relevant for string theory. We focus mainly on Gregory Laflamme instabilities. In the first part of the review, we provide a detailed discussion of the classical gravitational instability of the neutral uniform black string in higherdimensional gravity. The uniform black string is part of a larger phase diagram of Kaluza Klein black holes which will be discussed thoroughly. This phase diagram exhibits many interesting features including new phases, nonuniqueness and horizontopology changing transitions. In the second part, we turn to charged black branes in supergravity and show how the Gregory Laflamme instability of the neutral black string implies via a boost/Uduality map similar instabilities for non and nearextremal smeared branes in string theory. We also comment on instabilities of Dbrane bound states. The connection between classical and thermodynamic stability, known as the correlated stability conjecture, is also reviewed and illustrated with examples. Finally, we examine the holographic implications of the Gregory Laflamme instability for a number of nongravitational theories including Yang Mills theories and little string theory.
 Publication:

Classical and Quantum Gravity
 Pub Date:
 April 2007
 DOI:
 10.1088/02649381/24/8/R01
 arXiv:
 arXiv:hepth/0701022
 Bibcode:
 2007CQGra..24R...1H
 Keywords:

 High Energy Physics  Theory;
 General Relativity and Quantum Cosmology
 EPrint:
 119 pages, 16 figures. Invited review for Classical and Quantum Gravity