The Gregory-Laflamme instability for the D2-D0 bound state
arXiv:hep-th/0411257 · doi:10.1088/1126-6708/2005/02/040
Abstract
The D2-D0 bound state exhibits a Gregory-Laflamme instability when it is sufficiently non-extremal. If there are no D0-branes, the requisite non-extremality is finite. When most of the extremal mass comes from D0-branes, the requisite non-extremality is very small. The location of the threshhold for the instability is determined using a local thermodynamic analysis which is then checked against a numerical analysis of the linearized equations of motion. The thermodynamic analysis reveals an instability of non-commutative field theory at finite temperature, which may occur only at very long wavelengths as the decoupling limit is approached.
19 pages, Latex2e. v2: two refs added. v3: clearer exposition in section 4