The Gregory-Laflamme instability for the D2-D0 bound state

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

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Cited by in corpus (14)

• The Phase Transition between Caged Black Holes and Black Strings - A Review
• Instabilities of Black Strings and Branes
• Black Rings, Boosted Strings and Gregory-Laflamme
• Instabilities of Near-Extremal Smeared Branes and the Correlated Stability Conjecture
• On non-uniform smeared black branes
• New stable phase of non-uniform charged black strings
• New Phases of Thermal SYM and LST from Kaluza-Klein Black Holes
• Graviton Propagators in Supergravity and Noncommutative Gauge Theory
• Three-Charge Black Holes on a Circle
• Instabilities of D-brane Bound States and Their Related Theories
• Negative modes of Schwarzschild black hole in Einstein-Gauss-Bonnet Theory
• Emergence of the fuzzy horizon through gravitational collapse
• Negative mode of Schwarzschild black hole from the thermodynamic instability
• Analytic evidence for the Gubser-Mitra conjecture