### Abstract

The D2-DO bound state exhibits a Gregory-Laflamme instability when it is sufficiently non-extremal. If there are no DO-branes, the requisite non-extremality is finite. When most of the extremal mass comes from DO-branes, the requisite non-extremality is very small. The location of the threshold 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.

Original language | English (US) |
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Pages (from-to) | 1033-1051 |

Number of pages | 19 |

Journal | Journal of High Energy Physics |

Issue number | 2 |

State | Published - Feb 1 2005 |

### All Science Journal Classification (ASJC) codes

- Nuclear and High Energy Physics

### Keywords

- Black Holes
- Classical Theories of Gravity
- D-branes
- Non-Commutative Geometry

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## Cite this

Gubser, S. S. (2005). The Gregory-Laflamme instability for the D2-DO bound state.

*Journal of High Energy Physics*, (2), 1033-1051.