Gregory–Laflamme instability explained

The Gregory–Laflamme instability (after Ruth Gregory and Raymond Laflamme) is a result in theoretical physics which states that certain black strings and branes are unstable in dimensions higher than four.^[1]

In their seminal papers in 1993 and 1994, Gregory and Laflamme showed that certain branes and Higher-dimensional Einstein gravity black string solutions in theories of gravity in higher dimensions

D \ge 5 are found to exhibit an instability to small perturbations.^{[2] [3] [4]}

The end point of this instability has been studied to higher dimensions and a critical dimension has been found to exist below which the end state of instability is a black hole phase, i.e., for

5 \le D \le 13 . Above the critical dimension the instability drives to a non-uniform black ring phase.^{[5] [6]}

Notes and References

1. 1107.5821 . Ruth Gregory . The Gregory-Laflamme instability . gr-qc . 2011 .
2. hep-th/9301052 . Ruth Gregory . Raymond Laflamme . Black Strings and p-Branes are Unstable . 1993 . 10.1103/PhysRevLett.70.2837 . 70 . Physical Review Letters . 19 . 2837–2840 . 10053666 . 1993PhRvL..70.2837G. 118877812 .
3. hep-th/9404071 . Ruth Gregory . Raymond Laflamme . The Instability of Charged Black Strings and p-Branes . 1994 . 10.1016/0550-3213(94)90206-2 . 428 . Nuclear Physics B . 1–2 . 399–434. 1994NuPhB.428..399G. 118870476 .
4. hep-th/0701022 . Troels Harmark . Vasilis Niarchos . Niels A. Obers . Instabilities of Black Strings and Branes . 2007 . 10.1088/0264-9381/24/8/R01 . 24 . Classical and Quantum Gravity . 8 . R1–R90. 2007CQGra..24R...1H . 119455274 .
5. hep-th/0411240 . Barak Kol . The Phase Transition between Caged Black Holes and Black Strings - A Review . 2006 . 10.1016/j.physrep.2005.10.001 . 422 . Physics Reports . 4 . 119–165. 2006PhR...422..119K . 8270306 .
6. 1106.5184 . Luis Lehner . Frans Pretorius . Final State of Gregory-Laflamme Instability . gr-qc . 2011 .