Physics:Gregory–Laflamme instability
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 [math]\displaystyle{ D \ge 5 }[/math] 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 [math]\displaystyle{ 5 \le D \le 13 }[/math]. Above the critical dimension the instability drives to a non-uniform black ring phase.[5][6]
References
- ↑ Ruth Gregory (2011). "The Gregory-Laflamme instability". arXiv:1107.5821 [gr-qc].
- ↑ Ruth Gregory; Raymond Laflamme (1993). "Black Strings and p-Branes are Unstable". Physical Review Letters 70 (19): 2837–2840. doi:10.1103/PhysRevLett.70.2837. PMID 10053666. Bibcode: 1993PhRvL..70.2837G.
- ↑ Ruth Gregory; Raymond Laflamme (1994). "The Instability of Charged Black Strings and p-Branes". Nuclear Physics B 428 (1–2): 399–434. doi:10.1016/0550-3213(94)90206-2. Bibcode: 1994NuPhB.428..399G.
- ↑ Troels Harmark; Vasilis Niarchos; Niels A. Obers (2007). "Instabilities of Black Strings and Branes". Classical and Quantum Gravity 24 (8): R1–R90. doi:10.1088/0264-9381/24/8/R01. Bibcode: 2007CQGra..24R...1H.
- ↑ Barak Kol (2006). "The Phase Transition between Caged Black Holes and Black Strings - A Review". Physics Reports 422 (4): 119–165. doi:10.1016/j.physrep.2005.10.001. Bibcode: 2006PhR...422..119K.
- ↑ Luis Lehner; Frans Pretorius (2011). "Final State of Gregory-Laflamme Instability". arXiv:1106.5184 [gr-qc].
 |  |
