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 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 . Above the critical dimension the instability drives to a non-uniform black ring phase.[5][6]

References

  1. ↑ Ruth Gregory (2011). "The Gregory-Laflamme instability". arXiv:1107.5821 [gr-qc].
  2. ↑ Ruth Gregory; Raymond Laflamme (1993). "Black Strings and p-Branes are Unstable". Physical Review Letters. 70 (19): 2837–2840. arXiv:hep-th/9301052. Bibcode:1993PhRvL..70.2837G. doi:10.1103/PhysRevLett.70.2837. PMID 10053666. S2CID 118877812.
  3. ↑ Ruth Gregory; Raymond Laflamme (1994). "The Instability of Charged Black Strings and p-Branes". Nuclear Physics B. 428 (1–2): 399–434. arXiv:hep-th/9404071. Bibcode:1994NuPhB.428..399G. doi:10.1016/0550-3213(94)90206-2. S2CID 118870476.
  4. ↑ Troels Harmark; Vasilis Niarchos; Niels A. Obers (2007). "Instabilities of Black Strings and Branes". Classical and Quantum Gravity. 24 (8): R1–R90. arXiv:hep-th/0701022. Bibcode:2007CQGra..24R...1H. doi:10.1088/0264-9381/24/8/R01. S2CID 119455274.
  5. ↑ Barak Kol (2006). "The Phase Transition between Caged Black Holes and Black Strings - A Review". Physics Reports. 422 (4): 119–165. arXiv:hep-th/0411240. Bibcode:2006PhR...422..119K. doi:10.1016/j.physrep.2005.10.001. S2CID 8270306.
  6. ↑ Luis Lehner; Frans Pretorius (2011). "Final State of Gregory-Laflamme Instability". arXiv:1106.5184 [gr-qc].


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