View source for Physics:Gregory–Laflamme instability

The '''Gregory–Laflamme instability''' (after Ruth Gregory and [[Biography:Raymond Laflamme|Raymond Laflamme]]) is a result in [[Physics:Theoretical physics|theoretical physics]] which states that certain [[Astronomy:Black string|black string]]s and [[Physics:Brane|brane]]s are unstable in dimensions higher than four.<ref name="arXiv-1107.5821">{{Cite arXiv | eprint=1107.5821  | author1=Ruth Gregory | title=The Gregory-Laflamme instability | class=gr-qc | date=2011 }}</ref>
In their seminal papers in 1993 and 1994, Gregory and Laflamme showed that certain branes and [[Physics:Higher-dimensional Einstein gravity|Higher-dimensional Einstein gravity]] black string solutions in theories of [[Physics:Gravity|gravity]] in higher dimensions <math>D \ge 5 </math> are found to exhibit an instability to small perturbations.<ref name="arXiv-9301052">{{Cite journal | arxiv=hep-th/9301052  | author1=Ruth Gregory | author2 = Raymond Laflamme | title=Black Strings and p-Branes are Unstable | date=1993 | doi=10.1103/PhysRevLett.70.2837 | volume=70 | journal=Physical Review Letters | issue=19 | pages=2837–2840 | pmid=10053666 | bibcode=1993PhRvL..70.2837G| s2cid=118877812 }}</ref><ref name="arXiv-9404071">{{Cite journal | arxiv=hep-th/9404071  | author1=Ruth Gregory  |author2= Raymond Laflamme | title=The Instability of Charged Black Strings and p-Branes | date=1994 | doi=10.1016/0550-3213(94)90206-2 | volume=428 | journal=Nuclear Physics B | issue=1–2 | pages=399–434| bibcode=1994NuPhB.428..399G| s2cid=118870476 }}</ref><ref name="arXiv-0701022">{{Cite journal | arxiv=hep-th/0701022  | author1=Troels Harmark |author2= Vasilis Niarchos | author3= Niels A. Obers | title=Instabilities of Black Strings and Branes | date=2007 | doi=10.1088/0264-9381/24/8/R01 | volume=24 | journal=Classical and Quantum Gravity | issue=8 | pages=R1–R90| bibcode=2007CQGra..24R...1H | s2cid=119455274 }}</ref>

The end point of this instability has been studied to higher dimensions and a [[Physics:Critical dimension|critical dimension]] has been found to exist below which the end state of instability is a black hole phase, i.e., for <math>5 \le D \le 13</math>.  Above the critical dimension the instability drives to a non-uniform black ring phase.<ref name="arXiv-0411240">{{Cite journal | arxiv=hep-th/0411240  | author1=Barak Kol | title=The Phase Transition between Caged Black Holes and Black Strings - A Review | year=2006 | doi=10.1016/j.physrep.2005.10.001 | volume=422 | journal=Physics Reports | issue=4 | pages=119–165| bibcode=2006PhR...422..119K | s2cid=8270306 }}</ref><ref name="arXiv-1106.5184">{{Cite arXiv | eprint=1106.5184  | author1=Luis Lehner |author2= Frans Pretorius | title=Final State of Gregory-Laflamme Instability | class=gr-qc | date=2011 }}</ref>

==References==
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[[Category:Gravity]]



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