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Gregory–Laflamme instability
Black String solutions in theories of gravity in higher dimensions \( D \ge 5 \) are found to exhibit an instability to small perturbations. This was first discovered by Gregory and Laflamme in 1993.[1] It is very interesting to know the end point of this instability, particularly whether it leads to a phase transition forming a black hole. This 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.[2]
References
http://arxiv.org/abs/hep-th/9301052
http://arxiv.org/abs/hep-th/0411240
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