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 black string solutions in theories of gravity in higher dimensions are found to exhibit an instability to small perturbations.[2][3][4]

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 . 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:1107.5821Freely accessible [gr-qc].
  2. ↑ Ruth Gregory; Raymond Laflamme (1993). "Black Strings and p-Branes are Unstable". arXiv:hep-th/9301052Freely accessible [hep-th].
  3. ↑ Ruth Gregory; Raymond Laflamme (1994). "The Instability of Charged Black Strings and p-Branes". arXiv:hep-th/9404071Freely accessible [hep-th].
  4. ↑ Troels Harmark; Vasilis Niarchos; Niels A. Obers (2007). "Instabilities of Black Strings and Branes". arXiv:hep-th/0701022Freely accessible [hep-th].
  5. ↑ Barak Kol (2004). "The Phase Transition between Caged Black Holes and Black Strings - A Review". arXiv:hep-th/0411240Freely accessible [hep-th].
  6. ↑ Luis Lehner; Frans Pretorius (2011). "Final State of Gregory-Laflamme Instability". arXiv:1106.5184Freely accessible [gr-qc].


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