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][2]

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 ${\displaystyle D\geq 5}$ are found to exhibit an instability to small perturbations.^[3][4][5]

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 ${\displaystyle 5\leq D\leq 13}$. Above the critical dimension the instability drives to a non-uniform black ring phase.^[6][7]