The Gregory–Laflamme instability of the Schwarzschild black string exterior
The Gregory–Laflamme instability of the Schwarzschild black string exterior
In this paper, a direct rigorous mathematical proof of the Gregory–Laflamme instability for the five-dimensional Schwarzschild black string is presented. Under a choice of ansatz for the perturbation and a gauge choice, the linearized vacuum Einstein equation reduces to an ordinary differential equation (ODE) problem for a single function. In …