Maths HEP Lunchtime Seminars: On the stability of higher-dimensional static black holes and naked singularities.
15 October 2004 00:00 in CM221
"I discuss the stability/instability of black holes and naked singularities in static, electro-vacuum spacetimes of an arbitrary number of spacetime dimensions. First I provide a master equation for gravitational perturbations of black holes in higher dimensional static spacetimes. Then I will show that a class of higher-dimensional static, electro-vacuum black holes are stable. Using a similar method, I also examine the behaviour of gravitational perturbations in nakedly singular negative mass Schwarzschild spacetime. There is a one parameter family of possible boundary conditions at the singularity. I give a precise criterion for stability depending on the boundary condition. I also show that one particular boundary condition is physically preferred and the spacetime is stable with this boundary condition. This talk will be based on works hep-th/0409307, /0308128, /0305185, /0305147 "