Gravitational instability in higher dimensions
Gravitational instability in higher dimensions
We explore a classical instability of spacetimes of dimension $D>4.$ First, we consider static solutions: generalized black holes and brane world metrics. The dangerous mode is a tensor mode on an Einstein base manifold of dimension $D\ensuremath{-}2.$ A criterion for instability is found for the generalized Schwarzschild, AdS-Schwarzschild and topological …