Instability of higher dimensional charged black holes in the de-Sitter world
Abstract
We have shown that higher dimensional Reissner-Nordstr\"om-de Sitter black holes are gravitationally unstable for large values of the electric charge and cosmological constant in D ≥ 7 space-time dimensions. We have found the shape of the slightly perturbed black hole at the threshold point of instability. Why only D=4, 5 and 6 dimensional worlds are favorable as to the black stability remains unknown.
0