Understand
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 $D \geq 7$ 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.
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