Uniqueness and nonuniqueness of static black holes in higher dimensions.
We prove a uniqueness theorem for asymptotically flat static charged dilaton black-hole solutions in higher-dimensional space-times. We also construct infinitely many nonasymptotically flat regular static black holes on the same space-time manifold with the same spherical topology. An application to the uniqueness of a class of flat p-branes is also given.
Gibbons
Gary W
GW
DAMTP, Centre for Mathematical Sciences, The University of Cambridge, Wilberforce Road, Cambridge CB3 0WA, United Kingdom.
Ida
Daisuke
D
Shiromizu
Tetsuya
T