No-dipole-hair theorem for higher-dimensional static black holes
arXiv:1007.3847 · doi:10.1103/PhysRevD.82.084032
Abstract
We prove that static black holes in n-dimensional asymptotically flat spacetime cannot support non-trivial electric p-form field strengths when (n+1)/2<= p <= n-1. This implies in particular that static black holes cannot possess dipole hair under these fields.
5 pages; minor changes, typos corrected, reference added, accepted for publication in PRD