No-dipole-hair theorem for higher-dimensional static black holes

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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5 pages; minor changes, typos corrected, reference added, accepted for publication in PRD

Scientific paper

10.1103/PhysRevD.82.084032

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.

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