No-dipole-hair theorem for higher-dimensional static black holes
classification
✦ hep-th
astro-ph.COgr-qc
keywords
blackholesstaticcannotasymptoticallydipoleelectricfield
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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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