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arXiv · 1007.3847

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

Roberto Emparan·Seiju Ohashi·Tetsuya Shiromizu
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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.

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Roberto Emparan, Seiju Ohashi, Tetsuya Shiromizu. 2010-10-18. No-dipole-hair theorem for higher-dimensional static black holes. https://doi.org/10.1103/physrevd.82.084032

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