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No nonminimally coupled massless scalar hair for spherically symmetric neutral black holes

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arxiv 1911.08371 v1 pith:YKAZQQYW submitted 2019-11-19 gr-qc astro-ph.HEhep-th

classification gr-qcastro-ph.HEhep-th
keywords blackcoupledfieldsholesmasslessneutralnonminimallyscalar
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We provide a remarkably compact proof that spherically symmetric neutral black holes cannot support static nonminimally coupled massless scalar fields. The theorem is based on causality restrictions imposed on the energy-momentum tensor of the fields near the regular black-hole horizon.

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Cited by 1 Pith paper

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  1. Non-equatorial scalar rings supported by rapidly spinning Gauss-Bonnet black holes

    gr-qc 2024-12 reject novelty 6.0 of 10

    For Kerr spins above a critical threshold near 0.78, the most negative value of the Gauss-Bonnet invariant is reached at non-equatorial polar angles, which the author identifies as the location of supported massive sc...

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