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Superradiant energy extraction from rotating hairy Horndeski black holes

Sohan Kumar JhaMohsen KhodadiAnisur RahamanAhmad Sheykhi
Dec 2022
摘要
Adopting the manifest of low-frequency and low mass for the scalarperturbation, we perform a semi-classical analysis of the superradiancephenomenon for a rotating hairy Horndeski black hole (BH). For the spacetimeunder study enriched by the Horndeski hairy parameter $h$, in addition to themass $M$ and spin $a$, we compute the amplification factor of scalar wavescattering indicating the energy extraction from the BH. We find that due tothe addition of the hairy parameter $h$ in the geometry, the superradiancescattering and its frequency range enhance compared to the Kerr BH. Thisimplies that Horndeski's gravity belongs to those alternative theories ofgravity that make the amplification factor larger than the Kerr BH so that theenergy extraction in its framework is more efficient than general relativity.Calculating the outgoing energy flux measured by an observer at infinityverifies the role of the hairy parameter $h$ in the increase of energyextraction efficiency from the rotating BH. By implementing the BH bomb,mechanism, we present an analysis of the superradiant instability of theunderlying BH spacetime against massive scalar fields. Our analysis indicatesthat the hairy Horndeski parameter leaves no imprint on the standardsuperradiant instability regime.
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