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Ringing of rotating black holes in higher-derivative gravity

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arxiv 2005.03671 v2 pith:AWRABYBI submitted 2020-05-07 gr-qc hep-th

Ringing of rotating black holes in higher-derivative gravity

classification gr-qc hep-th
keywords blackhigher-derivativerotatingeffectivefrequenciesgeneralgravityholes
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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We compute scalar quasinormal mode (QNM) frequencies in rotating black hole solutions of the most general class of higher-derivative gravity theories, to quartic order in the curvature, that reduce to General Relativity for weak fields and are compatible with its symmetries. The wave operator governing the QNMs is not separable, but we show one can extract the QNM frequencies by a projection onto the set of spheroidal harmonics. We have obtained accurate results for the quasinormal frequency corrections relative to Kerr for rotating black holes with dimensionless spins up to $\sim 0.7$. We also discuss to what extent our results carry over to the phenomenologically more relevant case of gravitational QNMs. Finally we provide an ancillary computational package that allows one to generalize our calculations to any effective energy-momentum tensor arising from higher-derivative terms in the effective action.

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Cited by 11 Pith papers

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