2022
DOI: 10.1103/physrevd.105.024064
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Gravitational ringing of rotating black holes in higher-derivative gravity

Abstract: We study gravitational perturbations of slowly-rotating black holes in a general effective-fieldtheory extension of general relativity that includes up to eight-derivative terms. We show that two Schrödinger-like equations with spin-dependent effective potentials govern the odd -and even-parity master variables. These equations are coupled for parity-violating corrections, and this coupling affects the quasinormal modes even at linear order in the higher-derivative corrections, due to their isospectrality in g… Show more

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Cited by 64 publications
(27 citation statements)
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References 79 publications
(112 reference statements)
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“…This feature has lead the search and analysis of QNM to be an important subject in the gravitationalwave literature. Hence, one can use gravitational-wave observations in order to test general relativity, examining for instance the validity of the "no-hair theorem" [74][75][76], and use the predictions of QNM properties to constrain and classify modified gravity theories [77][78][79][80][81][82][83][84][85]. Furthermore, the QNM frequency can also partly reveal the stability of spacetime geometry under small perturbations [86,87].…”
Section: Introductionmentioning
confidence: 99%
“…This feature has lead the search and analysis of QNM to be an important subject in the gravitationalwave literature. Hence, one can use gravitational-wave observations in order to test general relativity, examining for instance the validity of the "no-hair theorem" [74][75][76], and use the predictions of QNM properties to constrain and classify modified gravity theories [77][78][79][80][81][82][83][84][85]. Furthermore, the QNM frequency can also partly reveal the stability of spacetime geometry under small perturbations [86,87].…”
Section: Introductionmentioning
confidence: 99%
“…extending the work in [398][399][400][401] to systematically include and classify all possible higher-dimension/higher-derivative operators that can appear as counterterms in gravitational theories, including those discussed using standard GR methods in e.g. [402][403][404], will aid both model-specific and model-independent studies of GW signals, both with regard to the inspiral and the ringdown phase, see also Snowmass White Paper [405] on UV constraints and IR physics.…”
Section: Future Directions and Challengesmentioning
confidence: 99%
“…More recently, QNMs have received renewed interest as valuable indicators of modifications of gravity [14], motivating their analysis in theories beyond GR. For instance, QNMs have been investigated in models of gravity with curvature corrections [15][16][17][18] as well as in scalar-tensor theories [19][20][21][22][23][24][25].…”
Section: Introductionmentioning
confidence: 99%