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Love numbers beyond GR from the modified Teukolsky equation
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Love numbers beyond GR from the modified Teukolsky equation
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We obtain the full set of tidal Love numbers of non-rotating black holes in an effective field theory extension of general relativity. We achieve our results using a recently introduced modified Teukolsky equation that describes the perturbations of black holes in this theory. We show how to identify the Love numbers and their beta functions in a systematic and gauge invariant way, applying analytic continuation on the angular number $\ell$ when necessary. We observe that there are three types of Love numbers: electric, magnetic, and a ``mixing'' type, associated to parity-breaking theories, that we identify here for the first time. The modified Teukolsky equation proves to be very useful as it allows us to obtain all the different Love numbers in a unified framework. We compare our results with previous literature that utilized the Regge-Wheeler-Zerilli equations to compute Love numbers, finding perfect agreement. The method introduced here paves the way towards the computation of Love numbers of rotating black holes beyond general relativity.
Forward citations
Cited by 7 Pith papers
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Wilson coefficients in higher-curvature EFTs equal point-particle counterterms plus finite-size Love-number pieces; standard GR matching fails and is corrected for cubic gravity.
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Leading effective field theory corrections to the Kerr metric at all spins
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Dynamical Tidal Response of Non-rotating Black Holes: Connecting the MST Formalism and Worldline EFT
Renormalized dynamical tidal response functions for non-rotating black holes in GR carry inevitable ambiguities from renormalization scheme and flow initial condition, yielding scheme-dependent dynamical tidal Love nu...
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