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2021

Tidal response from scattering and the role of analytic continuation

Creci, Gastón, Hinderer, Tanja, Steinhoff, Jan

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The tidal response of a compact object is a key gravitational-wave observable encoding information about its interior.

This link is subtle due to the nonlinearities of general relativity.
We show that considering a scattering process bypasses challenges with potential ambiguities, as the tidal response is determined by the asymptotic in- and outgoing waves at null infinity.
As an application of the general method, we analyze scalar waves scattering off a nonspinning black hole and demonstrate that the low-frequency expansion of the tidal response reproduces known results for the Love number and absorption.

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