The authors calculate the tidal Love numbers (TLN), which encode the effect of rapidly changing gravitational fields on deformable, self-gravitating objects, for various exotic compact objects. They have found a universal logarithmic dependence of the TLNs close to black holes and use this to propose future gravitational wave measurements of TLNs, which would provide a test for general relativity in the strong field regime.
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Cardoso et al. (2017) studied this question.
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