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The inclusion of finite-size effects in the gravitational waveform templates allows not only to constrain the internal structure of compact objects, but to test deviations from general relativity.
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For a discussion on the gauge independence of such Love numbers, see Binnington and Poisson 2009
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As usual, we refer to post-Newtonian order as n PN = 𝒪 ( v 2 n c 2 n ) {n\mathrm{PN}=\mathcal{O}\left(\frac{v^{2n}}{c^{2n}}\right)}
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