Gravity: Newtonian, Post-Newtonian, Relativistic

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Testing the nature of dark compact objects: a status report (2019, background): “3 Tidal deformability and Love numbers Finally, the nature of the inspiralling objects is also encoded in the way they respond when acted upon by the external gravitational field of their companion – through their tidal Love numbers (TLNs) [384].”
Testing the black hole ‘no-hair’ hypothesis (2016, methodology): “ gravitational (or electrostatic) potential generated by a distribution of masses (or charges) in terms of a set of scalar quantities, the multipoles (see e.g., Ref. [119] and the rst chapter of Ref. [120], and references therein). They have then been extended to GR [121{124]. CONTENTS 17 Multipole ”
Perturbative spacetimes from Yang-Mills theory (2016, background): “as it is common in perturbation theory [76].”
Neutron-star tidal deformability and equation-of-state constraints (2020, background): “The result is a tidal interaction, the theory of which is well-understood for Newtonian celestial bodies, see [59] for a modern presentation.”