A rigorous derivation of gravitational self-force

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Black hole perturbation theory and gravitational self-force (2021, background): “Through second order, it can be shown to be the stress-energy of a spinning particle in the effective metric [43, 80, 151, 153, 193]:20”
The Motion of Point Particles in Curved Spacetime (2003, methodology): “Note that this is the typical approach in general relativity: Whereas in Newtonian mechanics one directly finds the equation of motion for the centre of mass of a body, in general relativity one typically seeks a world line about which the mass dipole of the body vanishes (or an equation of motion f”
Essentials of blackfold dynamics (2009, background): “The development of this line of argument, which can be regarded as a blend of the ideas for the effective descriptions of black hole dynamics in [18, 19] (and references therein), and in [17], produces a systematic derivation of the blackfold equations.”