Equations of Motion in Relativistic Gravity

 Preface.- The New Mechanics of Myron Mathisson and its subsequent development.- Multipolar test body equations of motion in generalized gravity theories.- Energy-Momentum Tensors and Motion in Special Relativity.- Solutions of Mathisson-Papapetrou equations for highly relativistic spinning particles.- The MPD Equations in Analytic Perturbative Form.- Center of mass, spin supplementary conditions and the momentum of spinning particles.- General Relativistic Two-Body Problem: Theory and Experiment and the Role of Hidden Momentum.- Equations of Motion of Schwarzschild, Reissner-Nordstrom and Kerr Particles.- From singularities of fields to equations of particles motion.- Motion of spinless particles in gravitational fields.- On the Strong Field Point Particle Limit and Equation of Motion in General Relativity.- Motion in classical field theories and the foundations of the self-force problem.- Motion of small objects in curved spacetimes: An introduction to gravitational self-force.- Self-force: Computational Strategies.- On the self-force in electrodynamics and implications for gravity.- Self-gravitating elastic bodies.- On geodesic dynamics in deformed black-hole fields.- Higher order post-Newtonian dynamics of compact binary systems in Hamiltonian form.- Spin and quadrupole contributions to the motion of astrophysical binaries.- Testing the motion of strongly self-gravitating bodies with radio pulsars.- Equations of Motion in an Expanding Universe.- The Galactic Center Black Hole Laboratory.- Extreme mass ratio inspirals: perspectives for their detection.- Level sets of the lapse function in static GR.- Aberrational Effects for Shadows of Black Holes.- Time-domain inspiral templates for spinning compact binaries in quasi-circular orbits.