Theory Meets Data Analysis at Comparable and Extreme Mass Ratios - 2010

Motivated by the goal of self-consistently calculating self-force-corrected orbits and waveforms with (3+1) evolution codes we derive a covariant expression for a non-singular representation of a scalar point charge moving along a geodesic of an arbitrary spacetime. This differs from previous representations that were anchored to the use a particular locally-inertial coordinate system.