  The motion of a charged particle is influenced by the self-force arising from
the particle's interaction with its own field. In a curved spacetime, this
self-force depends on the entire past history of the particle and is difficult
to evaluate. As a result, all existing self-force evaluations in curved
spacetime are for particles moving along a fixed trajectory. Here, for the
first time, we overcome this long-standing limitation and present fully
self-consistent orbits and waveforms of a scalar charged particle around a
Schwarzschild black hole.
