Self-force of a scalar field for circular orbits about a Schwarzschild black hole

  title={Self-force of a scalar field for circular orbits about a Schwarzschild black hole},
  author={Steven Lawrence Detweiler and Eirini Messaritaki and Bernard F. Whiting},
  journal={Physical Review D},
The foundations are laid for the numerical computation of the actual worldline for a particle orbiting a black hole and emitting gravitational waves. The essential practicalities of this computation are illustrated here for a scalar particle of infinitesimal size and small but finite scalar charge. This particle deviates from a geodesic because it interacts with its own retarded field ψret. A recently introduced Green’s function GS precisely determines the singular part ψS of the retarded field… 

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