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

@article{Detweiler2002SelfforceOA, 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}, year={2002}, volume={67}, pages={104016} }

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…

## 65 Citations

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## References

SHOWING 1-10 OF 28 REFERENCES

### Numerical Recipes in C: The Art of Sci-entific Computing

- Computer Science
- 1986

This is the revised and greatly expanded Second Edition of the hugely popular Numerical Recipes, with over 100 new routines (now well over 300 in all), plus upgraded versions of many of the original routines.

### Mathematical Methods for Physicists

- Mathematics
- 1966

Vector Analysis. Curved Coordinates, Tensors. Determinants and Matrices. Group Theory. Infinite Series. Functions of a Complex Variable I. Functions of a Complex Variable II. Differential Equations.…

### Numerical recipes in C++: the art of scientific computing, 2nd Edition (C++ ed., print. is corrected to software version 2.10)

- Environmental Science
- 1992

F uther repruction, or ny coying of m acineredable fles (inluding his one) to ny srver om pter, is sictly proibited.

### Phys

- Rev. D 34, 991
- 1986

### Phys

- Rev. D 67, 024025
- 2003

### Astrophys

- J. 200, 245
- 1975

### Phys

- Rev. D 31, 1815
- 1985

### Prog

- Theor. Phys. 108, 1039
- 2002

### Phys

- Rev. Lett. 88, 091101
- 2002