Self-force on a scalar particle in spherically symmetric spacetime via mode-sum regularization: Radial trajectories

Physical Review D - Particles, Fields, Gravitation and Cosmology

Volumn 62, Issue 8, 2000, Pages 1-21

  Barack, Leor ^a  

^a TECHNION ISRAEL INSTITUTE OF TECHNOLOGY   (Israel)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 17144394491     PISSN: 05562821     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevD.62.084027     Document Type: Article

References (44)

1. B. F. Schutz, Class. Quantum Grav. 16, A131 (1999).
2. See, e.g., M. Davis et al., Phys. Rev. Lett. 27, 1446 (1971); 28, 1352 (1972); S. A. Teukolsky and W. H. Press, Astrophys. J. 193, 443 (1974); E. Poisson, Phys. Rev. D 47, 1497 (1993); M. Shibata, Prog. Theor. Phys. 90, 595 (1993); B. R. Iyer and C. M. Will, Phys. Rev. Lett. 70, 113 (1993); C. Cutler, D. Kennefick, and E. Poisson, Phys. Rev. D 50, 3816 (1994); E. Poisson and M. Sasaki, ibid. 51, 5753 (1995); S. W. Leonard and E. Poisson, ibid. 56, 4789 (1997).
3. See, e.g., M. Davis et al., Phys. Rev. Lett. 27, 1446 (1971); 28, 1352 (1972); S. A. Teukolsky and W. H. Press, Astrophys. J. 193, 443 (1974); E. Poisson, Phys. Rev. D 47, 1497 (1993); M. Shibata, Prog. Theor. Phys. 90, 595 (1993); B. R. Iyer and C. M. Will, Phys. Rev. Lett. 70, 113 (1993); C. Cutler, D. Kennefick, and E. Poisson, Phys. Rev. D 50, 3816 (1994); E. Poisson and M. Sasaki, ibid. 51, 5753 (1995); S. W. Leonard and E. Poisson, ibid. 56, 4789 (1997).
4. See, e.g., M. Davis et al., Phys. Rev. Lett. 27, 1446 (1971); 28, 1352 (1972); S. A. Teukolsky and W. H. Press, Astrophys. J. 193, 443 (1974); E. Poisson, Phys. Rev. D 47, 1497 (1993); M. Shibata, Prog. Theor. Phys. 90, 595 (1993); B. R. Iyer and C. M. Will, Phys. Rev. Lett. 70, 113 (1993); C. Cutler, D. Kennefick, and E. Poisson, Phys. Rev. D 50, 3816 (1994); E. Poisson and M. Sasaki, ibid. 51, 5753 (1995); S. W. Leonard and E. Poisson, ibid. 56, 4789 (1997).
5. See, e.g., M. Davis et al., Phys. Rev. Lett. 27, 1446 (1971); 28, 1352 (1972); S. A. Teukolsky and W. H. Press, Astrophys. J. 193, 443 (1974); E. Poisson, Phys. Rev. D 47, 1497 (1993); M. Shibata, Prog. Theor. Phys. 90, 595 (1993); B. R. Iyer and C. M. Will, Phys. Rev. Lett. 70, 113 (1993); C. Cutler, D. Kennefick, and E. Poisson, Phys. Rev. D 50, 3816 (1994); E. Poisson and M. Sasaki, ibid. 51, 5753 (1995); S. W. Leonard and E. Poisson, ibid. 56, 4789 (1997).
6. See, e.g., M. Davis et al., Phys. Rev. Lett. 27, 1446 (1971); 28, 1352 (1972); S. A. Teukolsky and W. H. Press, Astrophys. J. 193, 443 (1974); E. Poisson, Phys. Rev. D 47, 1497 (1993); M. Shibata, Prog. Theor. Phys. 90, 595 (1993); B. R. Iyer and C. M. Will, Phys. Rev. Lett. 70, 113 (1993); C. Cutler, D. Kennefick, and E. Poisson, Phys. Rev. D 50, 3816 (1994); E. Poisson and M. Sasaki, ibid. 51, 5753 (1995); S. W. Leonard and E. Poisson, ibid. 56, 4789 (1997).
7. See, e.g., M. Davis et al., Phys. Rev. Lett. 27, 1446 (1971); 28, 1352 (1972); S. A. Teukolsky and W. H. Press, Astrophys. J. 193, 443 (1974); E. Poisson, Phys. Rev. D 47, 1497 (1993); M. Shibata, Prog. Theor. Phys. 90, 595 (1993); B. R. Iyer and C. M. Will, Phys. Rev. Lett. 70, 113 (1993); C. Cutler, D. Kennefick, and E. Poisson, Phys. Rev. D 50, 3816 (1994); E. Poisson and M. Sasaki, ibid. 51, 5753 (1995); S. W. Leonard and E. Poisson, ibid. 56, 4789 (1997).
8. See, e.g., M. Davis et al., Phys. Rev. Lett. 27, 1446 (1971); 28, 1352 (1972); S. A. Teukolsky and W. H. Press, Astrophys. J. 193, 443 (1974); E. Poisson, Phys. Rev. D 47, 1497 (1993); M. Shibata, Prog. Theor. Phys. 90, 595 (1993); B. R. Iyer and C. M. Will, Phys. Rev. Lett. 70, 113 (1993); C. Cutler, D. Kennefick, and E. Poisson, Phys. Rev. D 50, 3816 (1994); E. Poisson and M. Sasaki, ibid. 51, 5753 (1995); S. W. Leonard and E. Poisson, ibid. 56, 4789 (1997).
9. See, e.g., M. Davis et al., Phys. Rev. Lett. 27, 1446 (1971); 28, 1352 (1972); S. A. Teukolsky and W. H. Press, Astrophys. J. 193, 443 (1974); E. Poisson, Phys. Rev. D 47, 1497 (1993); M. Shibata, Prog. Theor. Phys. 90, 595 (1993); B. R. Iyer and C. M. Will, Phys. Rev. Lett. 70, 113 (1993); C. Cutler, D. Kennefick, and E. Poisson, Phys. Rev. D 50, 3816 (1994); E. Poisson and M. Sasaki, ibid. 51, 5753 (1995); S. W. Leonard and E. Poisson, ibid. 56, 4789 (1997).
10. See, e.g., M. Davis et al., Phys. Rev. Lett. 27, 1446 (1971); 28, 1352 (1972); S. A. Teukolsky and W. H. Press, Astrophys. J. 193, 443 (1974); E. Poisson, Phys. Rev. D 47, 1497 (1993); M. Shibata, Prog. Theor. Phys. 90, 595 (1993); B. R. Iyer and C. M. Will, Phys. Rev. Lett. 70, 113 (1993); C. Cutler, D. Kennefick, and E. Poisson, Phys. Rev. D 50, 3816 (1994); E. Poisson and M. Sasaki, ibid. 51, 5753 (1995); S. W. Leonard and E. Poisson, ibid. 56, 4789 (1997).
11. A. G. Wiseman, Phys. Rev. D 61, 084014 (2000).
12. L. M. Burko, "Importance of conservative self forces for binaries undergoing radiation damping" (in preparation).
13. P. A. M. Dirac, Proc. R. Soc. London A167, 148 (1938).
14. D. V. Gal'tsov, J. Phys. A 15, 3737 (1982).
15. B. S. DeWitt and R. W. Brehme, Ann. Phys. (N.Y.) 9, 220 (1960).
16. J. Hadamard, Lectures on Couchy's Problem in Linear Partial Differential Equations (Dover, New York, 1952).
17. Y. Mino, M. Sasaki, and T. Tanaka, Phys. Rev. D 55, 3457 (1997).
18. Y: Mino, Prog. Theor. Phys. 99, 79 (1998); Y. Mino and H. Nakano, ibid. 100, 507 (1998).
19. Y: Mino, Prog. Theor. Phys. 99, 79 (1998); Y. Mino and H. Nakano, ibid. 100, 507 (1998).
20. T. C. Quinn and R. M. Wald, Phys. Rev. D 56, 3381 (1997).
21. J. M. Hobbs, Ann. Phys. (N.Y.) 47, 141 (1968).
22. T. C. Quinn, Phys. Rev. D (to be published), gr-qc/0005030.
23. T. C. Quinn and R. M. Wald, Phys. Rev. D 60, 064009 (1999).
24. C. M. DeWitt and B. S. DeWitt, Physics (N.Y.) 1, 3 (1964).
25. A. G. Smith and C. M. Will, Phys. Rev. D 22, 1276 (1980).
26. V. P. Frolov and A. I. Zel'nikov in Abstracts of Contributed Papers, Ninth International Conference GRG, 1980, Vol. 3, p. 555.
27. V. P. Frolov and A. I. Zel'nikov, Zh. Éksp. Teor. Fiz. 82, 321 (1982) [Sov. Phys. JETP 55, 191 (1982)].
28. V. P. Frolov and A. I. Zel'nikov, Zh. Éksp. Teor. Fiz. 82, 321 (1982) [Sov. Phys. JETP 55, 191 (1982)].
29. E. T. Copson, Proc. R. Soc. London A188, 184 (1928).
30. B. Linet, J. Phys. A 9, 1081 (1976).
31. A. Ori, Phys. Lett. A 202, 347 (1995); Phys. Rev. D 55, 3444 (1997).
32. A. Ori, Phys. Lett. A 202, 347 (1995); Phys. Rev. D 55, 3444 (1997).
33. L. Barack and A. Ori, Phys. Rev. D 61, 061502(R) (2000).
34. L. M. Burko, Class. Quantum Grav. 17, 227 (2000).
35. L. M. Burko, Phys. Rev. D 84, 4529 (2000).
36. L. M. Burko, in Proceedings of the 3rd Amaldi Conference on Gravitational Waves, edited by Sydney Meshkov, gr-qc/9911089.
37. L. Barack and L. M. Burko, "Radiation-reaction force on a particle plunging into a black hole," Phys. Rev. D (to be published), gr-qc/0007033.
38. I. S. Gradshteyn and I. M. Ryzhik, Tables of Integrals, Series and Products (Academic, New York, 1980).
39. See, for example, Eq. (3.62) in J. D. Jackson, Classical Electrodynamics, 3rd ed. (Wiley, New York, 1999).
40. A. Ori (unpublished).
41. V. E. Hubeny, Phys. Rev. D 59, 064013 (1999).
42. C. O. Lousto, Phys. Rev. Lett. 84, 5251 (2000).
43. R. Courant and D. Hilbert, Methods of Mathematical Physics (Interscience Publishers, New York, 1953), Vol. I.
44. A. Erdélyi et al., Higher Transcendental Functions (McGraw-Hill, New York, 1953), Vol. 1.