Gravitational self-force by mode sum regularization

Physical Review D

Volumn 64, Issue 8, 2001, Pages

  Barack, Leor ^a,b  

^a TECHNION ISRAEL INSTITUTE OF TECHNOLOGY   (Israel)

^b ALBERT EINSTEIN INSTITUT   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

ARTICLE; CALCULATION; FORCE; GRAVITY; MASS; MATHEMATICAL ANALYSIS; MATHEMATICAL MODEL; SPACE;

EID: 85038300156     PISSN: 05562821     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevD.64.084021     Document Type: Article

References (32)

1. P.A.M. Dirac, Proc. R. Soc. London, Ser. A 167, 148 (1938).
2. See, e.g., E.E. Flanagan and R.M. Wald, Phys. Rev. D 54, 6233 (1996); for a pedagogical introduction to the ALD equation see E. Poisson, gr-qc/9912045.
3. B.S. DeWitt and R.W. Brehme, Ann. Phys. (N.Y.) 9, 220 (1960).
4. LISA webpage: http://lisa.jpl.nasa.gov/
5. See, e.g., S.W. Leonard and E. Poisson, Phys. Rev. D 56, 4789 (1997), and references therein.
6. Y. Mino, M. Sasaki, and T. Tanaka, Phys. Rev. D 55, 3457 (1997).
7. T.C. Quinn and R.M. Wald, Phys. Rev. D 56, 3381 (1997).
8. J. Hadamard, Lectures on Cauchy's Problem in Linear Partial Differential Equations (Dover, New York, 1952).
9. T.C. Quinn, Phys. Rev. D 62, 064029 (2000).
10. L. Barack and A. Ori, gr-qc/0107056.
11. M.J. Pfenning and E. Poisson, gr-qc/0012057.
12. C.O. Lousto, Phys. Rev. Lett. 84, 5251 (2000).
13. H. Nakano and M. Sasaki, Prog. Theor. Phys. 105, 197 (2001).
14. S. Detweiler, Phys. Rev. Lett. 86, 1931 (2001).
15. L. Barack and A. Ori, Phys. Rev. D 61, 061502(R) (2000).
16. L. Barack, Phys. Rev. D 62, 084027 (2000).
17. L.M. Burko, Class. Quantum Grav. 17, 227 (2000).
18. L.M. Burko, Phys. Rev. Lett. 84, 4529 (2000).
19. L. Barack and L.M. Burko, Phys. Rev. D 62, 084040 (2000).
20. L.M. Burko, Y.-T. Liu, and Y. Soen, Phys. Rev. D 63, 024015 (2001).
21. L.M. Burko and Y.-T. Liu, Phys. Rev. D 64, 024006 (2001).
22. C.W. Misner, K.S. Thorne, and J.A. Wheeler, Gravitation (Freeman, San Francisco, 1970).
23. Note the mistake in Eqs. (49)-(51) of Ref. [7], where the trace-reversed Green's function has been used instead of the Green's function associated with the metric perturbation itself.
24. T. Regge and J.A. Wheeler, Phys. Rev. 108, 1063 (1957). Note that the basis of tensor harmonics introduced by Regge and Wheeler is not orthogonal.
25. F.J. Zerilli, J. Math. Phys. 11, 2203 (1970);
26. Phys. Rev. D 2, 2141 (1970).
27. F.J. Zerilli, Phys. Rev. D 2, 2141 (1970).
28. For a comprehensive review of tensor multipole expansions, see K.S. Thorne, Rev. Mod. Phys. 52, 299 (1980).
29. P.L. Chrzanowski, Phys. Rev. D 11, 2042 (1975).
30. L. Barack and C. O. Lousto (unpublished).
31. Some preliminary results of this work are given in C.O. Lousto, Proceedings of the 3rd International LISA Symposium, gr-qc/0010007.
32. V. Moncrief, Ann. Phys. (N.Y.) 88, 323 (1974).