Quasilocal contribution to the gravitational self-force

Physical Review D - Particles, Fields, Gravitation and Cosmology

Volumn 71, Issue 2, 2005, Pages

  Anderson, Warren G ^a   Flanagan, Éanna É ^b   Ottewill, Adrian C ^c  

^a UNIVERSITY OF WISCONSIN MILWAUKEE   (United States)

^b Department of Obstetrics Gynecology   (United States)

^c UNIVERSITY COLLEGE DUBLIN   (Ireland)

Author keywords

[No Author keywords available]

Indexed keywords

ARTICLE; CALCULATION; DECOMPOSITION; ELEMENTARY PARTICLE; GRAVITY; MATHEMATICAL ANALYSIS; SPACE; TIME; VELOCITY;

EID: 84927714762     PISSN: 15507998     EISSN: 15502368     Source Type: Journal    
DOI: 10.1103/PhysRevD.71.024036     Document Type: Article

References (69)

1. See http://lisa.jpl.nasa.gov/
2. L. S. Finn and K. S. Thorne, Phys. Rev. D 62, 124021 (2000).
3. P. A. M. Dirac, Proc. R. Soc. London A 167, 148 (1938).
4. E. Poisson, gr-qc/9912045.
5. J. Hadamard, Lectures on Cauchy's Problem in Linear Partial Differential Equations (Yale University Press, New Haven, CT, 1923).
6. K. L. Stellmacher, Nachr. Akad. Wiss. Göttingen. Math.-Phys. K1.II 10, 133 (1953); Math. Ann. 130, 219 (1955).
7. K. L. Stellmacher, Nachr. Akad. Wiss. Göttingen. Math.-Phys. K1.II 10, 133 (1953); Math. Ann. 130, 219 (1955).
8. P. Günther, Arch. Ration. Mech. Anal. 18, 103 (1965).
9. B. S. DeWitt and R. W. Brehme, Ann. Phys. (N.Y.) 9, 220 (1960).
10. J. M. Hobbs, Ann. Phys. (N.Y.) 47, 141 (1968).
11. Y. Mino, M. Sasaki, and T. Tanaka, Phys. Rev. D 55, 3457 (1997).
12. T. C. Quinn and R. M. Wald, Phys. Rev. D 56, 3381 (1997).
13. T. C. Quinn, Phys. Rev. D 62, 064029 (2000).
14. E. Poisson, gr-qc/0306052. Note that the sign convention for V in this review is the opposite from that used here.
15. C. M. DeWitt and B. S. DeWitt, Physics (N.Y.) 1, 3 (1964).
16. A. G. Smith and C. M. Will, Phys. Rev. D 22, 1276 (1980).
17. B. Léaute and B. Linet, J. Phys. A 15, 1821 (1982).
18. D. Lohiya, J. Phys. A 15, 1815 (1982).
19. A. I. Zel'nikov and V. P. Frolov, Sov. Phys. JETP 55, 191 (1982).
20. B. Léaute and B. Linet, Classical Quantum Gravity 1, 55 (1984).
21. B. Linet, Phys. Rev. D 33, 1833 (1986).
22. A. G. Smith, in The Formation and Evolution of Cosmic Strings, edited by G. W. Gibbons, S. W. Hawking, and T. Vachaspati (Cambridge University Press, Cambridge, England, 1990).
23. B. Allen, B.S. Kay, and A.C. Ottewill, Phys. Rev. D 53, 6829 (1996).
24. A. G. Wiseman, Phys. Rev. D 61, 084014 (2000).
25. M. J. Pfenning and E. Poisson, Phys. Rev. D 65, 084001 (2002).
26. T. Tanaka, M. Shibata, M. Sasaki, H. Tagoshi, and T. Nakamura, Prog. Theor. Phys. 90, 65 (1993).
27. M. Shibata, Prog. Theor. Phys. 99, 595 (1993).
28. C. Cutler, D. Kennefick, and E. Poisson, Phys. Rev. D 50, 3816 (1994).
29. F. D. Ryan, Phys. Rev. D 53, 3064 (1996).
30. D. Kennefick and A. Ori, Phys. Rev. D 53, 4319 (1996).
31. D. Kennefick, Phys. Rev. D 58, 064012 (1998).
32. S. A. Hughes, Phys. Rev. D 61, 084004 (2000).
33. A. Ori and K. S. Thorne, Phys. Rev. D 62, 124022 (2000).
34. L. Blanchet and G. Faye, Phys. Rev. D 63, 062005 (2001).
35. P. Jaranowski and G. Shäfer, Ann. Phys. (Berlin) 9, 378 (2000).
36. M. E. Pati and C. M. Will, Phys. Rev. D 62, 124015 (2000).
37. L. Barack, Phys. Rev. D 62, 084027 (2000).
38. L. Barack, Phys. Rev. D 64, 084021 (2001).
39. L. Barack and A. Ori, Phys. Rev. D 61, 061502(R) (2000).
40. L. Barack and L. M. Burko, Phys. Rev. D 62, 084040 (2000).
41. L. M. Burko, Classical Quantum Gravity 17, 227 (2000).
42. L. M. Burko, Phys. Rev. Lett. 84, 4529 (2000).
43. L. M. Burko and Y.-T. Liu, Phys. Rev. D 64, 024006 (2001).
44. L. M. Burko, Y.-T. Liu, and Y. Soen, Phys. Rev. D 63, 024015 (2001).
45. L. Barack, Y. Mino, H. Nakano, A. Ori, and M. Sasaki, Phys. Rev. Lett. 88, 091101 (2002).
46. L. Barack and A. Ori, Phys. Rev. D 66, 084022 (2002).
47. L. Barack and A. Ori, Phys. Rev. Lett. 90, 111101 (2003).
48. Y. Mino, Prog. Theor. Phys. 99, 79 (1998).
49. Y. Mino and H. Nakano, Prog. Theor. Phys. 100, 507 (1998).
50. Y. Mino, H. Nakano, and M. Sasaki, Reports No. UTAP-386 and No. OUTAP-157 (2001).
51. H. Nakano and M. Sasaki, Prog. Theor. Phys. 205, 197 (2001).
52. H. Nakano, Y. Mino, and M. Sasaki, Prog. Theor. Phys. 106, 339 (2001).
53. C. O. Lousto, Phys. Rev. Lett. 84, 5251 (2000).
54. E. Poisson and A. G. Wiseman, suggestion at the First Capra Ranch Meeting on Radiation Reaction, Capra Ranch, 1998.
55. M. R. Brown and A. C. Ottewill, Proc. R. Soc. London A 389, 379 (1983).
56. M. R. Brown and A. C. Ottewill, Phys. Rev. D 34, 1776 (1986).
57. D. Bernard and A. Folacci, Phys. Rev. D 34, 2286 (1986).
58. B. Allen, A. Folacci, and A. C. Ottewill, Phys. Rev. D 38, 1069 (1988).
59. C. W. Misner, K. S. Thorne, and J. A. Wheeler, Gravitation (Freeman, San Francisco, 1973).
60. S. M. Christensen, Phys. Rev. D 14, 2490 (1976).
61. S. M. Christensen, Phys. Rev. D 17, 946 (1978).
62. S. Detweiler and B. F. Whiting, Phys. Rev. D 67, 024025 (2003).
63. É. É. Flanagan and R. M. Wald, Phys. Rev. D 54, 6233 (1996).
64. J. L. Synge, Relativity: The General Theory (North-Holland, Amsterdam, 1960), Chap. 2.
65. W. G. Anderson and A. G. Wiseman (work in progress).
66. P. R. Anderson and B. L. Hu, Phys. Rev. D 69, 064039 (2004).
67. A. Ori (private communication).
68. J. H. Van Vleck, Proc. Natl. Acad. Sci. U.S.A. 14, 178 (1928); C. Morette, Phys. Rev. 81, 848 (1951).
69. J. H. Van Vleck, Proc. Natl. Acad. Sci. U.S.A. 14, 178 (1928); C. Morette, Phys. Rev. 81, 848 (1951).