Signature of chaos in gravitational waves from a spinning particle

Physical Review D - Particles, Fields, Gravitation and Cosmology

Volumn 61, Issue 2, 2000, Pages

  Maeda, Kei ichi ^b  

^a TOKYO INSTITUTE OF TECHNOLOGY   (Japan)

^b WASEDA UNIVERSITY   (Japan)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 17044403815     PISSN: 15507998     EISSN: 15502368     Source Type: Journal    
DOI: 10.1103/PhysRevD.61.024005     Document Type: Article

References (36)

1. J. J. Klavetter, Astron. J. 97, 570 (1989).
2. J. Moser, Math. Intell. 1, 65 (1978).
3. H. J. Lehto, B. Czerny, and I. M. McHardy, Mon. Not. R. Astron. Soc. 261, 125 (1993).
4. A. Provenzale, R. Vio, and S. Cristiani, Astrophys. J. 428, 591 (1994).
5. Z. Kolláth, Mon. Not. R. Astron. Soc. 247, 377 (1990)
6. Z. Kolláth and B. Szeidl, Astron. Astrophys. 277, 62 (1993)
7. J. R. Buchler, Z. Koll’ath, T. Serre, and J. Mattei, Astrophys. J. 462, 489 (1996).
8. A. Abromovici, W. E. Althouse, R. W. P. Drever, Y. Gürsel, S. Kawamura, F. J. Raab, D. Shoemaker, L. Sievers, R. E. Spero, K. S. Thorne, R. E. Vogt, R. Weiss, S. E. Whitcomb, and M. E. Zucker, Science 256, 325 (1992).
9. S. Droz and E. Poisson, Phys. Rev. D 56, 4449 (1997).
10. C. Cutler, T. A. Apostolatos, L. Bildsten, L. S. Finn, E. E. Flanagan, D. Kennefick, D. M. Markovic, A. Ori, E. Poisson, G. J. Sussman, and K. S. Thorne, Phys. Rev. Lett. 70, 2984 (1993).
11. For a review, see, e.g., T. Damour, in 300 Years of Gravitation, edited by S. W. Hawking and W. Israel (Cambridge University Press, Cambridge, England, 1987), p. 128.
12. L. E. Kidder, Phys. Rev. D 52, 821 (1995)
13. Phys. Rev. DT. A. Abostolatos, C. Cutler, G. J. Sussman, and K. S. Thorne, 49, 6274 (1994)
14. T. A. Apostolatos, Class. Quantum Grav. 13, 799 (1996).
15. Y. Mino, M. Shibata, and T. Tanaka, Phys. Rev. D 53, 622 (1996)
16. Phys. Rev. DT. Tanaka, Y. Mino, M. Sasaki, and M. Shibata, 54, 3762 (1996).
17. M. Saijo, K. Maeda, M. Shibata, and Y. Mino, Phys. Rev. D 58, 064005 (1998).
18. S. Suzuki and K. Maeda, Phys. Rev. D 55, 4848 (1997).
19. S. Suzuki and K. Maeda, Phys. Rev. D 58, 023005 (1998).
20. C. W. Misner, K. S. Thorne, and J. A. Wheeler, Gravitation (W. H. Freeman and Company, New York, 1973).
21. A. Papapetrou, Proc. R. Soc. London A209, 248 (1951).
22. W. G. Dixon, Proc. R. Soc. London A314, 499 (1970)
23. Proc. R. Soc. LondonW. G. DixonA319, 509 (1970)
24. W. G. DixonGen. Relativ. Gravit. 4, 193 (1973)
25. W. G. DixonPhilos. Trans. R. Soc. London A277, 59 (1974);in Isolated Gravitating Systems in General Relativity, edited by J. Ehlers (North-Holland, Amsterdam, 1979), p. 156.
26. The definition of the sign of the spin direction is different from that in paper I. The effective potential (Formula presented) is the same as the (Formula presented) in paper I.
27. L. D. Landau and E. M. Lifshitz, The Classical Theory of Fields (Pergamon, Oxford, 1951).
28. F. Kokubun, Phys. Rev. D 57, 2610 (1998).
29. N. J. Cornish and N. E. Frankel, Phys. Rev. D 56, 1903 (1997).
30. R. Rüdiger, Proc. R. Soc. London A375, 185 (1981)
31. Proc. R. Soc. LondonR. RüdigerA385, 229 (1983).
32. A. J. Lichtenberg and M. A. Lieberman, Regular and Chaotic Dynamics (Springer-Verlag, New York, 1992).
33. W. M. Viera and P. S. Letelier, Phys. Rev. Lett. 76, 1409 (1996)
34. P. S. Letelier and W. M. Viera, Phys. Rev. D 56, 8095 (1997)
35. W. M. Viera and P. S. Letelier, Class. Quantum Grav. 13, 3115 (1996).
36. Y. Mino, M. Shibata, and T. Tanaka, Phys. Rev. D 53, 622 (1996).