1/f fluctuations in spinning-particle motions around a Schwarzschild black hole

Physical Review D - Particles, Fields, Gravitation and Cosmology

Volumn 76, Issue 6, 2007, Pages

  Koyama, Hiroko ^a,b   Kiuchi, Kenta ^a   Konishi, Tetsuro ^b  

^a WASEDA UNIVERSITY   (Japan)

^b NAGOYA UNIVERSITY   (Japan)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 34848848699     PISSN: 15507998     EISSN: 15502368     Source Type: Journal    
DOI: 10.1103/PhysRevD.76.064031     Document Type: Article

References (47)

1. A.J. Lichtenberg and M.A. Lieberman, Regular and Chaotic Dynamics (Springer, New York, 1992).
2. G. Contopoulos, Order and Chaos in Dynamical Astronomy (Springer, New York, 2002).
3. Deterministic Chaos in General Relativity, edited by, D. Hobill,,, A. Burd,, and, A. Coley, (Plenum, New York, 1994), and references therein.
4. J.D. Barrow, Phys. Rep. 85, 1 (1982). PRPLCM 0370-1573 10.1016/0370-1573(82)90171-5
5. G. Contopoulos, Proc. R. Soc. A PRLAAZ 0080-4630 431, 183 (1990).
6. C.P. Dettmann, N.E. Frankel, and N.J. Cornish, Phys. Rev. D 50, R618 (1994). PRVDAQ 0556-2821 10.1103/PhysRevD.50.R618
7. U. Yurtsever, Phys. Rev. D 52, 3176 (1995). PRVDAQ 0556-2821 10.1103/PhysRevD.52.3176
8. V. Karas and D. Vokrouhlický, Gen. Relativ. Gravit. GRGVA8 0001-7701 24, 729 (1992). 10.1007/BF00760079
9. H. Varvoglis and D. Papadopoulos, Astron. Astrophys. 261, 664 (1992). AAEJAF 0004-6361
10. L. Bombelli and E. Calrzetta, Classical Quantum Gravity CQGRDG 0264-9381 9, 2573 (1992). 10.1088/0264-9381/9/12/004
11. R. Moeckel, Commun. Math. Phys. 150, 415 (1992). CMPHAY 0010-3616 10.1007/BF02096667
12. Y. Sota, S. Suzuki, and K. Maeda, Classical Quantum Gravity CQGRDG 0264-9381 13, 1241 (1996). 10.1088/0264-9381/13/5/034
13. S. Suzuki and K. Maeda, Phys. Rev. D 55, 4848 (1997). PRVDAQ 0556-2821 10.1103/PhysRevD.55.4848
14. S. Suzuki and K. Maeda, Phys. Rev. D 58, 023005 (1998). PRVDAQ 0556-2821 10.1103/PhysRevD.58.023005
15. S. Suzuki and K. Maeda, Phys. Rev. D 61, 024005 (1999). PRVDAQ 0556-2821 10.1103/PhysRevD.61.024005
16. M.D. Hartl, Phys. Rev. D 67, 024005 (2003). PRVDAQ 0556-2821 10.1103/PhysRevD.67.024005
17. O. Semerák, Mon. Not. R. Astron. Soc. MNRAA4 0035-8711 308, 863 (1999). 10.1046/j.1365-8711.1999.02754.x
18. J. Levin, Phys. Rev. Lett. 84, 3515 (2000). PRLTAO 0031-9007 10.1103/PhysRevLett.84.3515
19. J.D. Schnittman and F.A. Rasio, Phys. Rev. Lett. 87, 121101 (2001). PRLTAO 0031-9007 10.1103/PhysRevLett.87.121101
20. N.J. Cornish and J. Levin, Phys. Rev. Lett. 89, 179001 (2002). PRLTAO 0031-9007 10.1103/PhysRevLett.89.179001
21. N.J. Cornish and J. Levin, Phys. Rev. D 68, 024004 (2003). PRVDAQ 0556-2821 10.1103/PhysRevD.68.024004
22. K. Kiuchi and K. Maeda, Phys. Rev. D 70, 064036 (2004). PRVDAQ 0556-2821 10.1103/PhysRevD.70.064036
23. J. Levin, Phys. Rev. D 74, 124027 (2006). PRVDAQ 0556-2821 10.1103/PhysRevD.74.124027
24. P. Dutta and P.M. Horn, Rev. Mod. Phys. 53, 497 (1981). RMPHAT 0034-6861 10.1103/RevModPhys.53.497
25. M.B. Weissman, Rev. Mod. Phys. 60, 537 (1988). RMPHAT 0034-6861 10.1103/RevModPhys.60.537
26. H.G. Schuster, Deterministic Chaos (Physik-Verlag, Weinheim, 1984).
27. P. Manneville, J. Phys. (France) JOPQAG 0302-0738 41, 1235 (1980). 10.1051/jphys:0198000410110123500
28. T. Kohyama, Prog. Theor. Phys. 71, 1104 (1984). PTPKAV 0033-068X 10.1143/PTP.71.1104
29. T. Geisel, A. Zacherl, and G. Radons, Phys. Rev. Lett. 59, 2503 (1987). PRLTAO 0031-9007 10.1103/PhysRevLett.59.2503
30. A. Papapetrou, Proc. R. Soc. A PRLAAZ 0080-4630 209, 248 (1951). 10.1098/rspa.1951.0200
31. W.G. Dixon, Proc. R. Soc. A PRLAAZ 0080-4630 314, 499 (1970); 10.1098/rspa.1970.0020
32. W.G. Dixon Proc. R. Soc. A PRLAAZ 0080-4630 319, 509 (1970); 10.1098/rspa.1970.0191
33. W.G. Dixon Gen. Relativ. Gravit. GRGVA8 0001-7701 4, 199 (1973); 10.1007/BF02412488
34. W.G. Dixon Phil. Trans. R. Soc. A PTRMAD 1364-503X 277, 59 (1974); 10.1098/rsta.1974.0046
35. W.G. Dixon in Isolated Gravitating Systems in General Relativity, edited by, J. Ehlers, (North-Holland, Amsterdam, 1979), p. 156.
36. E. Wald, Phys. Rev. D 6, 406 (1972). PRVDAQ 0556-2821 10.1103/PhysRevD.6.406
37. W. Press, B.P. Flannery, S. Teukolsky, and W.T. Vetterling, Numerical Recipies in C (Cambridge University Press, Cambridge, England, 1986).
38. L.E. Leichl, A Modern Course in Statistical Physics (University of Texas, Austin, 1980).
39. A.N. Kolmogolov, Dokl. Akad. Nauk. SSSR DASBAQ 98, 527 (1954).
40. V.I. Arnold, Russ. Math. Surv. 0036-0279 18, 85 (1963). 10.1070/rm1963v018n06ABEH001143
41. J. Moser, Nachr. Akad. Wiss. Gött. Math. Phys. Kl, 1 (1962). 0065-5295 NAAKA5
42. C.F.F. Karney, Physica D (Amsterdam) 8, 360 (1983). PDNPDT 0167-2789 10.1016/0167-2789(83)90232-4
43. B.V. Chirikov and D.L. Shepelyansky, Physica D (Amsterdam) 13, 395 (1984). PDNPDT 0167-2789 10.1016/0167-2789(84)90140-4
44. Y. Aizawa, Y. Kikuchi, T. Harayama, K. Yamamoto, M. Ota, and K. Tanaka, Prog. Theor. Phys. Suppl. 98, 36 (1989). PTPSEP 0375-9687 10.1143/PTPS.98.36
45. Y. Aizawa, Prog. Theor. Phys. 71, 1419 (1984). PTPKAV 0033-068X 10.1143/PTP.71.1419
46. J.D. Meiss and E. Ott, Phys. Rev. Lett. 55, 2741 (1985). PRLTAO 0031-9007 10.1103/PhysRevLett.55.2741
47. Y.Y. Yamaguchi and T. Konishi, Prog. Theor. Phys. PTPKAV 0033-068X 99, 139 (1998). 10.1143/PTP.99.139