A periodic table for black hole orbits

Physical Review D - Particles, Fields, Gravitation and Cosmology

Volumn 77, Issue 10, 2008, Pages

  Levin, Janna ^a,b   Perez Giz, Gabe ^b  

^a Barnard College of Columbia University   (United States)

^b Och Spine at New York Presbyterian Hospitals   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 43949145634     PISSN: 15507998     EISSN: 15502368     Source Type: Journal    
DOI: 10.1103/PhysRevD.77.103005     Document Type: Article

References (34)

1. A. Fölsing, Albert Einstein (Viking Penguin, New York, 1997).
2. L. Barack and C. Cutler, Phys. Rev. D 69, 082005 (2004). PRVDAQ 0556-2821 10.1103/PhysRevD.69.082005
3. K. Glampedakis and D. Kennefick, Phys. Rev. D 66, 044002 (2002). PRVDAQ 0556-2821 10.1103/PhysRevD.66.044002
4. B. Carter, Phys. Rev. 174, 1559 (1968). PHRVAO 0031-899X 10.1103/PhysRev.174.1559
5. S. Chandrasekhar, The Mathematical Theory of Black Holes (Clarendon Press, Oxford, 1983).
6. H. Poincaré, Méthodes Nouvelles de la Mécanique Céleste (Gauthier Villars, Paris, 1892).
7. S. Chandrasekhar, Proc. R. Soc. A PRLAAZ 0080-4630 421, 227 (1989). 10.1098/rspa.1989.0010
8. G. Contopolous, in Deterministic Chaos in General Relativity, edited by, D. Hobill,,, A. Burd,, and, A. Coley, (Plenum Press, New York, 1993), p. 120.
9. G. Contopolous, Proc. R. Soc. A PRLAAZ 0080-4630 431, 183 (1990).
10. G. Contopolous, Proc. R. Soc. A PRLAAZ 0080-4630 435, 551 (1991).
11. R. Moeckel, Commun. Math. Phys. 150, 415 (1992). CMPHAY 0010-3616 10.1007/BF02096667
12. C.P. Dettmann, N.E. Frankel, and N.J. Cornish, Phys. Rev. D PRVDAQ 0556-2821 50, R618 (1994). 10.1103/PhysRevD.50.R618
13. L. Bombelli and E. Calzetta, Classical Quantum Gravity CQGRDG 0264-9381 9, 2573 (1992). 10.1088/0264-9381/9/12/004
14. R. Wald, General Relativity (University of Chicago Press, Chicago, 1984).
15. C. Hopman, AIP Conf. Proc. 873, 241 (2006). APCPCS 0094-243X 10.1063/1.2405050
16. S. Hughes, AIP Conf. Proc. 873, 233 (2006). APCPCS 0094-243X 10.1063/1.2405049
17. J.E. McClintock, R. Shafee, R. Narayan, R.A. Remillard, S.W. Davis, and L-X. Li, Astrophys. J. 652, 518 (2006). ASJOAB 0004-637X 10.1086/508457
18. S. Drasco and S. Hughes, Phys. Rev. D 73, 024027 (2006). PRVDAQ 0556-2821 10.1103/PhysRevD.73.024027
19. S. Drasco, E. Flannagan, and S. Hughes, Classical Quantum Gravity CQGRDG 0264-9381 22, S801 (2005). 10.1088/0264-9381/22/15/011
20. W. Schmidt, Classical Quantum Gravity CQGRDG 0264-9381 19, 2743 (2002). 10.1088/0264-9381/19/10/314
21. J. Levin, R. O'Reilly, and E.J. Copeland, Phys. Rev. D 62, 024023 (2000). PRVDAQ 0556-2821 10.1103/PhysRevD.62.024023
22. P. Amaro-Seoane, J.R. Gair, M. Freitag, M. Coleman Miller, I. Mandel, C.J. Cutler, and S. Babak, Classical Quantum Gravity CQGRDG 0264-9381 24, R113 (2007). 10.1088/0264-9381/24/17/R01
23. E. Poisson, Living Rev. Relativity 1433-8351 7, 6 (2004).
24. S. Suzuki and K. Maeda, Phys. Rev. D 55, 4848 (1997). PRVDAQ 0556-2821 10.1103/PhysRevD.55.4848
25. J. Levin, Phys. Rev. Lett. 84, 3515 (2000). PRLTAO 0031-9007 10.1103/PhysRevLett.84.3515
26. J. Levin, Phys. Rev. D 67, 044013 (2003). PRVDAQ 0556-2821 10.1103/PhysRevD.67.044013
27. N.J. Cornish and J. Levin, Phys. Rev. D 68, 024004 (2003). PRVDAQ 0556-2821 10.1103/PhysRevD.68.024004
28. M. Hartl and A. Buonanno, Phys. Rev. D 71, 024027 (2005). PRVDAQ 0556-2821 10.1103/PhysRevD.71.024027
29. J. Levin, Phys. Rev. D 74, 124027 (2006). PRVDAQ 0556-2821 10.1103/PhysRevD.74.124027
30. M. Hartl, Phys. Rev. D 67, 024005 (2003). PRVDAQ 0556-2821 10.1103/PhysRevD.67.024005
31. M. Hartl, Phys. Rev. D 67, 104023 (2003). PRVDAQ 0556-2821 10.1103/PhysRevD.67.104023
32. E.T. Whittaker, Analytical Dynamics (Cambridge University Press, Cambridge, England, 1961).
33. S. Drasco and S.A. Hughes, Phys. Rev. D 69, 044015 (2004). PRVDAQ 0556-2821 10.1103/PhysRevD.69.044015
34. J. Bardeen, W. Press, and S. Teukolsky, Astrophys. J. 178, 347 (1972). ASJOAB 0004-637X 10.1086/151796