Lindblad resonance torques in relativistic discs - II. Computation of resonance strengths

Monthly Notices of the Royal Astronomical Society

Volumn 414, Issue 4, 2011, Pages 3212-3230

  Hirata, Christopher M ^a  

^a CALIFORNIA INSTITUTE OF TECHNOLOGY   (United States)

Author keywords

Accretion, accretion discs; Black hole physics; Relativistic processes

Indexed keywords

BLACK HOLES; GRAVITATION; ORBITS; RESONANCE; STARS;

ACCRETION: ACCRETION DISKS; BLACK HOLE PHYSICS; EQUATORIAL ORBITS; INNER LINDBLAD RESONANCES; KERR BLACK HOLE; LINDBLAD; RELATIVISTIC PROCESS; RELATIVISTICS; RESONANCE STRENGTHS; SCHWARZSCHILD;

TORQUE;

EID: 79959837505     PISSN: 00358711     EISSN: 13652966     Source Type: Journal    
DOI: 10.1111/j.1365-2966.2011.18619.x     Document Type: Article

References (44)

1. Abramowitz M., Stegun I., 1972, Handbook of Mathematical Functions. Dover Press, New York
2. Arnold V., 1978, Mathematical Methods of Classical Mechanics. Springer-Verlag, New York
3. Boyer R., Lindquist R., 1967, J. Math. Phys., 8, 265
4. Chandrasekhar S., 1992, The Mathematical Theory of Black Holes. Oxford Univ. Press, New York
5. Chang P., Strubbe L., Menou K., Quataert E., 2010, MNRAS, 407, 2007
6. Chrzanowski P., 1975, Phys. Rev. D, 11, 2042
7. Detweiler S., 1978, ApJ, 225, 687
8. Drasco S., Hughes S., 2006, Phys. Rev. D, 73, 024027
9. Drasco S., Flanagan É., Hughes S., 2005, Class. Quantum Grav., 22, S801
10. Flanagan É., Hinderer T., 2010, preprint (arXiv:1009.4923)
11. Goldberg J., Macfarlane A., Newman E., Rohrlich F., Sudarshan E., 1967, J. Math. Phys., 8, 2155
12. Goldreich P., Tremaine S., 1978, ApJ, 222, 850
13. Goldreich P., Tremaine S., 1979, ApJ, 233, 857
14. Goldreich P., Tremaine S., 1980, ApJ, 241, 425
15. Goldstein H., Poole C., Safko J., 2002, Classical Mechanics, 3rd edn. Addison-Wesley, San Francisco
16. Hinderer T., Flanagan É., 2008, Phys. Rev. D, 78, 064028
17. Hirata C. M., 2011, MNRAS, in press (doi:) (Paper I, this issue)
18. Hughes S., 2000, Phys. Rev. D, 61, 084004
19. Hughes S., Drasco S., Flanagan É., Franklin J., 2005, Phys. Rev. Lett., 04, 221101
20. Kennefick D., 1998, Phys. Rev. D, 58, 064012
21. Lang R., Hughes S., 2006, Phys. Rev. D, 74, 122001
22. Lin D., Papaploizou J., 1979, MNRAS, 186, 799
23. Lynden Bell D., Kalnajs A., 1972, MNRAS, 157, 1
24. Mano S., Suzuki H., Takasugi E., 1996, Prog. Theor. Phys., 95, 1079
25. Mino Y., 2003, Phys. Rev. D, 67, 084027
26. Mino Y., Sasaki M., Shibata M., Tagoshi H., Tanaka T., 1997, Prog. Theor. Phys. Supp., 128, 1
27. Misner C., Thorne K., Wheeler J., 1973, Gravitation. W. H. Freeman and Co., San Francisco
28. Murray C., Dermott S., 2000, Solar System Dynamics. Cambridge Univ. Press, Cambridge
29. Newman E., Penrose R., 1966, J. Math. Phys., 7, 863
30. Okazaki A., Kato S., Fukue J., 1987, PASJ, 39, 457
31. Ori A., 2003, Phys. Rev. D, 67, 124010
32. Porco C., Nicholson P., Borderies N., Danielson G., Goldreich P., Holberg J., Lane A., 1984, Icarus, 60, 1
33. Press W., Teukolsky S., 1973, ApJ, 185, 649
34. Press W., Teukolsky S., Vetterling W., Flannery B., 1992, Numerical recipes in C. The Art of Scientific Computing. Cambridge Univ. Press, Cambridge
35. Sasaki M., Nakamura T., 1982a, Phys. Lett. A, 89, 68
36. Sasaki M., Nakamura T., 1982b, Prog. Theor. Phys., 67, 1788
37. Sasaki M., Tagoshi H., 2003, Living Rev. Relativ., 6, 6
38. Schmidt W., 2002, Class. Quantum Grav., 19, 2743
39. Shibata M., 1993, Phys. Rev. D, 48, 663
40. Shibata M., 1994, Phys. Rev. D, 50, 6297
41. Teukolsky S., 1973, ApJ, 185, 635
42. Teukolsky S., Press W., 1974, ApJ, 193, 443
43. Wald R., 1978, Phys. Rev. Lett., 41, 203
44. Wald R., 1984, General Relativity. Univ. Chicago Press, Chicago