New numerical methods to evaluate homogeneous solutions of the teukolsky equation

Progress of Theoretical Physics

Volumn 112, Issue 3, 2004, Pages 415-450

  Fujita, Ryuichi ^a   Tagoshi, Hideyuki ^a  

^a OSAKA UNIVERSITY   (Japan)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 10444232660     PISSN: 0033068X     EISSN: None     Source Type: Journal    
DOI: 10.1143/PTP.112.415     Document Type: Article

References (35)

1. LISA web page: http://lisa.jpl.nasa.gov/
2. J. R. Gair, L. Barack, T. Creighton, C. Cutler, S. L. Larson, E. S. Phinney and M. Vallisneri, gr-qc/0405137.
3. F. D. Ryan, Phys. Rev. D 52 (1995), 5707; Phys. Rev. D 56 (1997), 1845.
4. F. D. Ryan, Phys. Rev. D 52 (1995), 5707; Phys. Rev. D 56 (1997), 1845.
5. S. A. Teukolsky, Astrophys. J. 185 (1973), 635.
6. M. Sasaki and T. Nakamura, Prog. Theor. Phys. 67 (1982), 1788.
7. S. Chandrasekhar, Proc. R. Soc. London A 343 (1975), 289.
8. J. M. Bardeen and W. H. Press, J. Math. Phys. 14 (1973), 7.
9. T. Nakamura, K. Oohara and Y. Kojima, Prog. Theor. Phys. Suppl. No. 90 (1987), 1.
10. M. Shibata, Phys. Rev. D 48 (1993), 663.
11. L. S. Finn and K. S. Thorne, Phys. Rev. D 62 (2000), 124021.
12. T. Tanaka, M. Shibata, M. Sasaki, H. Tagoshi and T. Nakamura, Prog. Theor. Phys. 90 (1993), 65.
13. C. Cutler, D. Kennefick and E. Poisson, Phys. Rev. D 50 (1994), 3816.
14. T. Apostolatos, D. Kennefick, A. Ori and E. Poisson, Phys. Rev. D 47 (1993), 5376.
15. D. Kennefick, Phys. Rev. D 58 (1998), 064012.
16. M. Shibata, Phys. Rev. D 50 (1994), 6297.
17. K. Glampedakis and D. Kennefick, Phys. Rev. D 66 (2002), 044002.
18. M. Shibata, Prog. Theor. Phys. 90 (1993), 595.
19. S. A. Hughes, Phys. Rev. D 61 (2000), 084004.
20. S. A. Hughes, Phys. Rev. D 64 (2001), 064004.
21. C. Cutler, L. S. Finn, E. Poisson and G. J. Sussman, Phys. Rev. D 47 (1993), 1511.
22. E. W. Leaver, J. Math. Phys. 27 (1986), 1238.
23. H. Tagoshi and T. Nakamura, Phys. Rev. D 49 (1994), 4016.
24. S. Mano, H. Suzuki and E. Takasugi, Prog. Theor. Phys. 95 (1996), 1079.
25. Y. Mino, M. Sasaki, M. Shibata, H. Tagoshi and T. Tanaka, Prog. Theor. Phys. Suppl. No. 128 (1997), 1.
26. M. Sasaki and H. Tagoshi, Living Rev. Relativity 6 (2003), 6, http://www.livingreviews.org/lrr-2003-6/
27. H. Tagoshi, S. Mano and E. Takasugi, Prog. Theor. Phys. 98 (1997), 829.
28. S. Mano and E. Takasugi, Prog. Theor. Phys. 97 (1996), 213.
29. Handbook of Mathematical Functions, ed. M. Abramowitz and I. A. Stegun (Dover, New York, 1972).
30. W. Gautschi, S. I. A. M. Review 9 (1967), 24.
31. A. R. Barnett, D. H. Feng, J. W. Steed and L. J. B. Goldfarb, Comput. Phys. Commun. 8 (1974), 377.
32. W. H. Press, S. A. Teukolsky, W. T. Vetterling and B. P. Flannery, Numerical Recipes in C (Cambridge University Press, Cambridge, England, 1992).
33. T. Ooura, Online software library: http://momonga.t.u-tokyo.ac.jp/̃ooura/
34. W. H. Press and S. A. Teukolsky, Astrophys. J. 185 (1973), 649.
35. E. D. Fackerell and R. G. Crossman, J. Math. Phys. 9 (1977), 1849