Scattering and absorption of gravitational plane waves by rotating black holes

Classical and Quantum Gravity

Volumn 25, Issue 23, 2008, Pages

  Dolan, Sam R ^a  

^a UNIVERSITY COLLEGE DUBLIN   (Ireland)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 62649117763     PISSN: 02649381     EISSN: 13616382     Source Type: Journal    
DOI: 10.1088/0264-9381/25/23/235002     Document Type: Article

References (70)

1. Lorimer D R 1998 Binary and millisecond pulsars Living Rev. Rel. 1 10
2. Frey R E et al 2007 LIGO: status and recent results AIP Conf. Proc. 928 11
3. Hurley K (LIGO Scientific Collaboration) 2007 Implications for the origin of GRB 070201 from LIGO observations arXiv:0711.1163
4. Danzmann K and Rüdiger A 2003 LISA technology-concept, status, prospects Class. Quantum Grav. 20 S1
5. Pretorius F 2005 Evolution of binary black hole spacetimes Phys. Rev. Lett. 95 121101 (arXiv:gr-qc/0507014)
6. Hildreth W W 1964 The interaction of scalar gravitational waves with the Schwarzschild metric PhD Thesis Princeton University
7. Matzner R A 1968 Scattering of massless scalar waves by a Schwarzschild 'singularity' J. Math. Phys. 9 163-70
8. Chrzanowski P L, Matzner R A, Ryan M P and Sandberg V D 1976 Zero-mass plane waves in nonzero gravitational backgrounds Phys. Rev. D 14 317-26
9. Matzner R A and Ryan M P 1977 Low-frequency limit of gravitational scattering Phys. Rev. D 16 1636-42
10. Matzner R A and Ryan M P 1978 Scattering of gravitational radiation from vacuum black holes Astrophys. J. Suppl. 36 451-81
11. Handler F A and Matzner R A 1980 Gravitational wave scattering Phys. Rev. D 22 2331-48
12. Snchez N G 1976 Scattering of scalar waves from a Schwarzschild black hole J. Math. Phys. 17 688
13. Snchez N G 1977 Wave scattering and absorption problem for a black hole Phys. Rev. D 16 937-45
14. Snchez N G 1978 Absorption and emission spectra of a Schwarzschild black hole Phys. Rev. D 18 1030-6
15. Snchez N G 1978 Elastic scattering of waves by a black hole Phys. Rev. D 18 1798-1804
16. Mashhoon B 1973 Scattering of electromagnetic radiation from a black hole Phys. Rev. D 7 2807-14
17. Mashhoon B 1974 Electromagnetic scattering from a black hole and the glory effect Phys. Rev. D 10 1059-63
18. Mashhoon B 1975 Influence of gravitation on the propagation of electromagnetic radiation Phys. Rev. D 11 2679-84
19. Dolan S R, Doran C J L and Lasenby A N 2006 Fermion scattering by a Schwarzschild black hole Phys. Rev. D 74 064005 (arXiv:gr-qc/0605031)
20. Fabbri R 1975 Scattering and absorption of electromagnetic waves by a Schwarzschild black hole Phys. Rev. D 12 933-42
21. Futterman J A H 1981 The scattering of massless plane waves by rotating black holes PhD Thesis University of Texas, Austin
22. de Logi W K and Kovcs S J 1977 Gravitational scattering of zero-rest-mass plane waves Phys. Rev. D 16 237
23. Guadagnini E 2002 Gravitational deflection of light and helicity asymmetry Phys. Lett. B 548 19-23 (arXiv:gr-qc/0207036)
24. Barbieri A and Guadagnini E 2004 Gravitational optical activity Nucl. Phys. B 703 391-9
25. Barbieri A and Guadagnini E 2005 Gravitational helicity interaction Nucl. Phys. B 719 53-66 (arXiv:gr-qc/0504078)
26. Guadagnini E 2008 Gravitons scattering from classical matter Class. Quantum Grav. 25 095012 (arXiv:0803.2855)
27. DeWitt-Morette C and Nelson B L 1984 Glories-and other degenerate points of the action Phys. Rev. D 29 1663-8
28. Zhang T-R and DeWitt-Morette C 1984 WKB cross section for polarized glories of massless waves in curved space-times Phys. Rev. Lett. 52 2313-6
29. Matzner R A, DeWitt-Morette C, Nelson B and Zhang T-R 1985 Glory scattering by black holes Phys. Rev. D 31 1869-78
30. Anninos P, DeWitt-Morette C, Matzner R A, Yioutas P and Zhang T-R 1992 Orbiting cross sections: application to black hole scattering Phys. Rev. D 46 4477-94
31. Futterman J A H, Handler F A and Matzner R A 1988 Scattering from Black Holes (Cambridge: Cambridge University Press)
32. Andersson N 1995 Scattering of massless scalar waves by a Schwarzschild black hole: a phase-integral study Phys. Rev. D 52 1808-20
33. Glampedakis K and Andersson N 2001 Scattering of scalar waves by rotating black holes Class. Quantum Grav. 18 1939-66 (arXiv:gr-qc/0102100)
34. Westervelt P J 1976 Scattering of electromagnetic and gravitational waves by a static gravitational field: comparison between the classical (general-relativistic) and quantum field-theoretic results Phys. Rev. D 3 2319
35. Peters P C 1976 Differential cross sections for weak-field gravitational scattering Phys. Rev. D 13 775-77
36. Doran C J L and Lasenby A N 2002 Perturbation theory calculation of the black hole elastic scattering cross section Phys. Rev. D 66 024006 (arXiv:gr-qc/0106039)
37. Dolan S R 2008 Scattering of long-wavelength gravitational waves Phys. Rev. D 77 044004 (arXiv:0710.4252)
38. Laven P 2005 How are glories formed? Appl. Opt. 44 5675-83
39. Darwin C 1959 The gravity field of a particle Proc. R. Soc. Lond. A 249 180
40. Chandrasekhar S 1983 The Mathematical Theory of Black Holes (Oxford: Oxford University Press)
41. Berti E, Cardoso V and Casals M 2006 Eigenvalues and eigenfunctions of spin-weighted spheroidal harmonics in four and higher dimensions Phys. Rev. D 73 024013 (arXiv:gr-qc/0511111)
42. Teukolsky S A 1972 Rotating black holes: separable wave equations for gravitational and electromagnetic perturbations Phys. Rev. Lett. 29 1114-8
43. Press W H and Teukolsky S A 1973 Perturbations of a rotating black hole: II. Dynamical stability of the Kerr metric Astrophys. J. 185 649-73
44. Teukolsky S A 1973 Perturbations of a rotating black hole: I. Fundamental equations for gravitational, electromagnetic and neutrino-field perturbations Astrophys. J. 185 635-47
45. Teukolsky S A and Press W H 1974 Perturbations of a rotating black hole: III. Interaction of the hole with gravitational and electromagnetic radiation Astrophys. J. 193 443-61
46. Newman E and Penrose R 1962 An approach to gravitational radiation by a method of spin coefficients J. Math. Phys. 3 566-78
47. Seidel E 1989 A comment on the eigenvalues of spin-weighted spheroidal functions Class. Quantum Grav. 6 1057-62
48. Casals M and Ottewill A C 2005 High frequency asymptotics for the spin-weighted spheroidal equation Phys. Rev. D 71 064025 (arXiv:gr-qc/0409012)
49. Leaver E W 1985 An analytic representation for the quasi-normal modes of Kerr black holes Proc. R. Soc. Lond. A 402 285
50. Sasaki M and Nakamura T 1982 Gravitational radiation from a Kerr black hole: I. Formulation and a method for numerical analysis Prog. Theor. Phys. 67 1788
51. Hughes S A 2000 Evolution of circular, non-equatorial orbits of Kerr black holes due to gravitational wave emission Phys. Rev. D 61 084004 (arXiv:gr-qc/9910091)
52. Hughes S A 2001 Evolution of circular, non-equatorial orbits of Kerr black holes due to gravitational wave emission Phys. Rev. D 63 049902 (erratum)
53. Hughes S A 2002 Evolution of circular, non-equatorial orbits of Kerr black holes due to gravitational wave emission Phys. Rev. D 65 069902 (erratum)
54. Hughes S A 2003 Evolution of circular, non-equatorial orbits of Kerr black holes due to gravitational wave emission Phys. Rev. D 67 089901 (erratum)
55. Hughes S A 2000 Erratum: evolution of circular, nonequatorial orbits of Kerr black holes due to gravitational-wave emission (2000 Phys. Rev. D 61 084004) Phys. Rev. D at press
56. Abramowitz M and Stegun I A 1965 Handbook of Mathematical Functions with Formulas, Graphs and Mathematical Tables (New York: Dover)
57. Mano S, Suzuki H and Takasugi E 1996 Analytic solutions of the Teukolsky equation and their low frequency expansions Prog. Theor. Phys. 95 1079-96 (arXiv:gr-qc/9603020)
58. Mano S and Takasugi E 1997 Analytic solutions of the Teukolsky equation and their properties Prog. Theor. Phys. 97 213-32 (arXiv:gr-qc/9611014)
59. Sasaki M and Tagoshi H 2003 Analytic black hole perturbation approach to gravitational radiation Living Rev. Rel. 6 6 (http://www.livingreviews.org/lrr- 2003-6)
60. Poisson E and Sasaki M 1995 Gravitational radiation from a particle in a circular orbit around a black hole: V. Black-hole absorption and tail corrections Phys. Rev. D 51 5753-67 (arXiv:gr-qc/9412027)
61. Goldberg J, Macfarlane A, Newman E, Rohrlich F and Sudarshan E 1967 Spin-s spherical harmonics and Edth J. Math. Phys. 8 2155
62. Regge T and Wheeler J A 1957 Stability of a Schwarzschild singularity Phys. Rev. 108 1063-9
63. Yennie D R, Ravenhall D G and Wilson R N 1954 Phase-shift calculation of high-energy electron scattering Phys. Rev. 95 500
64. Unruh W G 1976 Absorption cross section of small black holes Phys. Rev. D 14 3251-9
65. Crispino L C B, Oliveira E S, Higuchi A and Matsas G E A 2007 Absorption cross section of electromagnetic waves for Schwarzschild black holes Phys. Rev. D 75 104012
66. Ford K W and Wheeler J A 1959 Applications of semiclassical scattering analysis Ann. Phys. 7
67. Vishveshwara C V 1970 Scattering of gravitational radiation by a Schwarzschild black hole Nature 227 936
68. Hughes S A 2000 Computing radiation from Kerr black holes: generalization of the Sasaki-Nakamura equation Phys. Rev. D 62 044029 (arXiv:gr-qc/0002043)
69. Hughes S A 2003 Computing radiation from Kerr black holes: generalization of the Sasaki-Nakamura equation Phys. Rev. D 67 089902 (erratum)
70. Newman E T and Penrose R 1966 Note on the Bondi-Metzner-Sachs group J. Math. Phys. 3 566