Post-circular expansion of eccentric binary inspirals: Fourier-domain waveforms in the stationary phase approximation

Physical Review D - Particles, Fields, Gravitation and Cosmology

Volumn 80, Issue 8, 2009, Pages

  Yunes, Nicolas ^a   Arun, K G ^b,c,d   Berti, Emanuele ^e,f   Will, Clifford M ^b,c  

^a PRINCETON UNIVERSITY   (United States)

^b WASHINGTON UNIVERSITY   (United States)

^c INSTITUT D'ASTROPHYSIQUE DE PARIS   (France)

^d UNIVERSITÉ PARIS SUD   (France)

^e UNIVERSITY OF MISSISSIPPI   (United States)

^f CALIFORNIA INSTITUTE OF TECHNOLOGY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 70449670486     PISSN: 15507998     EISSN: 15502368     Source Type: Journal    
DOI: 10.1103/PhysRevD.80.084001     Document Type: Article

References (101)

1. B.S. Sathyaprakash and B.F. Schutz, Living Rev. Relativity 1433-8351 12, 2 (2009).
2. LIGO, http://www.ligo.caltech.edu/.
3. VIRGO, http://www.virgo.infn.it/.
4. GEO600, http://www.geo600.uni-hannover.de/.
5. TAMA, http://tamago.mtk.nao.ac.jp/.
6. LISA, http://lisa.jpl.nasa.gov/.
7. http://www.et-gw.eu/.
8. P.C. Peters and J. Mathews, Phys. Rev. 131, 435 (1963). PHRVAO 0031-899X 10.1103/PhysRev.131.435
9. P.C. Peters, Phys. Rev. 136, B1224 (1964). PHRVAO 0031-899X 10.1103/PhysRev.136.B1224
10. T. Mora and C.M. Will, Phys. Rev. D PRVDAQ 0556-2821 69, 104021 (2004). 10.1103/PhysRevD.69.104021
11. L. Wen, Astrophys. J. 598, 419 (2003). ASJOAB 0004-637X 10.1086/378794 (Pubitemid 37528339)
12. R.M. O'Leary, B. Kocsis, and A. Loeb, Astrophys. J. 395, 2127 (2009). ASJOAB 0004-637X
13. P. Peters and J. Mathews, Phys. Rev. 131, 435 (1963). PHRVAO 0031-899X 10.1103/PhysRev.131.435
14. R. Wagoner and C. Will, Astrophys. J. 210, 764 (1976). ASJOAB 0004-637X 10.1086/154886
15. L. Blanchet and G. Schäfer, Mon. Not. R. Astron. Soc. MNRAA4 0035-8711 239, 845 (1989).
16. L. Blanchet and G. Schäfer, Classical Quantum Gravity CQGRDG 0264-9381 10, 2699 (1993). 10.1088/0264-9381/10/12/026
17. R. Rieth and G. Schäfer, Classical Quantum Gravity CQGRDG 0264-9381 14, 2357 (1997). 10.1088/0264-9381/14/8/029 (Pubitemid 127106722)
18. A. Gopakumar and B.R. Iyer, Phys. Rev. D PRVDAQ 0556-2821 56, 7708 (1997). 10.1103/PhysRevD.56.7708
19. K.G. Arun, L. Blanchet, B.R. Iyer, and M.S.S. Qusailah, Phys. Rev. D PRVDAQ 1550-7998 77, 064034 (2008). 10.1103/PhysRevD.77.064034
20. K.G. Arun, L. Blanchet, B.R. Iyer, and M.S.S. Qusailah, Phys. Rev. D PRVDAQ 1550-7998 77, 064035 (2008). 10.1103/PhysRevD.77.064035
21. K.G. Arun, L. Blanchet, B.R. Iyer, and S. Sinha, arXiv:0908.3854.
22. L. Blanchet, T. Damour, B.R. Iyer, C.M. Will, and A.G. Wiseman, Phys. Rev. Lett. 74, 3515 (1995). PRLTAO 0031-9007 10.1103/PhysRevLett.74.3515
23. L. Blanchet, G. Faye, B.R. Iyer, and B. Joguet, Phys. Rev. D PRVDAQ 0556-2821 65, 061501(R) (2002); 10.1103/PhysRevD.65.061501 (Pubitemid 44642010)
24. L. Blanchet G. Faye B.R. Iyer B. Joguet Phys. Rev. D PRVDAQ 1550-7998 71, 129902(E) (2005). 10.1103/PhysRevD.71.129902 (Pubitemid 44653172)
25. L. Blanchet, T. Damour, G. Esposito-Farèse, and B.R. Iyer, Phys. Rev. Lett. 93, 091101 (2004). PRLTAO 0031-9007 10.1103/PhysRevLett.93.091101
26. L. Blanchet, B.R. Iyer, C.M. Will, and A.G. Wiseman, Classical Quantum Gravity CQGRDG 0264-9381 13, 575 (1996). 10.1088/0264-9381/13/4/002 (Pubitemid 126050506)
27. K.G. Arun, L. Blanchet, B.R. Iyer, and M.S.S. Qusailah, Classical Quantum Gravity CQGRDG 0264-9381 21, 3771 (2004); 10.1088/0264-9381/21/15/010 (Pubitemid 39063542)
28. K.G. Arun L. Blanchet B.R. Iyer M.S.S. Qusailah Classical Quantum Gravity CQGRDG 0264-9381 22, 3115(E) (2005). 10.1088/0264-9381/22/14/C01 (Pubitemid 41016626)
29. L.E. Kidder, L. Blanchet, and B.R. Iyer, Classical Quantum Gravity CQGRDG 0264-9381 24, 5307 (2007). 10.1088/0264-9381/24/20/N01
30. L. Blanchet, G. Faye, B.R. Iyer, and S. Sinha, Classical Quantum Gravity CQGRDG 0264-9381 25, 165003 (2008). 10.1088/0264-9381/25/16/165003
31. T. Damour, A. Gopakumar, and B.R. Iyer, Phys. Rev. D PRVDAQ 1550-7998 70, 064028 (2004). 10.1103/PhysRevD.70.064028 (Pubitemid 44962497)
32. C. Konigsdorffer and A. Gopakumar, Phys. Rev. D PRVDAQ 1550-7998 73, 124012 (2006). 10.1103/PhysRevD.73.124012
33. K. Martel and E. Poisson, Phys. Rev. D PRVDAQ 0556-2821 60, 124008 (1999). 10.1103/PhysRevD.60.124008
34. N. Seto, Phys. Rev. Lett. 87, 251101 (2001). PRLTAO 0031-9007 10.1103/PhysRevLett.87.251101
35. M. Benacquista, arXiv:astro-ph/0106086.
36. M.J. Benacquista, Living Rev. Relativity 1433-8351 5, 2 (2002).
37. M. Tessmer and A. Gopakumar, Phys. Rev. D PRVDAQ 1550-7998 78, 084029 (2008). 10.1103/PhysRevD.78.084029
38. T. Cokelaer and D. Pathak, Classical Quantum Gravity CQGRDG 0264-9381 26, 045013 (2009). 10.1088/0264-9381/26/4/045013
39. A. Krolak, K.D. Kokkotas, and G. Schäfer, Phys. Rev. D PRVDAQ 0556-2821 52, 2089 (1995). 10.1103/PhysRevD.52.2089
40. C. Moreno-Garrido, J. Buitrago, and E. Mediavilla, Mon. Not. R. Astron. Soc. MNRAA4 0035-8711 266, 16 (1994).
41. C. Moreno-Garrido, E. Mediavilla, and J. Buitrago, Mon. Not. R. Astron. Soc. MNRAA4 0035-8711 274, 115 (1995).
42. V. Pierro, I.M. Pinto, A.D. Spallicci, E. Laserra, and F. Recano, Mon. Not. R. Astron. Soc. MNRAA4 0035-8711 325, 358 (2001). 10.1046/j.1365-8711.2001. 04442.x (Pubitemid 33696157)
43. V. Pierro, I.M. Pinto, and A.D.A.M. Spallicci, Mon. Not. R. Astron. Soc. MNRAA4 0035-8711 334, 855 (2002). 10.1046/j.1365-8711.2002.05557.x
44. C. Van Den Broeck and A. Sengupta, Classical Quantum Gravity CQGRDG 0264-9381 24, 155 (2007). 10.1088/0264-9381/24/1/009
45. K.G. Arun, B.R. Iyer, B.S. Sathyaprakash, and S. Sinha, Phys. Rev. D PRVDAQ 1550-7998 75, 124002 (2007). 10.1103/PhysRevD.75.124002
46. K.S. Thorne, in Three Hundred Years of Gravitation, edited by, S. Hawking, and, W. Israel, (Cambridge University Press, Cambridge, England, 1987), pp. 330-458.
47. M. Trias and A.M. Sintes, Phys. Rev. D PRVDAQ 1550-7998 77, 024030 (2008). 10.1103/PhysRevD.77.024030
48. B. Vaishnav, Classical Quantum Gravity CQGRDG 0264-9381 (to be published).
49. I. Berentzen, M. Preto, P. Berczik, D. Merritt, and R. Spurzem, Astrophys. J. 695, 455 (2009). ASJOAB 0004-637X 10.1088/0004-637X/695/1/455
50. C.W. Misner, K. Thorne, and J.A. Wheeler, Gravitation (W.H. Freeman & Co., San Francisco, 1973).
51. H. Goldstein, C. Pool, and J. Safko, Classical Mechanics (Addison-Wesley, Reading, MA, 2000).
52. A. Gopakumar and B.R. Iyer, Phys. Rev. D PRVDAQ 0556-2821 65, 084011 (2002). 10.1103/PhysRevD.65.084011
53. M. Abramowitz and A. Stegun, Handbook of Mathematical Functions (Dover Publications, New York, 1970).
54. T.A. Apostolatos, Phys. Rev. D PRVDAQ 0556-2821 52, 605 (1995). 10.1103/PhysRevD.52.605
55. H. Wahlquist, Gen. Relativ. Gravit. GRGVA8 0001-7701 19, 1101 (1987). 10.1007/BF00759146
56. C.M. Bender and S.A. Orszag, Advanced Mathematical Methods for Scientists and Engineers I: Asymptotic Methods and Perturbation Theory (Springer-Verlag, Berlin, 1999).
57. C. Cutler and E.E. Flanagan, Phys. Rev. D PRVDAQ 0556-2821 49, 2658 (1994). 10.1103/PhysRevD.49.2658
58. S. Droz, D.J. Knapp, E. Poisson, and B.J. Owen, Phys. Rev. D PRVDAQ 0556-2821 59, 124016 (1999). 10.1103/PhysRevD.59.124016
59. A.M. Sintes and A. Vecchio, in Rencontres de Moriond:Gravitational Waves and Experimental Gravity, edited by, J. Dumarchez, (Frontières, Paris, 2000).
60. A.M. Sintes and A. Vecchio, in Third Amaldi Conference on Gravitational Waves, edited by, S. Meshkov, AIP Conf. Ser. No. 523 (AIP, New York, 2000), p. 403.
61. T.A. Moore and R.W. Hellings, Phys. Rev. D PRVDAQ 0556-2821 65, 062001 (2002). 10.1103/PhysRevD.65.062001 (Pubitemid 44628430)
62. R.W. Hellings and T.A. Moore, Classical Quantum Gravity CQGRDG 0264-9381 20, S181 (2003). 10.1088/0264-9381/20/10/321
63. C. Van Den Broeck and A.S. Sengupta, Classical Quantum Gravity CQGRDG 0264-9381 24, 1089 (2007). 10.1088/0264-9381/24/5/005
64. K.G. Arun, B.R. Iyer, B.S. Sathyaprakash, S. Sinha, and C.V.D. Broeck, Phys. Rev. D PRVDAQ 1550-7998 76, 104016 (2007). 10.1103/PhysRevD.76.104016
65. E.K. Porter and N.J. Cornish, Phys. Rev. D PRVDAQ 1550-7998 78, 064005 (2008). 10.1103/PhysRevD.78.064005
66. K.G. Arun, A. Buonanno, G. Faye, and E. Ochsner, Phys. Rev. D PRVDAQ 1550-7998 79, 104023 (2009). 10.1103/PhysRevD.79.104023
67. E. Berti, A. Buonanno, and C.M. Will, Phys. Rev. D PRVDAQ 1550-7998 71, 084025 (2005). 10.1103/PhysRevD.71.084025
68. K.G. Arun, B.R. Iyer, B.S. Sathyaprakash, and P.A. Sundararajan, Phys. Rev. D PRVDAQ 1550-7998 71, 084008 (2005); 10.1103/PhysRevD.71.084008
69. K.G. Arun B.R. Iyer B.S. Sathyaprakash P.A. Sundararajan Phys. Rev. D PRVDAQ 1550-7998 72, 069903(E) (2005). 10.1103/PhysRevD.72.069903 (Pubitemid 43030766)
70. https://workarea.et-gw.eu/et/WG4-Astrophysics/base-sensitivity/ wg4-assumptions.pdf.
71. C. Cutler, Phys. Rev. D PRVDAQ 0556-2821 57, 7089 (1998). 10.1103/PhysRevD.57.7089
72. U. Sperhake, Phys. Rev. D PRVDAQ 1550-7998 78, 064069 (2008). 10.1103/PhysRevD.78.064069
73. I. Hinder, F. Herrmann, P. Laguna, and D. Shoemaker, arXiv:0806.1037.
74. M. Favata (private communication).
75. B. Kocsis (private communication).
76. A. Stroeer, A. Vecchio, and G. Nelemans, Astrophys. J. 633, L33 (2005). ASJOAB 0004-637X 10.1086/498147 (Pubitemid 41806242)
77. B. Willems, A. Vecchio, and V. Kalogera, Phys. Rev. Lett. 100, 041102 (2008). PRLTAO 0031-9007 10.1103/PhysRevLett.100.041102 (Pubitemid 351185674)
78. B. Willems, Astrophys. J. 665, L59 (2007). ASJOAB 0004-637X 10.1086/521049
79. P. Amaro-Seoane, Classical Quantum Gravity CQGRDG 0264-9381 24, R113 (2007). 10.1088/0264-9381/24/17/R01
80. C. Hopman and T. Alexander, Astrophys. J. 629, 362 (2005). ASJOAB 0004-637X 10.1086/431475 (Pubitemid 41695045)
81. P. Amaro-Seoane, C. Miller, and M. Freitag, Astrophys. J. 692, L50 (2009). ASJOAB 0004-637X 10.1088/0004-637X/692/1/L50
82. M. Colpi, L. Mayer, and F. Governato, Astrophys. J. 525, 720 (1999). ASJOAB 0004-637X 10.1086/307952
83. E. Berti, Classical Quantum Gravity CQGRDG 0264-9381 23, S785 (2006). 10.1088/0264-9381/23/19/S17 (Pubitemid 44424580)
84. M. Dotti, M. Colpi, and F. Haardt, Mon. Not. R. Astron. Soc. MNRAA4 0035-8711 367, 103 (2006). 10.1111/j.1365-2966.2005.09956.x
85. M. Dotti, M. Colpi, F. Haardt, and L. Mayer, Mon. Not. R. Astron. Soc. MNRAA4 0035-8711 379, 956 (2007). 10.1111/j.1365-2966.2007.12010.x
86. P. Berczik, D. Merritt, R. Spurzem, and H.-P. Bischof, Astrophys. J. 642, L21 (2006). ASJOAB 0004-637X 10.1086/504426 (Pubitemid 43937933)
87. P.J. Armitage and P. Natarajan, Astrophys. J. 634, 921 (2005). ASJOAB 0004-637X 10.1086/497108 (Pubitemid 41831133)
88. J. Cuadra, P.J. Armitage, R.D. Alexander, and M.C. Begelman, Mon. Not. R. Astron. Soc. 393, 1423 (2009). MNRAA4 0035-8711 10.1111/j.1365-2966.2008.14147. x
89. G.D. Quinlan, arXiv:astro-ph/9601092.
90. G.D. Quinlan and L. Hernquist, arXiv:astro-ph/9706298.
91. T. Matsubayashi, H. Shinkai, and T. Ebisuzaki, Astrophys. J. 614, 864 (2004). ASJOAB 0004-637X 10.1086/423796 (Pubitemid 39615047)
92. S.J. Aarseth, Astrophys. Space Sci. 285, 367 (2003). APSSBE 0004-640X 10.1023/A:1025492510715
93. D. Merritt, S. Mikkola, and A. Szell, Astrophys. J. 671, 53 (2007). ASJOAB 0004-637X 10.1086/522691
94. A. Sesana, F. Haardt, and P. Madau, Astrophys. J. 651, 392 (2006). ASJOAB 0004-637X 10.1086/507596 (Pubitemid 44967129)
95. A. Sesana, F. Haardt, and P. Madau, Astrophys. J. 660, 546 (2007). ASJOAB 0004-637X 10.1086/513016
96. A. Sesana, F. Haardt, and P. Madau, Astrophys. J. 686, 432 (2008). ASJOAB 0004-637X 10.1086/590651
97. L. Hoffman and A. Loeb, Mon. Not. R. Astron. Soc. MNRAA4 0035-8711 377, 957 (2007). 10.1111/j.1365-2966.2007.11694.x
98. M. Iwasawa, Y. Funato, and J. Makino, arXiv:0801.0859.
99. C. Cutler, D. Kennefick, and E. Poisson, Phys. Rev. D PRVDAQ 0556-2821 50, 3816 (1994). 10.1103/PhysRevD.50.3816
100. J. Levin and G. Perez-Giz, Phys. Rev. D PRVDAQ 1550-7998 79, 124013 (2009). 10.1103/PhysRevD.79.124013
101. P.G. Komorowski, S.R. Valluri, and M. Houde, Classical Quantum Gravity CQGRDG 0264-9381 26, 085001 (2009). 10.1088/0264-9381/26/8/085001