Matching post-Newtonian and numerical relativity waveforms: Systematic errors and a new phenomenological model for nonprecessing black hole binaries

Physical Review D - Particles, Fields, Gravitation and Cosmology

Volumn 82, Issue 6, 2010, Pages

  Santamaria L ^a   Ohme, F ^a   Ajith, P ^b   Brugmann B ^c   Dorband, N ^a   Hannam, M ^d   Husa, S ^e   Mosta P ^a   Pollney, D ^e   Reisswig, C ^b   Robinson, E L ^a   Seiler, J ^f   Krishnan, B ^a  

^a ALBERT EINSTEIN INSTITUT   (Germany)

^b CALIFORNIA INSTITUTE OF TECHNOLOGY   (United States)

^c FRIEDRICH SCHILLER UNIVERSITY JENA   (Germany)

^d UNIVERSITY OF VIENNA   (Austria)

^e UNIVERSITAT DE LES ILLES BALEARS   (Spain)

^f NASA GODDARD SPACE FLIGHT CENTER   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 78650980779     PISSN: 15507998     EISSN: 15502368     Source Type: Journal    
DOI: 10.1103/PhysRevD.82.064016     Document Type: Article

References (117)

1. B. Abbott (LIGO Scientific), Rep. Prog. Phys. 72, 076901 (2009). RPPHAG 0034-4885 10.1088/0034-4885/72/7/076901
2. F. Acernese, Classical Quantum Gravity 25, 184001 (2008). CQGRDG 0264-9381 10.1088/0264-9381/25/18/184001
3. H. Grote (LIGO Scientific), Classical Quantum Gravity 25, 114043 (2008). CQGRDG 0264-9381 10.1088/0264-9381/25/11/114043
4. D.A. Shaddock, Publ. Astron. Soc. Aust. 26, 128 (2009). PASPAU 1323-3580 10.1071/AS08059
5. M. Punturo, Classical Quantum Gravity 27, 084007 (2010). CQGRDG 0264-9381 10.1088/0264-9381/27/8/084007
6. F. Pretorius, Phys. Rev. Lett. 95, 121101 (2005). PRLTAO 0031-9007 10.1103/PhysRevLett.95.121101 (Pubitemid 41505639)
7. M. Campanelli, C.O. Lousto, P. Marronetti, and Y. Zlochower, Phys. Rev. Lett. 96, 111101 (2006). PRLTAO 0031-9007 10.1103/PhysRevLett.96.111101
8. J.G. Baker, J. Centrella, D.-I. Choi, M. Koppitz, and J. van Meter, Phys. Rev. Lett. 96, 111102 (2006). PRLTAO 0031-9007 10.1103/PhysRevLett.96.111102
9. M. Hannam, Classical Quantum Gravity 26, 114001 (2009). CQGRDG 0264-9381 10.1088/0264-9381/26/11/114001
10. Numerial INJection Analysis project, http://www.ninja-project.org.
11. I. Hinder, Classical Quantum Gravity 27, 114004 (2010). CQGRDG 0264-9381 10.1088/0264-9381/27/11/114004
12. M. Hannam, Phys. Rev. D PRVDAQ 1550-7998 79, 084025 (2009). 10.1103/PhysRevD.79.084025
13. B. Aylott, Classical Quantum Gravity 26, 165008 (2009). CQGRDG 0264-9381 10.1088/0264-9381/26/16/165008
14. B. Aylott, Classical Quantum Gravity 26, 114008 (2009). CQGRDG 0264-9381 10.1088/0264-9381/26/11/114008
15. M.A. Scheel, Phys. Rev. D PRVDAQ 1550-7998 79, 024003 (2009). 10.1103/PhysRevD.79.024003
16. A. Buonanno, G.B. Cook, and F. Pretorius, Phys. Rev. D PRVDAQ 1550-7998 75, 124018 (2007). 10.1103/PhysRevD.75.124018
17. J.G. Baker, J.R. van Meter, S.T. McWilliams, J. Centrella, and B.J. Kelly, Phys. Rev. Lett. 99, 181101 (2007). PRLTAO 0031-9007 10.1103/PhysRevLett. 99.181101 (Pubitemid 350023221)
18. M. Hannam, S. Husa, U. Sperhake, B. Bruegmann, and J.A. González, Phys. Rev. D PRVDAQ 1550-7998 77, 044020 (2008). 10.1103/PhysRevD.77.044020
19. A. Gopakumar, M. Hannam, S. Husa, and B. Brügmann, Phys. Rev. D PRVDAQ 1550-7998 78, 064026 (2008). 10.1103/PhysRevD.78.064026
20. M. Boyle, Phys. Rev. D PRVDAQ 1550-7998 76, 124038 (2007). 10.1103/PhysRevD.76.124038
21. M. Boyle, Phys. Rev. D PRVDAQ 1550-7998 78, 104020 (2008). 10.1103/PhysRevD.78.104020
22. I. Hinder, F. Herrmann, P. Laguna, and D. Shoemaker, Phys. Rev. D PRVDAQ 1550-7998 82, 024033 (2010). 10.1103/PhysRevD.82.024033
23. M. Hannam, S. Husa, B. Brügmann, and A. Gopakumar, Phys. Rev. D PRVDAQ 1550-7998 78, 104007 (2008). 10.1103/PhysRevD.78.104007
24. M. Campanelli, C.O. Lousto, H. Nakano, and Y. Zlochower, Phys. Rev. D PRVDAQ 1550-7998 79, 084010 (2009). 10.1103/PhysRevD.79.084010
25. E. Berti, Phys. Rev. D PRVDAQ 1550-7998 76, 064034 (2007). 10.1103/PhysRevD.76.064034
26. E. Berti, V. Cardoso, J.A. González, U. Sperhake, and B. Brügmann, Classical Quantum Gravity 25, 114035 (2008). CQGRDG 0264-9381 10.1088/0264-9381/25/11/114035
27. A. Buonanno and T. Damour, Phys. Rev. D PRVDAQ 0556-2821 59, 084006 (1999). 10.1103/PhysRevD.59.084006
28. A. Buonanno and T. Damour, Phys. Rev. D PRVDAQ 0556-2821 62, 064015 (2000). 10.1103/PhysRevD.62.064015 (Pubitemid 40639242)
29. T. Damour, B.R. Iyer, and B.S. Sathyaprakash, Phys. Rev. D PRVDAQ 0556-2821 57, 885 (1998). 10.1103/PhysRevD.57.885
30. T. Damour, P. Jaranowski, and G. Schäfer, Phys. Rev. D PRVDAQ 0556-2821 62, 084011 (2000). 10.1103/PhysRevD.62.084011
31. A. Buonanno, Phys. Rev. D PRVDAQ 1550-7998 76, 104049 (2007). 10.1103/PhysRevD.76.104049
32. A. Buonanno, Phys. Rev. D PRVDAQ 1550-7998 79, 124028 (2009). 10.1103/PhysRevD.79.124028
33. T. Damour, A. Nagar, E.N. Dorband, D. Pollney, and L. Rezzolla, Phys. Rev. D PRVDAQ 1550-7998 77, 084017 (2008). 10.1103/PhysRevD.77.084017
34. T. Damour, A. Nagar, M. Hannam, S. Husa, and B. Brügmann, Phys. Rev. D PRVDAQ 1550-7998 78, 044039 (2008). 10.1103/PhysRevD.78.044039
35. T. Damour and A. Nagar, Phys. Rev. D PRVDAQ 1550-7998 79, 081503 (2009). 10.1103/PhysRevD.79.081503
36. Y. Pan, Phys. Rev. D PRVDAQ 1550-7998 81, 084041 (2010). 10.1103/PhysRevD.81.084041
37. P. Ajith, Classical Quantum Gravity 24, S689 (2007). CQGRDG 0264-9381 10.1088/0264-9381/24/19/S31
38. P. Ajith, Classical Quantum Gravity 25, 114033 (2008). CQGRDG 0264-9381 10.1088/0264-9381/25/11/114033
39. P. Ajith, Phys. Rev. D PRVDAQ 1550-7998 77, 104017 (2008). 10.1103/PhysRevD.77.104017
40. P. Ajith, arXiv:0909.2867.
41. R. Sturani, arXiv:1005.0551.
42. T.A. Apostolatos, C. Cutler, G.J. Sussman, and K.S. Thorne, Phys. Rev. D PRVDAQ 0556-2821 49, 6274 (1994). 10.1103/PhysRevD.49.6274
43. B. Abbott (LIGO Scientific), Phys. Rev. D PRVDAQ 1550-7998 77, 062002 (2008). 10.1103/PhysRevD.77.062002
44. B.P. Abbott (LIGO Scientific), Phys. Rev. D PRVDAQ 1550-7998 79, 122001 (2009). 10.1103/PhysRevD.79.122001
45. B.P. Abbott (LIGO Scientific), Phys. Rev. D PRVDAQ 1550-7998 80, 047101 (2009). 10.1103/PhysRevD.80.047101
46. B. Abbott (LIGO Scientific), Phys. Rev. D PRVDAQ 1550-7998 78, 042002 (2008). 10.1103/PhysRevD.78.042002
47. C. Van Den Broeck, Phys. Rev. D PRVDAQ 1550-7998 80, 024009 (2009). 10.1103/PhysRevD.80.024009
48. B. Vaishnav, I. Hinder, F. Herrmann, and D. Shoemaker, Phys. Rev. D PRVDAQ 1550-7998 76, 084020 (2007). 10.1103/PhysRevD.76.084020
49. C. Reisswig, Phys. Rev. D PRVDAQ 1550-7998 80, 124026 (2009). 10.1103/PhysRevD.80.124026
50. M. Hannam, S. Husa, F. Ohme, D. Müller, and B. Brügmann, arXiv:1007.4789.
51. D. Pollney, C. Reisswig, L. Rezzolla, B. Szilágyi, M. Ansorg, B. Deris, P. Diener, E.N. Dorband, M. Koppitz, A. Nagar, and E. Schnetter, Phys. Rev. D PRVDAQ 1550-7998 76, 124002 (2007). 10.1103/PhysRevD.76.124002
52. L. Rezzolla, Astrophys. J. ASJOAB 0004-637X 679, 1422 (2008). 10.1086/587679
53. L. Rezzolla, Astrophys. J. 674, L29 (2008. ASJOAB 0004-637X 10.1086/528935
54. T. Chu, H.P. Pfeiffer, and M.A. Scheel, Phys. Rev. D PRVDAQ 1550-7998 80, 124051 (2009). 10.1103/PhysRevD.80.124051
55. B. Brügmann, Phys. Rev. D PRVDAQ 1550-7998 77, 024027 (2008). 10.1103/PhysRevD.77.024027
56. S. Husa, M. Hannam, J.A. González, U. Sperhake, and B. Brügmann, Phys. Rev. D PRVDAQ 1550-7998 77, 044037 (2008). 10.1103/PhysRevD.77.044037
57. D. Pollney, C. Reisswig, E. Schnetter, N. Dorband, and P. Diener, arXiv:0910.3803.
58. M.A. Scheel, H.P. Pfeiffer, L. Lindblom, L.E. Kidder, O. Rinne, and S.A. Teukolsky, Phys. Rev. D PRVDAQ 1550-7998 74, 104006 (2006). 10.1103/PhysRevD.74. 104006 (Pubitemid 44684428)
59. J.G. Baker, J. Centrella, D.-I. Choi, M. Koppitz, and J. van Meter, Phys. Rev. Lett. 96, 111102 (2006). PRLTAO 0031-9007 10.1103/PhysRevLett.96.111102
60. F. Pretorius, Classical Quantum Gravity 22, 425 (2005). CQGRDG 0264-9381 10.1088/0264-9381/22/2/014 (Pubitemid 40176094)
61. D. Pollney, C. Reisswig, N. Dorband, E. Schnetter, and P. Diener, Phys. Rev. D PRVDAQ 1550-7998 80, 121502 (2009). 10.1103/PhysRevD.80.121502
62. B. Brügmann, J.A. González, M. Hannam, S. Husa, and U. Sperhake, Phys. Rev. D PRVDAQ 1550-7998 77, 124047 (2008). 10.1103/PhysRevD.77. 124047
63. R. Penrose and W. Rindler, Spinors and Space-time: Two-spinor Calculus and Relativistic Fields (University of Cambridge Press, Cambridge, England, 1986).
64. T. Regge and J.A. Wheeler, Phys. Rev. 108, 1063 (1957). PHRVAO 0031-899X 10.1103/PhysRev.108.1063
65. F.J. Zerilli, Phys. Rev. Lett. 24, 737 (1970). PRLTAO 0031-9007 10.1103/PhysRevLett.24.737
66. A.M. Abrahams and C.R. Evans, Phys. Rev. D PRVDAQ 0556-2821 37, 318 (1988). 10.1103/PhysRevD.37.318
67. A.M. Abrahams and C.R. Evans, Phys. Rev. D PRVDAQ 0556-2821 42, 2585 (1990). 10.1103/PhysRevD.42.2585
68. C. Reisswig, N.T. Bishop, D. Pollney, and B. Szilagyi, Phys. Rev. Lett. 103, 221101 (2009). PRLTAO 0031-9007 10.1103/PhysRevLett.103.221101
69. C. Reisswig, N.T. Bishop, D. Pollney, and B. Szilagyi, Classical Quantum Gravity 27, 075014 (2010). CQGRDG 0264-9381 10.1088/0264-9381/27/7/075014
70. Waveforms are available at http://www.black-holes.org/Waveforms.html.
71. L. Blanchet, Living Rev. Relativity 9, 4 (2006). 1433-8351
72. T. Damour, B.R. Iyer, and B.S. Sathyaprakash, Phys. Rev. D PRVDAQ 0556-2821 63, 044023 (2001). 10.1103/PhysRevD.63.044023 (Pubitemid 33795852)
73. T. Damour, B.R. Iyer, and B.S. Sathyaprakash, Phys. Rev. D PRVDAQ 0556-2821 66, 027502 (2002). 10.1103/PhysRevD.66.027502
74. T. Damour, B.R. Iyer, and B.S. Sathyaprakash, Phys. Rev. D PRVDAQ 1550-7998 72, 029901 (2005). 10.1103/PhysRevD.72.029901
75. 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
76. L. Blanchet, G. Faye, B.R. Iyer, and S. Sinha, Classical Quantum Gravity 25, 165003 (2008). CQGRDG 0264-9381 10.1088/0264-9381/25/16/165003
77. K.G. Arun, A. Buonanno, G. Faye, and E. Ochsner, Phys. Rev. D PRVDAQ 1550-7998 79, 104023 (2009). 10.1103/PhysRevD.79.104023
78. T. Damour, P. Jaranowski, and G. Schäfer, Phys. Lett. B 513, 147 (2001). PYLBAJ 0370-2693 10.1016/S0370-2693(01)00642-6 (Pubitemid 32681423)
79. 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
80. A. Buonanno, Y. Chen, and T. Damour, Phys. Rev. D PRVDAQ 1550-7998 74, 104005 (2006). 10.1103/PhysRevD.74.104005 (Pubitemid 44684429)
81. L.E. Kidder, Phys. Rev. D PRVDAQ 0556-2821 52, 821 (1995). 10.1103/PhysRevD.52.821
82. L. Blanchet, A. Buonanno, and G. Faye, Phys. Rev. D PRVDAQ 1550-7998 74, 104034 (2006). 10.1103/PhysRevD.74.104034 (Pubitemid 44838424)
83. T. Damour, Phys. Rev. D PRVDAQ 0556-2821 64, 124013 (2001). 10.1103/PhysRevD.64.124013
84. E. Poisson, Phys. Rev. D PRVDAQ 0556-2821 57, 5287 (1998). 10.1103/PhysRevD.57.5287
85. G. Faye, L. Blanchet, and A. Buonanno, Phys. Rev. D PRVDAQ 1550-7998 74, 104033 (2006). 10.1103/PhysRevD.74.104033 (Pubitemid 44838425)
86. K. Alvi, Phys. Rev. D PRVDAQ 0556-2821 64, 104020 (2001). 10.1103/PhysRevD.64.104020
87. A. Buonanno, B. Iyer, E. Ochsner, Y. Pan, and B.S. Sathyaprakash, Phys. Rev. D PRVDAQ 1550-7998 80, 084043 (2009). 10.1103/PhysRevD.80.084043
88. J.S. Read, Phys. Rev. D PRVDAQ 1550-7998 79, 124033 (2009). 10.1103/PhysRevD.79.124033
89. A. Papoulis and S. Unnikrishna Pillai, Probability, Random Variables and Stochastic Processes (McGraw Hill, New York, 2002), 4th ed..
90. C.W. Helstrom, Elements of Signal Detection and Estimation (Prentice-Hall, Englewood Cliffs, NJ, 1995).
91. L. Lindblom, B.J. Owen, and D.A. Brown, Phys. Rev. D PRVDAQ 1550-7998 78, 124020 (2008). 10.1103/PhysRevD.78.124020
92. A. Stuart, K. Keith Ord, and S. Arnold, Kendall's Advanced Theory of Statistics: Volume 2A -Classical Inference and The Linear Model (Wiley, New York, 2009), 6th ed..
93. T. Damour, B.R. Iyer, and B.S. Sathyaprakash, Phys. Rev. D PRVDAQ 0556-2821 57, 885 (1998). 10.1103/PhysRevD.57.885
94. W.D. Goldberger and I.Z. Rothstein, Phys. Rev. D PRVDAQ 1550-7998 73, 104029 (2006). 10.1103/PhysRevD.73.104029
95. R.A. Porto and I.Z. Rothstein, Phys. Rev. D PRVDAQ 1550-7998 78, 044012 (2008). 10.1103/PhysRevD.78.044012
96. T.A. Oliynyk, Commun. Math. Phys. 295, 431 (2010). CMPHAY 0010-3616 10.1007/s00220-009-0931-0
97. S. Husa, J.A. González, M. Hannam, B. Brügmann, and U. Sperhake, Classical Quantum Gravity 25, 105006 (2008). CQGRDG 0264-9381 10.1088/0264-9381/25/10/105006
98. B. Walther, B. Brügmann, and D. Müller, Phys. Rev. D PRVDAQ 1550-7998 79, 124040 (2009). 10.1103/PhysRevD.79.124040
99. O. Dreyer, B. Krishnan, D. Shoemaker, and E. Schnetter, Phys. Rev. D PRVDAQ 0556-2821 67, 024018 (2003). 10.1103/PhysRevD.67.024018 (Pubitemid 44796939)
100. M. Jasiulek, Classical Quantum Gravity 26, 245008 (2009). CQGRDG 0264-9381 10.1088/0264-9381/26/24/245008
101. C. Beetle, arXiv:0808.1745.
102. A.I. Harte, Classical Quantum Gravity 25, 205008 (2008). CQGRDG 0264-9381 10.1088/0264-9381/25/20/205008
103. G. Lovelace, R. Owen, H.P. Pfeiffer, and T. Chu, Phys. Rev. D PRVDAQ 1550-7998 78, 084017 (2008). 10.1103/PhysRevD.78.084017
104. A.B. Nielsen, M. Jasiulek, B. Krishnan, and E. Schnetter, arXiv:1007.2990.
105. E. Corinaldesi and A. Papapetrou, Proc. R. Soc. Lond. A 209, 259 (1951). 1364-5021 10.1098/rspa.1951.0201
106. A. Papapetrou, Proc. R. Soc. Lond. A 209, 248 (1951). 1364-5021 10.1098/rspa.1951.0200
107. K. Kyrian and O. Semerák, Mon. Not. R. Astron. Soc. 382, 1922 (2007). MNRAA4 1365-2966 10.1111/j.1365-2966.2007.12502.x
108. A. Ashtekar and B. Krishnan, Living Rev. Relativity 1433-8351 7, 10 (2004).
109. M. Campanelli, C.O. Lousto, Y. Zlochower, B. Krishnan, and D. Merritt, Phys. Rev. D PRVDAQ 1550-7998 75, 064030 (2007). 10.1103/PhysRevD.75.064030
110. J. Abadie (LIGO Scientific Collaboration and Virgo Collaboration), arXiv:1003.2481.
111. Advanced LIGO anticipated sensitivity curves, https://dcc.ligo.org/cgi- bin/DocDB/ShowDocument?docid=2974.
112. F. Ohme (unpublished).
113. S.A. Teukolsky, Astrophys. J. 185, 635 (1973). ASJOAB 0004-637X 10.1086/152444
114. E. Berti, V. Cardoso, and C.M. Will, Phys. Rev. D PRVDAQ 1550-7998 73, 064030 (2006). 10.1103/PhysRevD.73.064030
115. E. Berti, V. Cardoso, and A.O. Starinets, Classical Quantum Gravity 26, 163001 (2009). CQGRDG 0264-9381 10.1088/0264-9381/26/16/163001
116. S.T. McWilliams, B.J. Kelly, and J.G. Baker, Phys. Rev. D PRVDAQ 1550-7998 82, 024014 (2010). 10.1103/PhysRevD.82.024014
117. L. Blanchet, A. Buonanno, and G. Faye, Phys. Rev. D PRVDAQ 1550-7998 81, 089901(E) (2010). 10.1103/PhysRevD.81.089901