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Black-hole hair loss: Learning about binary progenitors from ringdown signals

Ioannis Kamaretsos1, Mark Hannam1, Sascha Husa2, and B. S. Sathyaprakash1

  • 1School of Physics and Astronomy, Cardiff University, Queens Building, CF24 3AA, Cardiff, United Kingdom
  • 2Departament de Física, Universitat de les Illes Balears, Crta. Valldemossa km 7.5, E-07122 Palma, Spain

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Phys. Rev. D 85, 024018 – Published 12 January, 2012

DOI: https://doi.org/10.1103/PhysRevD.85.024018

Abstract

Perturbed Kerr black holes emit gravitational radiation, which (for the practical purposes of gravitational-wave astronomy) consists of a superposition of damped sinusoids termed quasinormal modes. The frequencies and time constants of the modes depend only on the mass and spin of the black hole—a consequence of the no-hair theorem. It has been proposed that a measurement of two or more quasinormal modes could be used to confirm that the source is a black hole and to test if general relativity continues to hold in ultrastrong gravitational fields. In this paper, we propose a practical approach to testing general relativity with quasinormal modes. We will also argue that the relative amplitudes of the various quasinormal modes encode important information about the origin of the perturbation that caused them. This helps in inferring the nature of the perturbation from an observation of the emitted quasinormal modes. In particular, we will show that the relative amplitudes of the different quasinormal modes emitted in the process of the merger of a pair of nonspinning black holes can be used to measure the component masses of the progenitor binary.

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References (74)

  1. R. Kerr, Phys. Rev. Lett. 11, 237 (1963).
  2. E. Newman, K. Couch, K. Chinnapared, A. Exton, A. Parakash, and Torrence, J. Math. Phys. (N.Y.) 6, 918 (1965).
  3. W. Israel, Phys. Rev. 164, 1776 (1967).
  4. W. Israel, Commun. Math. Phys. 8, 245 (1968).
  5. B. Carter, Phys. Rev. Lett. 26, 331 (1971).
  6. S. Hawking, Commun. Math. Phys. 25, 152 (1972).
  7. D. Robinson, Phys. Rev. Lett. 34, 905 (1975).
  8. C. Vishveshwara, Nature (London) 227, 936 (1970).
  9. T. Regge and J. Wheeler, Phys. Rev. 108, 1063 (1957).
  10. C. Vishveshwara, Phys. Rev. D 1, 2870 (1970).
  11. W. Press, Astrophys. J. Lett. 170, L105 (1971).
  12. S. A. Teukolsky, Phys. Rev. Lett. 29, 1114 (1972).
  13. S. Teukolsky, Astrophys. J. 185, 635 (1973).
  14. W. Press and S. Teukolsky, Astrophys. J. 185, 649 (1973).
  15. B. F. Whiting, J. Math. Phys. (N.Y.) 30, 1301 (1989).
  16. E. Berti, V. Cardoso, and A. O. Starinets, Classical Quantum Gravity 26, 163001 (2009).
  17. O. Dreyer, B. Kelly, B. Krishnan, L. S. Finn, D. Garrison, and R. Lopez-Aleman, Classical Quantum Gravity 21, 787 (2004).
  18. E. Berti, V. Cardoso, and C. M. Will, Phys. Rev. D 73, 064030 (2006).
  19. E. Berti, J. Cardoso, V. Cardoso, and M. Cavaglia, Phys. Rev. D 76, 104044 (2007).
  20. K. Danzmann, Classical Quantum Gravity 14, 1399 (1997).
  21. M. Punturo, M. Abernathy, F. Acernese, B. Allen, N. Andersson et al., Classical Quantum Gravity 27, 194002 (2010).
  22. David Shoemaker, Advanced LIGO Anticipated Sensitivity Curves, https://dcc.ligo.org/cgi-bin/DocDB/ShowDocument?docid=2974.
  23. J. Smith (LIGO Scientific Collaboration), Classical Quantum Gravity 26, 114013 (2009).
  24. B. Abbott et al., Advanced LIGO Reference Design Tech. Report No. LIGO-M060056-08-M, 2007 [http://www.ligo.caltech.edu/docs/M/M060056-08/M060056-08.pdf].
  25. G. M. Harry and the LIGO Scientific Collaboration, Classical Quantum Gravity 27, 084006 (2010).
  26. K. G. Arun, Phys. Rev. D 74, 024025 (2006).
  27. P. Amaro-Seoane and L. Santamaria, Astrophys. J. 722, 1197 (2010).
  28. B. Brügmann et al., Phys. Rev. D 77, 024027 (2008).
  29. S. Husa, J. A. Gonzalez, M. Hannam, B. Brügmann, and U. Sperhake, Classical Quantum Gravity 25, 105006 (2008).
  30. S. Brandt and B. Brügmann, Phys. Rev. Lett. 78, 3606 (1997).
  31. J. M. Bowen and J. W. York Jr., Phys. Rev. D 21, 2047 (1980).
  32. M. Ansorg, B. Brügmann, and W. Tichy, Phys. Rev. D 70, 064011 (2004).
  33. M. Campanelli, C. O. Lousto, P. Marronetti, and Y. Zlochower, Phys. Rev. Lett. 96, 111101 (2006).
  34. J. G. Baker, J. Centrella, D.-I. Choi, M. Koppitz, and J. van Meter, Phys. Rev. Lett. 96, 111102 (2006).
  35. M. Hannam, S. Husa, D. Pollney, B. Brügmann, and N. O Murchadha, Phys. Rev. Lett. 99, 241102 (2007).
  36. M. Shibata and T. Nakamura, Phys. Rev. D 52, 5428 (1995).
  37. T. W. Baumgarte and S. L. Shapiro, Phys. Rev. D 59, 024007 (1998).
  38. S. Husa, M. Hannam, J. A. Gonzalez, U. Sperhake, and B. Brügmann, Phys. Rev. D 77, 044037 (2008).
  39. M. Hannam, S. Husa, F. Ohme, D. Muller, and B. Brügmann, Phys. Rev. D 82, 124008 (2010).
  40. E. Berti, V. Cardoso, J. Gonzalez, U. Sperhake, M. Hannam, S. Husa, and B. Brügmann, Phys. Rev. D 76, 064034 (2007).
  41. T. Damour, A. Nagar, M. Hannam, S. Husa, and B. Brügmann, Phys. Rev. D 78, 044039 (2008).
  42. C. Reisswig and D. Pollney, Classical Quantum Gravity 28, 195015 (2011).
  43. M. Hannam, S. Husa, U. Sperhake, B. Brügmann, and J. A. Gonzalez, Phys. Rev. D 77, 044020 (2008).
  44. S. Babak, M. Hannam, S. Husa, and B. F. Schutz, arXiv:0806.1591.
  45. J. A. Gonzalez, U. Sperhake, and B. Brügmann, Phys. Rev. D 79, 124006 (2009).
  46. C. O. Lousto, H. Nakano, Y. Zlochower, and M. Campanelli, Phys. Rev. Lett. 104, 211101 (2010).
  47. C. O. Lousto, H. Nakano, Y. Zlochower, and M. Campanelli, Phys. Rev. D 82, 104057 (2010).
  48. L. Kidder, Phys. Rev. D 77, 044016 (2008).
  49. D. Pollney and C. Reisswig, arXiv:1004.4209.
  50. J. Baker, A. Abrahams, P. Anninos, S. Brandt, R. Price, J. Pullin, and E. Seidel, Phys. Rev. D 55, 829 (1997).
  51. Yi Pan, Alessandra Buonanno, Michael Boyle, Luisa T. Buchman, Lawrence E. Kidder, Harald P. Pfeiffer, and Mark A. Scheel, arXiv:1106.1021v1.
  52. J. G. Baker, W. D. Boggs, J. Centrella, B. J. Kelly, S. T. McWilliams, and J. R. van Meter, Phys. Rev. D 78, 044046 (2008).
  53. J. G. Baker, S. T. McWilliams, J. R. van Meter, J. Centrella, D.-I. Choi et al., Phys. Rev. D 75, 124024 (2007).
  54. A. Buonanno, L. E. Kidder, and L. Lehner, Phys. Rev. D 77, 026004 (2008).
  55. L. Rezzolla, E. Barausse, E. Dorband, D. Pollney, C. Reisswig, J. Seiler, and S. Husa, Phys. Rev. D 78, 044002, (2008).
  56. L. Rezzolla, E. Dorband, C. Reisswig, P. Diener, D. Pollney, E. Schnetter, and B. Szilagyi, Astrophys. J. 679, 1422 (2008).
  57. L. Rezzolla, P. Diener, E. Dorband, D. Pollney, C. Reisswig, E. Schnetter, and J. Seiler, Astrophys. J. Lett. 674, L29 (2008).
  58. E. Berti, V. Cardoso, J. Gonzalez, U. Sperhake, and B. Brügmann, Classical Quantum Gravity 25, 114035 (2008).
  59. K. S. Thorne, in Three Hundred Years of Gravitation, edited by S. Hawking and W. Israel (Cambridge University Press, Cambridge, England, 1987), p. 330.
  60. S. Hild, S. Chelkowski, A. Freise, J. Franc, N. Morgado et al., Classical Quantum Gravity 27, 015003 (2010).
  61. K. Arun, S. Babak, E. Berti, N. Cornish, C. Cutler et al., Classical Quantum Gravity 26, 094027 (2009).
  62. K. Arnaud, S. Babak, J. Baker, M. Benacquista, N. Cornish et al., Classical Quantum Gravity 24, S551 (2007).
  63. S. Babak et al. (Mock LISA Data Challenge Task Force), Classical Quantum Gravity 25, 114037 (2008).
  64. L. A. Wainstein and V. D. Zubakov, Extraction of Signals from Noise (Prentice-Hall, Englewood Cliffs, NJ, 1962).
  65. L. S. Finn, Phys. Rev. D 46, 5236 (1992).
  66. R. Balasubramanian, B. S. Sathyaprakash, and S. V. Dhurandhar, Phys. Rev. D 53, 3033 (1996); 54, 1860(E) (1996).
  67. C. Cutler, Phys. Rev. D 57, 7089 (1998).
  68. K. G. Arun, B. R. Iyer, B. S. Sathyaprakash, S. Sinha, and C. Van Den Broeck, Phys. Rev. D 76, 104016 (2007).
  69. S. Nissanke, D. E. Holz, S. A. Hughes, N. Dalal, and J. L. Sievers, Astrophys. J. 725, 496 (2010).
  70. C. Van Den Broeck and A. S. Sengupta, Classical Quantum Gravity 24, 1089 (2007).
  71. A. Vecchio, Phys. Rev. D 70, 042001 (2004).
  72. R. N. Lang and S. A. Hughes, Phys. Rev. D 74, 122001 (2006); 75, 089902(E) (2007).
  73. D. Merritt and R. Ekers, Science 297, 1310 (2002).
  74. M. Vallisneri, Phys. Rev. D 77, 042001 (2008).

Outline

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Phys. Rev. D 85, 024018– Published 12 January, 2012
  • Received 6 July 2011

© 2012 American Physical Society

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