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Constraining Lorentz-violating, modified dispersion relations with gravitational waves

Saeed Mirshekari1, Nicolás Yunes2,3, and Clifford M. Will1

  • 1McDonnell Center for the Space Sciences, Department of Physics, Washington University, St. Louis Missouri 63130 USA
  • 2MIT and Kavli Institute, Cambridge, Massachusetts 02139, USA
  • 3Department of Physics, Montana State University, Bozeman, Montana 59717, USA

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Phys. Rev. D 85, 024041 – Published 25 January, 2012

DOI: https://doi.org/10.1103/PhysRevD.85.024041

Abstract

Modified gravity theories generically predict a violation of Lorentz invariance, which may lead to a modified dispersion relation for propagating modes of gravitational waves. We construct a parametrized dispersion relation that can reproduce a range of known Lorentz-violating predictions and investigate their impact on the propagation of gravitational waves. A modified dispersion relation forces different wavelengths of the gravitational-wave train to travel at slightly different velocities, leading to a modified phase evolution observed at a gravitational-wave detector. We show how such corrections map to the waveform observable and to the parametrized post-Einsteinian framework, proposed to model a range of deviations from General Relativity. Given a gravitational-wave detection, the lack of evidence for such corrections could then be used to place a constraint on Lorentz violation. The constraints we obtain are tightest for dispersion relations that scale with small power of the graviton’s momentum and deteriorate for a steeper scaling.

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References (72)

  1. condD. J. Bird et al., Astrophys. J. 441, 144 (1995).
  2. LIGO, www.ligo.caltech.edu.
  3. B. Abbott et al., Rep. Prog. Phys. 72, 076901 (2009).
  4. G. M. Harry (The LIGO Scientific Collaboration), Classical Quantum Gravity 27, 084006 (2010).
  5. VIRGO, www.virgo.infn.it.
  6. Einstein Telescope, www.et-gw.eu.
  7. M. Punturo, et al., Classical Quantum Gravity 27, 194002 (2010).
  8. LISA, www.esa.int/science/lisa, http://lisa.jpl.nasa.gov.
  9. T. Prince, American Astronomical Society Meeting 202, 3701 (2003).
  10. C. M. Will, Theory and Experiment in Gravitational Physics (Cambridge University Press, Cambridge, UK, 1993).
  11. C. M. Will, Phys. Rev. D 57, 2061 (1998).
  12. N. Yunes and F. Pretorius, Phys. Rev. D 80, 122003 (2009).
  13. N. Cornish, et al., Phys. Rev. D 84, 062003 (2011).
  14. C. M. Will and N. Yunes, Classical Quantum Gravity 21, 4367 (2004).
  15. E. Berti, A. Buonanno, and C. M. Will, Phys. Rev. D 71, 084025 (2005).
  16. K. G. Arun and C. M. Will, Classical Quantum Gravity 26, 155002 (2009).
  17. D. Keppel and P. Ajith, Phys. Rev. D 82, 122001 (2010).
  18. K. Yagi and T. Tanaka, Phys. Rev. D 81, 064008 (2010).
  19. E. Berti, J. Gair, and A. Sesana, Phys. Rev. D 84, 101501 (2011).
  20. S. Biller, A. Breslin, J. Buckley, M. Catanese, M. Carson et al., Phys. Rev. Lett. 83, 2108 (1999).
  21. D. Blas and H. Sanctuary, Phys. Rev. D 84, 064004 (2011).
  22. T. Jacobson and D. Mattingly, Phys. Rev. D 70, 024003 (2004).
  23. B. Z. Foster, Phys. Rev. D 76, 084033 (2007).
  24. E. Sagi, Phys. Rev. D 81, 064031 (2010).
  25. E. Sagi, Phys. Rev. D 80, 044032 (2009).
  26. M. Hohmann, arXiv:1105.2555.
  27. N. Radicella and A. Tartaglia, in American Institute of Physics Conference Series, edited by J.-M. Alimi and A. Fuözfa (2010), Vol. 1241, pp. 1128–1133.
  28. S. Bellucci, et al., Phys. Rev. D 79, 104004 (2009).
  29. D. Müller, M. E. S. Alves, and J. C. N. de Araujo, arXiv:1103.3439.
  30. P. Pani, et al., Phys. Rev. D 84, 104035 (2011).
  31. C. de Rham and A. J. Tolley, J. Cosmol. Astropart. Phys. 2 (2006) 003.
  32. K. Yagi, et al., arXiv:1110.5950.
  33. J. D. Bekenstein, Phys. Rev. D 70, 083509 (2004).
  34. G. Amelino-Camelia, Phys. Lett. B 510, 255 (2001).
  35. J. Magueijo and L. Smolin, Phys. Rev. Lett. 88, 190403 (2002).
  36. G. Amelino-Camelia, Nature (London) 418, 34 (2002).
  37. G. Amelino-Camelia, SIGMA 2, 230 (2010).
  38. A. S. Sefiedgar, K. Nozari, and H. R. Sepangi, Phys. Lett. B 696, 119 (2011).
  39. P. Horava, J. High Energy Phys. 03 (2009) 020.
  40. P. Horava, Phys. Rev. D 79, 084008 (2009).
  41. S. I. Vacaru, arXiv:1010.5457.
  42. R. Garattini, arXiv:1102.0117.
  43. R. Garattini and G. Mandanici, Phys. Rev. D 83, 084021 (2011).
  44. R. Garattini and G. Mandanici, arXiv:1109.6563.
  45. Z. Berezhiani, D. Comelli, F. Nesti, and L. Pilo, Phys. Rev. Lett. 99, 131101 (2007).
  46. Z. Berezhiani, D. Comelli, F. Nesti, and L. Pilo, J. High Energy Phys. 07 (2008) 130.
  47. M. Bojowald and G. M. Hossain, Phys. Rev. D 77, 023508 (2008).
  48. P. R. Chouha and R. H. Brandenberger, arXiv:hep-th/0508119.
  49. R. J. Szabo, Gen. Relativ. Gravit. 42, 1 (2009).
  50. J. Collins, A. Perez, D. Sudarsky, L. Urrutia, and H. Vucetich, Phys. Rev. Lett. 93, 191301 (2004).
  51. J. Collins, A. Perez, and D. Sudarsky, arXiv:hep-th/0603002.
  52. R. Gambini, S. Rastgoo, and J. Pullin, Classical Quantum Gravity 28, 155005 (2011).
  53. S. Droz, et al., Phys. Rev. D 59, 124016 (1999).
  54. N. Yunes, et al., Phys. Rev. D 80, 084001 (2009).
  55. A. Buonanno, et al., Phys. Rev. D 80, 084043 (2009).
  56. C. M. Will, Astrophys. J. 163, 611 (1971).
  57. K. J. Nordtvedt and C. M. Will, Astrophys. J. 177, 775 (1972).
  58. C. M. Will and K. J. Nordtvedt, Astrophys. J. 177, 757 (1972).
  59. C. M. Will, Astrophys. J. 185, 31 (1973).
  60. C. M. Will, Living Rev. Relativity 9, 3 (2006), http://www.livingreviews.org/lrr-2006-3.
  61. S. Vigeland, N. Yunes, and L. Stein, Phys. Rev. D 83, 104027 (2011).
  62. C. Cutler and É. E. Flanagan, Phys. Rev. D 49, 2658 (1994).
  63. L. S. Finn and D. F. Chernoff, Phys. Rev. D 47, 2198 (1993).
  64. E. Poisson and C. M. Will, Phys. Rev. D 52, 848 (1995).
  65. C. K. Mishra, et al., Phys. Rev. D 82, 064010 (2010).
  66. L. Barack and C. Cutler, Phys. Rev. D 69, 082005 (2004).
  67. S. Hild, et al., Classical Quantum Gravity 28, 094013 (2011).
  68. Data provided by B. Sathyaprakash.
  69. Data provided by E. Berti.
  70. E. Berti, A. Buonanno, and C. M. Will, Classical Quantum Gravity 22, S943 (2005).
  71. A. Stavridis and C. M. Will, Phys. Rev. D 80, 044002 (2009).
  72. K. Yagi and T. Tanaka, Phys. Rev. D 81, 064008 (2010).

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Phys. Rev. D 85, 024041– Published 25 January, 2012
  • Received 12 October 2011
Article part of CHORUS

© 2012 American Physical Society

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