Wide binaries as a critical test of classical gravity

Regular Article - Theoretical Physics

Abstract

Modified gravity scenarios where a change of regime appears at acceleration scales a<a 0 have been proposed. Since for 1M systems the acceleration drops below a 0 at scales of around 7000 AU, a statistical survey of wide binaries with relative velocities and separations reaching 104 AU and beyond should prove useful to the above debate. We apply the proposed test to the best currently available data. Results show a constant upper limit to the relative velocities in wide binaries which is independent of separation for over three orders of magnitude, in analogy with galactic flat rotation curves in the same a<a 0 acceleration regime. Our results are suggestive of a breakdown of Kepler’s third law beyond aa 0 scales, in accordance with generic predictions of modified gravity theories designed not to require any dark matter at galactic scales and beyond.

References

  1. 1.
    C. Allen, A. Poveda, M.A. Herrera, Astron. Astrophys. 356, 529 (2000) ADSGoogle Scholar
  2. 2.
    G.W. Angus, Mon. Not. R. Astron. Soc. 387, 1481 (2008) ADSCrossRefGoogle Scholar
  3. 3.
    J. Bekenstein, Phys. Rev. D 70, 3509 (2004) Google Scholar
  4. 4.
    T. Bernal, S. Capozziello, J.C. Hidalgo, S. Mendoza, Eur. Phys. J. C 71, 1794 (2011) ADSCrossRefGoogle Scholar
  5. 5.
    J.P. Bruneton, G. Esposito-Farese, Phys. Rev. D 76, 124012 (2007) ADSCrossRefGoogle Scholar
  6. 6.
    S. Capozziello, M. De Laurentis, Phys. Rep. 509, 167 (2011) ADSCrossRefGoogle Scholar
  7. 7.
    S. Capozziello, V.F. Cardone, A. Troisi, Mon. Not. R. Astron. Soc. 375, 1423 (2007) ADSCrossRefGoogle Scholar
  8. 8.
    J. Chaname, A. Gould, Astrophys. J. 601, 289 (2004) ADSCrossRefGoogle Scholar
  9. 9.
    M.C. Chiu, C.M. Ko, Y. Tian, H.S. Zhao, Phys. Rev. D 83, 06352 (2011) CrossRefGoogle Scholar
  10. 10.
    S. Dhital, A.A. West, K.G. Stassun, J.J. Bochanski, Astron. J. 139, 2566 (2010) ADSCrossRefGoogle Scholar
  11. 11.
    C. Fabricius, E. Høg, V.V. Makarov, B.D. Mason, G.L. Wycoff, S.E. Urban, Astron. Astrophys. 384, 180 (2002) ADSCrossRefGoogle Scholar
  12. 12.
    A. Halle, H.S. Zhao, B. Li, Astrophys. J. Suppl. Ser. 177, 1 (2008) ADSCrossRefGoogle Scholar
  13. 13.
    X. Hernandez, S. Mendoza, T. Suarez, T. Bernal, Astron. Astrophys. 514, A101 (2010) ADSCrossRefGoogle Scholar
  14. 14.
    E. Høg et al., Astron. Astrophys. 357, 367 (2000) ADSGoogle Scholar
  15. 15.
    Y.F. Jiang, S. Tremaine, Mon. Not. R. Astron. Soc. 401, 977 (2010) ADSCrossRefGoogle Scholar
  16. 16.
    P. Kroupa et al., Astron. Astrophys. 523, 32 (2010) ADSCrossRefGoogle Scholar
  17. 17.
    R. Lane et al., Mon. Not. R. Astron. Soc. 406, 2732 (2010) ADSCrossRefGoogle Scholar
  18. 18.
    P.D. Mannheim, D. Kazanas, Astrophys. J. 342, 635 (1989) MathSciNetADSCrossRefGoogle Scholar
  19. 19.
    S.S. McGaugh, Phys. Rev. Lett. 106, 121303 (2011) ADSCrossRefGoogle Scholar
  20. 20.
    S. Mendoza, X. Hernandez, J.C. Hidalgo, T. Bernal, Mon. Not. R. Astron. Soc. 411, 226 (2011) ADSCrossRefGoogle Scholar
  21. 21.
    M. Milgrom, R.H. Sanders, Astrophys. J. 678, 131 (2008) ADSCrossRefGoogle Scholar
  22. 22.
    M. Milgrom, Phys. Rev. D 82, 043523 (2010) ADSCrossRefGoogle Scholar
  23. 23.
    N.R. Napolitano, S. Capozziello, A.J. Romanowsky, M. Capaccioli, C. Tortora, Astrophys. J. (2012, in press). arXiv:1201.3363
  24. 24.
    R.H. Sanders, S.S. McGaugh, Annu. Rev. Astron. Astrophys. 40, 263 (2002) ADSCrossRefGoogle Scholar
  25. 25.
    R. Scarpa, G. Marconi, R. Gimuzzi, G. Carraro, Astron. Astrophys. 462, L9 (2007) ADSCrossRefGoogle Scholar
  26. 26.
    R. Scarpa, G. Marconi, G. Carraro, R. Falomo, S. Villanova, Astron. Astrophys. 525, A148 (2011) ADSCrossRefGoogle Scholar
  27. 27.
    E.J. Shaya, R.P. Olling, Astrophys. J. Suppl. Ser. 192, 2 (2011) ADSCrossRefGoogle Scholar
  28. 28.
    C. Skordis, D.F. Mota, P.G. Ferreira, C. Boehm, Phys. Rev. Lett. 96, 011301 (2006) ADSCrossRefGoogle Scholar
  29. 29.
    Y. Sobouti, Astron. Astrophys. 464, 921 (2007) ADSMATHCrossRefGoogle Scholar
  30. 30.
    F. van Leeuwen, Astron. Astrophys. 474, 653 (2007) ADSCrossRefGoogle Scholar
  31. 31.
    H.S. Zhao, B. Famaey, Phys. Rev. D 81, 087304 (2010) ADSCrossRefGoogle Scholar

Copyright information

© Springer-Verlag / Società Italiana di Fisica 2012

Authors and Affiliations

  1. 1.Instituto de AstronomíaUniversidad Nacional Autónoma de MéxicoMéxicoMéxico

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