- Physical Review Journals
All JournalsPhysics Magazine
Access Provided by Xinjiang University

Physical Review D

Export citation

Export citation

Choose format for download:

Download Citation
  • Access by Xinjiang University

Anisotropic cubic curvature couplings

Quentin G. Bailey

  • Physics Department, Embry-Riddle Aeronautical University, Prescott, Arizona 86301, USA

PDF

Phys. Rev. D 94, 065029 – Published 21 September, 2016

DOI: https://doi.org/10.1103/PhysRevD.94.065029

Abstract

To complement recent work on tests of spacetime symmetry in gravity, cubic curvature couplings are studied using an effective field theory description of spacetime-symmetry breaking. The associated mass-dimension-eight coefficients for Lorentz violation studied do not result in any linearized gravity modifications and instead are revealed in the first nonlinear terms in an expansion of spacetime around a flat background. We consider effects on gravitational radiation through the energy loss of a binary system and we study two-body orbital perturbations using the post-Newtonian metric. Some effects depend on the internal structure of the source and test bodies, thereby breaking the weak equivalence principle for self-gravitating bodies. These coefficients can be measured in Solar-System tests, while binary-pulsar systems and short-range gravity tests are particularly sensitive.

View figure in article

Physics Subject Headings (PhySH)

Article Text

References (52)

  1. V. A. Kostelecký and S. Samuel, Phys. Rev. D 39, 683 (1989); V. A. Kostelecký and R. Potting, Nucl. Phys. B359, 545 (1991).
  2. For reviews, see D. M. Mattingly, Living Rev. Relativ. 8, 5 (2005); J. Tasson, Rep. Prog. Phys. 77, 062901 (2014); C. M. Will, Living Rev. Relativ. 17, 4 (2014).
  3. D. Colladay and V. A. Kostelecký, Phys. Rev. D 55, 6760 (1997); 58, 116002 (1998).
  4. V. A. Kostelecký, Phys. Rev. D 69, 105009 (2004).
  5. V. A. Kostelecký and N. Russell, Rev. Mod. Phys. 83, 11 (2011).
  6. J. B. R. Battat, J. F. Chandler, and C. W. Stubbs, Phys. Rev. Lett. 99, 241103 (2007).
  7. A. Bourgoin et al., arXiv:1607.00294.
  8. H. Müller, S.-w. Chiow, S. Herrmann, S. Chu, and K.-Y. Chung, Phys. Rev. Lett. 100, 031101 (2008); K.-Y. Chung, S.-w. Chiow, S. Herrmann, S. Chu, and H. Müller, Phys. Rev. D 80, 016002 (2009).
  9. M. A. Hohensee, S. Chu, A. Peters, and H. Müller, Phys. Rev. Lett. 106, 151102 (2011); M. A. Hohensee, H. Müller, and R. B. Wiringa111, 151102 (2013).
  10. Q. G. Bailey, R. D. Everett, and J. M. Overduin, Phys. Rev. D 88, 102001 (2013).
  11. L. Shao, Phys. Rev. D 90, 122009 (2014); Phys. Rev. Lett. 112, 111103 (2014).
  12. J. C. Long and V. A. Kostelecký, Phys. Rev. D 91, 092003 (2015).
  13. C. G. Shao, Y.-J. Tan, W.-H. Tan, S.-Q. Yang, J. Luo, and M. E. Tobar, Phys. Rev. D 91, 102007 (2015).
  14. C. G. Shao et al., Phys. Rev. Lett. 117, 071102 (2016).
  15. A. Hees, Q. G. Bailey, C. Le Poncin-Lafitte, A. Bourgoin, A. Rivoldini, B. Lamine, F. Meynadier, C. Guerlin, and P. Wolf, Phys. Rev. D 92, 064049 (2015).
  16. V. A. Kostelecký and J. D. Tasson, Phys. Lett. B 749, 551 (2015).
  17. V. A. Kostelecký and M. Mewes, Phys. Lett. B 757, 510 (2016).
  18. N. Yunes, K. Yagi, and F. Pretorius, arXiv:1603.08955.
  19. L. Iorio, Classical Quantum Gravity 29, 175007 (2012); A. Hees et al., arXiv:1509.06868; A. Hees et al.in The Thirteenth Marcel Grossmann Meeting, edited by K. Rosquist, R. T. Jantzen, and R. Ruffini (World Scientific, Singapore, 2015), p. 2357; B. Altschul et al., Adv. Space Res. 55, 501 (2015); C. Le Poncin-Lafitte, A. Hees, and S. Lambert, arXiv:1604.01663; P. Wolf and L. Blanchet, Classical Quantum Gravity 33, 035012 (2016).
  20. Q. G. Bailey and V. A. Kostelecký, Phys. Rev. D 74, 045001 (2006).
  21. Q. G. Bailey, Phys. Rev. D 80, 044004 (2009); 82, 065012 (2010); R. Tso and Q. G. Bailey, 84, 085025 (2011).
  22. V. A. Kostelecký and J. D. Tasson, Phys. Rev. Lett. 102, 010402 (2009).
  23. V. A. Kostelecký and J. D. Tasson, Phys. Rev. D 83, 016013 (2011).
  24. J. D. Tasson, Phys. Rev. D 86, 124021 (2012).
  25. Q. G. Bailey, V. A. Kostelecký, and R. Xu, Phys. Rev. D 91, 022006 (2015).
  26. R. J. Jennings, J. D. Tasson, and S. Yang, Phys. Rev. D 92, 125028 (2015).
  27. R. Bluhm, Phys. Rev. D 91, 065034 (2015).
  28. Y. Bonder, Phys. Rev. D 88, 105011 (2013); 91, 125002 (2015).
  29. Q. G. Bailey, in CPT and Lorentz Symmetry VI, edited by V. A. Kostelecký (World Scientific, Singapore, 2014).
  30. V. A. Kostelecký and S. Samuel, Phys. Rev. D 40, 1886 (1989); T. Jacobson and D. Mattingly, 64, 024028 (2001); R. Jackiw and S. Y. Pi, 68, 104012 (2003); V. A. Kostelecký and R. Potting, Gen. Relativ. Gravit. 37, 1675 (2005); Phys. Rev. D 79, 065018 (2009); R. Bluhm and V. A. Kostelecký, 71, 065008 (2005); B. Altschul, Q. G. Bailey, and V. Alan Kostelecký, 81, 065028 (2010); C. Hernaski and H. Belich, 89, 104027 (2014); A. B. Balakin and J. P. S. Lemos, Ann. Phys. (Amsterdam) 350, 454 (2014); C. Hernaski, Phys. Rev. D 90, 124036 (2014).
  31. M. D. Seifert, Phys. Rev. D 79, 124012 (2009).
  32. K. Yagi, D. Blas, N. Yunes, and E. Barausse, Phys. Rev. Lett. 112, 161101 (2014); K. Yagi, D. Blas, E. Barausse, and N. YunesPhys. Rev. D 89, 084067 (2014).
  33. K. Nordtvedt and C. M. Will, Astrophys. J. 177, 775 (1972).
  34. S. Mirshekari, N. Yunes, and C. M. Will, Phys. Rev. D 85, 024041 (2012).
  35. V. A. Kostelecký, Phys. Lett. B 701, 137 (2011); V. A. Kostelecký, N. Russell, and R. Tso, 716, 470 (2012); D. Colladay and P. McDonald, Phys. Rev. D 92, 085031 (2015); N. Russell, 91, 045008 (2015); M. Schreck, 92, 125032 (2015); 93, 105017 (2016); arXiv:1603.07452.
  36. M. V. Ostrogradski, Mem. Acad. Imp. Sci. St.-Petersbourg 4, 385 (1850).
  37. V. A. Kostelecký and M. Mewes, Phys. Rev. D 80, 015020 (2009).
  38. S. A. Fulling, R. C. King, B. G. Wybourne, and C. J. Cummins, Classical Quantum Gravity 9, 1151 (1992).

  39. To keep track of the orders involved in the expansion around a flat spacetime background, one can insert ε in front of hμν and (k˜(8))ABC in Eq. (5).

  40. Y. Nambu, Phys. Rev. Lett. 4, 380 (1960); J. Goldstone, Nuovo Cimento 19, 154 (1961); J. Goldstone, A. Salam, and S. Weinberg, Phys. Rev. 127, 965 (1962).
  41. T. C. Sisman, I. Gullu, and B. Tekin, Classical Quantum Gravity 28, 195004 (2011).
  42. C. W. Misner, K. S. Thorne, and J. A. Wheeler, Gravitation (Freeman, San Francisco, 1973).
  43. L. Blanchet and G. Faye, J. Math. Phys. (N.Y.) 41, 7675 (2000).
  44. E. Poisson and C. Will, Gravity (Cambridge University Press, Cambridge, England, 2014).
  45. M. E. Pati and C. M. Will, Phys. Rev. D 65, 104008 (2002).
  46. C. M. Will, Theory and Experiment in Gravitational Physics (Cambridge University Press, Cambridge, England, 1993).
  47. C. M. Will and A. G. Wiseman, Phys. Rev. D 54, 4813 (1996).
  48. K. Nordvedt, Phys. Rev. 169, 1017 (1968).
  49. V. B. Braginsky, C. M. Caves, and K. S. Thorne, Phys. Rev. D 15, 2047 (1977).
  50. J. K. Hoskins, R. D. Newman, R. Spero, and J. Schultz, Phys. Rev. D 32, 3084 (1985); E. Fischbach and C. Talmadge, The Search for Non-Newtonian Gravity (Springer-Verlag, Berlin, 1999); J. C. Long, H. W. Chan, A. B. Churnside, E. A. Gulbis, M. C. M. Varney, and J. C. Price, Nature (London) 421, 922 (2003); C. D. Hoyle, D. J. Kapner, B. R. Heckel, E. G. Adelberger, J. H. Gundlach, U. Schmidt, and H. E. Swanson, Phys. Rev. D 70, 042004 (2004); R. S. Decca, D. López, H. B. Chan, E. Fischbach, D. E. Krause, and C. R. Jamell, Phys. Rev. Lett. 94, 240401 (2005); D. J. Kapner, T. S. Cook, E. G. Adelberger, J. H. Gundlach, B. R. Heckel, C. D. Hoyle, and H. E. Swanson, 98, 021101 (2007); E. G. Adelberger, B. R. Heckel, S. Hoedl, C. D. Hoyle, D. J. Kapner, and A. Upadhye, 98, 131104 (2007); L. C. Tu, S.-G. Guan, J. Luo, C.-G. Shao, and L.-X. Liu, 98, 201101 (2007); S.-Q. Yang, B.-F. Zhan, Q.-L. Wang, C.-G. Shao, L.-C. Tu, W.-H. Tan, and J. Luo, 108, 081101 (2012); Y.-J. Chen, W. K. Tham, D. E. Krause, D. López, E. Fischbach, and R. S. Decca, 116, 221102 (2016); H. Yan, E. A. Housworth, H. O. Meyer, G. Visser, E. Weisman, and J. C. Long, Classical Quantum Gravity 31, 205007 (2014).
  51. V. A. Kostelecký and M. Mewes, Phys. Rev. D 66, 056005 (2002); R. Bluhm, V. A. Kostelecký, C. D. Lane, and N. Russell, 68, 125008 (2003); Phys. Rev. Lett. 88, 090801 (2002).
  52. J. S. Diaz, V. A. Kostelecký, and R. Lehnert, Phys. Rev. D 88, 071902 (2013); M. S. Berger, V. A. Kostelecký, and Z. Liu, 93, 036005 (2016).

Outline

Information

Phys. Rev. D 94, 065029– Published 21 September, 2016
  • Received 5 August 2016
Article part of CHORUS

© 2016 American Physical Society

Sign In to Your Journals Account

Filter

Filter

Article Lookup

Enter a citation