- 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

Time-dependent spherically symmetric covariant Galileons

Eugeny Babichev1,2,* and Gilles Esposito-Farèse2,†

  • 1Laboratoire de Physique Théorique d’Orsay, Bâtiment 210, Université Paris-Sud 11, F-91405 Orsay Cedex, France
  • 2UPMC-CNRS, UMR7095, Institut d’Astrophysique de Paris, 𝒢ℛεℂ𝕆, 98bis Boulevard Arago, F-75014 Paris, France

  • *eugeny.babichev@th.u-psud.fr
  • †gef@iap.fr
PDF

Phys. Rev. D 87, 044032 – Published 15 February, 2013

DOI: https://doi.org/10.1103/PhysRevD.87.044032

Abstract

We study spherically symmetric solutions of the cubic covariant Galileon model in curved spacetime in the presence of a matter source, in the test scalar field approximation. We show that a cosmological time evolution of the Galileon field gives rise to an induced matter-scalar coupling, due to the Galileon-graviton kinetic braiding, therefore the solution for the Galileon field is nontrivial even if the bare matter-scalar coupling constant is set to zero. The local solution crucially depends on the asymptotic boundary conditions, and in particular, Minkowski and de Sitter asymptotics correspond to different branches of the solution. We study the stability of these solutions, namely, the well posedness of the Cauchy problem and the positivity of energy for scalar and tensor perturbations, by diagonalizing the kinetic terms of the spin-2 and spin-0 degrees of freedom. In addition, we find that in the presence of a cosmological time evolution of the Galileon field, its kinetic mixing with the graviton leads to a friction force resulting in efficient damping of scalar perturbations within matter.

View figure in article

Article Text

References (19)

  1. G. W. Horndeski, Int. J. Theor. Phys. 10, 363 (1974).
  2. D. B. Fairlie, J. Govaerts, and A. Morozov, Nucl. Phys. B373, 214 (1992); D. B. Fairlie and J. Govaerts, J. Math. Phys. (N.Y.) 33, 3543 (1992); Phys. Lett. B 281, 49 (1992).
  3. G. R. Dvali, G. Gabadadze, and M. Porrati, Phys. Lett. B 485, 208 (2000).
  4. A. Nicolis, R. Rattazzi, and E. Trincherini, Phys. Rev. D 79, 064036 (2009).
  5. C. Deffayet, G. Esposito-Farèse, and A. Vikman, Phys. Rev. D 79, 084003 (2009).
  6. C. Deffayet, S. Deser, and G. Esposito-Farèse, Phys. Rev. D 80, 064015 (2009); 82, 061501(R) (2010).
  7. C. Deffayet, X. Gao, D. A. Steer, and G. Zahariade, Phys. Rev. D 84, 064039 (2011).
  8. E. Babichev, C. Deffayet, and R. Ziour, Int. J. Mod. Phys. D 18, 2147 (2009).
  9. C. Burrage and D. Seery, J. Cosmol. Astropart. Phys. 08 (2010) 011; P. Brax, C. Burrage, and A.-C. Davis, 09 (2011) 020; E. Babichev, C. Deffayet, and G. Esposito-Farèse, Phys. Rev. D 84, 061502(R) (2011); N. Kaloper, A. Padilla, and N. Tanahashi, J. High Energy Phys. 10 (2011) 148; A. De Felice, R. Kase, and S. Tsujikawa, Phys. Rev. D 85, 044059 (2012); E. Bellini, N. Bartolo, and S. Matarrese, J. Cosmol. Astropart. Phys. 06 (2012) 019; S. Deser and J. Franklin, Phys. Rev. D 86, 047701 (2012); C. de Rham, A. J. Tolley, and D. H. Wesley, arXiv:1208.0580 [Phys. Rev. D (to be published)]; T. Hiramatsu, W. Hu, K. Koyama, and F. Schmidt, arXiv:1209.3364; Y.-Z. Chu and M. Trodden, Phys. Rev. D 87, 024011 (2013); A. V. Belikov and W. Hu, arXiv:1212.0831.
  10. E. Babichev, C. Deffayet, and G. Esposito-Farèse, Phys. Rev. Lett. 107, 251102 (2011).
  11. C. Deffayet, O. Pujolas, I. Sawicki, and A. Vikman, J. Cosmol. Astropart. Phys. 10 (2010) 026.
  12. P. Jordan, Nature (London) 164, 637 (1949); P. JordanSchwerkraft und Weltall (Vieweg, Braunschweig, 1955); Z. Phys. 157, 112 (1959); M. Fierz, Helv. Phys. Acta 29, 128 (1956); C. Brans and R. H. Dicke, Phys. Rev. 124, 925 (1961).
  13. C. M. Will, Theory and Experiment in Gravitational Physics (Cambridge University Press, Cambridge, England, 1993).
  14. T. Damour and G. Esposito-Farèse, Classical Quantum Gravity 9, 2093 (1992); Phys. Rev. D 53, 5541 (1996).
  15. E. Babichev, Phys. Rev. D 83, 024008 (2011).
  16. J.-P. Bruneton, Phys. Rev. D 75, 085013 (2007); J.-P. Bruneton and G. Esposito-Farèse, 76, 124012 (2007).
  17. E. Babichev, V. Mukhanov, and A. Vikman, J. High Energy Phys. 02 (2008) 101.
  18. E. Babichev et al. (unpublished).
  19. S. Weinberg, Gravitation and Cosmology (John Wiley & Sons, New York, 1972).

Outline

Information

Phys. Rev. D 87, 044032– Published 15 February, 2013
  • Received 6 December 2012

© 2013 American Physical Society

Sign In to Your Journals Account

Filter

Filter

Article Lookup

Enter a citation