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Interacting quintessence from a variational approach. II. Derivative couplings

Christian G. Böhmer1,*, Nicola Tamanini2,†, and Matthew Wright1,‡

  • 1Department of Mathematics, University College London, Gower Street, London WC1E 6BT, United Kingdom
  • 2Institut de Physique Théorique, CEA-Saclay, F-91191 Gif-sur-Yvette, France

  • *c.boehmer@ucl.ac.uk
  • nicola.tamanini@cea.fr
  • matthew.wright.13@ucl.ac.uk

Phys. Rev. D 91, 123003 – Published 2 June, 2015

DOI: https://doi.org/10.1103/PhysRevD.91.123003

Abstract

We consider an original variational approach for building new models of quintessence interacting with dark or baryonic matter. The coupling is introduced at the Lagrangian level using a variational formulation for relativistic fluids, where the interacting term generally depends on both the dynamical degrees of freedom of the theory and their spacetime derivatives. After deriving the field equations from the action, we consider applications in the context of cosmology. Two simple models are studied using dynamical system techniques showing the interesting phenomenology arising in this framework. We find that these models contain dark energy dominated late-time attractors with early-time matter dominated epochs and also obtain a possible dynamical crossing of the phantom barrier. The formulation and results presented here complete and expand the analysis exposed in the first part of this work, where only algebraic couplings, without spacetime derivatives, were considered.

See Also

Interacting quintessence from a variational approach. I. Algebraic couplings

Christian G. Böhmer, Nicola Tamanini, and Matthew Wright
Phys. Rev. D 91, 123002 (2015)

Article Text

References (18)

  1. C. G. Boehmer, N. Tamanini, and M. Wright, preceding paper, Phys. Rev. D 91, 123002 (2015)
  2. E. Komatsu et al. (WMAP Collaboration), Astrophys. J. Suppl. Ser. 192, 18 (2011); P. A. R. Ade et al. (Planck Collaboration), Astron. Astrophys. 571, A16 (2014); A. G. Riess et al., Astrophys. J. 699, 539 (2009); H. Lampeitl et al., Mon. Not. R. Astron. Soc. 401, 2331 (2010); M. Kowalski et al. (Supernova Cosmology Project Collaboration), Astrophys. J. 686, 749 (2008).
  3. V. Pettorino, Phys. Rev. D 88, 063519 (2013); J. Q. Xia, J. Cosmol. Astropart. Phys. 11 (2013) 022; Y. H. Li and X. Zhang, Phys. Rev. D 89, 083009 (2014); W. Yang and L. Xu, 89, 083517 (2014); J. Cosmol. Astropart. Phys. 08 (2014) 034; Phys. Rev. D 90, 083532 (2014); V. Salvatelli, N. Said, M. Bruni, A. Melchiorri, and D. Wands, Phys. Rev. Lett. 113, 181301 (2014).
  4. V. Salvatelli, A. Marchini, L. Lopez-Honorez, and O. Mena, Phys. Rev. D 88, 023531 (2013); A. A. Costa, X. D. Xu, B. Wang, E. G. M. Ferreira, and E. Abdalla, 89, 103531 (2014); Y. Wang, D. Wands, G. B. Zhao, and L. Xu, 90, 023502 (2014); E. Abdalla, E. G. M. Ferreira, J. Quintin, and B. Wang, arXiv:1412.2777.
  5. Y. L. Bolotin, A. Kostenko, O. A. Lemets, and D. A. Yerokhin, Int. J. Mod. Phys. D 24, 1530007 (2015); T. Clemson, Ph.D. thesis, University of Portsmouth, 2013.
  6. T. Koivisto, Phys. Rev. D 72, 043516 (2005); J. Valiviita, E. Majerotto, and R. Maartens, J. Cosmol. Astropart. Phys. 07 (2008) 020; V. Faraoni, J. B. Dent, and E. N. Saridakis, Phys. Rev. D 90, 063510 (2014).
  7. A. Pourtsidou, C. Skordis, and E. J. Copeland, Phys. Rev. D 88, 083505 (2013); G. Ballesteros, B. Bellazzini, and L. Mercolli, J. Cosmol. Astropart. Phys. 05 (2014) 007; D. Bettoni, S. Liberati, and L. Sindoni, 11 (2011) 007; D. Bettoni and S. Liberati, arXiv:1502.06613.
  8. J. D. Brown, Classical Quantum Gravity 10, 1579 (1993).
  9. N. Tamanini, arXiv:1504.07397.
  10. E. J. Copeland, A. R. Liddle, and D. Wands, Phys. Rev. D 57, 4686 (1998).
  11. N. Tamanini, Phys. Rev. D 89, 083521 (2014).
  12. C. G. Boehmer, G. Caldera-Cabral, R. Lazkoz, and R. Maartens, Phys. Rev. D 78, 023505 (2008).
  13. C. G. Boehmer, N. Tamanini, and M. Wright (unpublished); T. S. Koivisto, E. Saridakis, and N. Tamanini (unpublished).
  14. A. Vikman, Phys. Rev. D 71, 023515 (2005); G. B. Zhao, J. Q. Xia, M. Li, B. Feng, and X. Zhang, 72, 123515 (2005); R. R. Caldwell and M. Doran, 72, 043527 (2005).
  15. P. A. R. Ade et al. (Planck Collaboration), arXiv:1502.01590.
  16. J. Ignatius, K. Kajantie, H. Kurki-Suonio, and M. Laine, Phys. Rev. D 49, 3854 (1994); H. Kurki-Suonio and M. Laine, 54, 7163 (1996).
  17. C. M. Will, Living Rev. Relativity 17, 4 (2014).
  18. J. Khoury and A. Weltman, Phys. Rev. Lett. 93, 171104 (2004); Phys. Rev. D 69, 044026 (2004).

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