- Access by Xinjiang University
Phase space analysis for a scalar-tensor model with kinetic and Gauss-Bonnet couplings
Phys. Rev. D 94, 063528 – Published 27 September, 2016
DOI: https://doi.org/10.1103/PhysRevD.94.063528
Abstract
We study the phase space for a scalar-tensor string inspired model of dark energy with nonminimal kinetic and Gauss-Bonnet couplings. The form of the scalar potential and of the coupling terms is of the exponential type, which gives rise to appealing cosmological solutions. The critical points describe a variety of cosmological scenarios that go from a matter or radiation dominated universe to a dark energy dominated universe. Trajectories were found in the phase space departing from unstable or saddle fixed points and arriving at the stable scalar field dominated point corresponding to late-time accelerated expansion.
Physics Subject Headings (PhySH)
Article Text
References (38)
- A. G. Riess et al. (Supernova Search Team Collaboration), Astron. J. 116, 1009 (1998).
- S. Perlmutter et al. (Supernova Cosmology Project Collaboration), Nature (London) 391, 51 (1998).
- M. Kowalski et al. (Supernova Cosmology Project Collaboration), Astrophys. J. 686, 749 (2008).
- M. Hicken, W. M. Wood-Vasey, S. Blondin, P. Challis, S. Jha, P. L. Kelly, A. Rest, and R. P. Kirshner, Astrophys. J. 700, 1097 (2009).
- E. Komatsu et al. (WMAP Collaboration), Astrophys. J. Suppl. Ser. 180, 330 (2009).
- W. J. Percival et al. (SDSS Collaboration), Mon. Not. R. Astron. Soc. 401, 2148 (2010).
- P. J. E. Peebles and B. Ratra, Rev. Mod. Phys. 75, 559 (2003).
- T. Padmanabhan, Phys. Rep. 380, 235 (2003).
- E. J. Copeland, M. Sami, and S. Tsujikawa, Int. J. Mod. Phys. D 15, 1753 (2006).
- V. Sahni, in Proceedings, 2nd Aegean School, Ermoupolis, Greece, 2003 [Lect. Notes Phys. 653, 141 (2004)].
- S. Nojiri and S. D. Odintsov, Phys. Rep. 505, 59 (2011).
- L. Perivolaropoulos, J. Cosmol. Astropart. Phys. 10 (2005) 001.
- Y. Fujii and K. Maeda, The Scalar-Tensor Theory of Gravitation (Cambridge University Press, Cambridge, 2007).
- R. R. Metsaev and A. A. Tseytlin, Nucl. Phys. B293, 385 (1987).
- K. A. Meissner, Phys. Lett. B 392, 298 (1997).
- L. N. Granda, Mod. Phys. Lett. A 27, 1250018 (2012).
- L. N. Granda, E. Torrente-Lujan, and J. J. Fernandez-Melgarejo, Eur. Phys. J. C 71, 1704 (2011).
- S. Nojiri, S. D. Odintsov, and M. Sasaki, Phys. Rev. D 71, 123509 (2005).
- S. Tsujikawa and M. Sami, J. Cosmol. Astropart. Phys. 01 (2007) 006.
- B. M. Leith and I. P. Neupane, J. Cosmol. Astropart. Phys. 05 (2007) 019.
- T. Koivisto and D. F. Mota, Phys. Lett. B 644, 104 (2007).
- T. Koivisto and D. F. Mota, Phys. Rev. D 75, 023518 (2007).
- I. P. Neupane, Classical Quantum Gravity 23, 7493 (2006).
- S. Nojiri and S. D. Odintsov, Phys. Lett. B 631, 1 (2005).
- S. Nojiri, S. D. Odintsov, and M. Sami, Phys. Rev. D 74, 046004 (2006).
- G. Cognola, E. Elizalde, S. Nojiri, S. D. Odintsov, and S. Zerbini, Phys. Rev. D 73, 084007 (2006).
- S. Nojiri, S. D. Odintsov, and S. Ogushi, Int. J. Mod. Phys. A 17, 4809 (2002).
- S. Nojiri, S. D. Odintsov, and P. V. Tretyakov, Phys. Lett. B 651, 224 (2007).
- C. Cartier, J.-c. Hwang, and E. J. Copeland, Phys. Rev. D 64, 103504 (2001).
- L. N. Granda and E. Loaiza, Int. J. Mod. Phys. D 21, 1250002 (2012).
- L. N. Granda, Int. J. Theor. Phys. 51, 2813 (2012).
- L. N. Granda, J. Cosmol. Astropart. Phys. 07 (2010) 006.
- L. N. Granda and W. Cardona, J. Cosmol. Astropart. Phys. 07 (2010) 021.
- M. Farhoudi, Gen. Relativ. Gravit. 41, 117 (2009).
- P. G. Ferreira and M. Joyce, Phys. Rev. Lett. 79, 4740 (1997).
- C. G. Boehmer, N. Chan, and R. Lazkoz, Phys. Lett. B 714, 11 (2012).
- S. Wiggins, Introduction to Applied Nonlinear Dynamical Systems and Chaos (Springer, New York, 2003), Vol. 2.
- J. Carr, Applications of Centre Manifold Theory (Springer Science & Business Media, 2012), Vol. 35.