Short CommunicationsNo Access

A DYNAMICAL SYSTEM APPROACH TO THE GBIG COSMOLOGY

KOUROSH NOZARI

Department of Physics, Faculty of Science and Engineering, Islamic Azad University, Sari Branch, Sari, Iran

Search for more papers by this author

and

F. KIANI

Department of Physics, Faculty of Basic Sciences, University of Mazandaran, P. O. Box 47416-95447, Babolsar, Iran

Search for more papers by this author

https://doi.org/10.1142/S0219887811005658Cited by:1 (Source: Crossref)

Abstract

We study the phase space of an extension of the normal DGP cosmology with a cosmological constant on the brane and curvature effect that is incorporated via the Gauss–Bonnet term in the bulk action. We study late-time cosmological dynamics of this scenario within a dynamical system approach. We show that the stable solution of the cosmological dynamics in this model is a de Sitter phase.

Keywords:

PACS: 04.50.-h, 95.36.+x, 98.80.-k

References

S. Perlmutteret al., Astrophys. J. 517, 565 (1999), DOI: 10.1086/307221. Crossref, Web of Science, Google Scholar
A. G. Riesset al., Astron. J. 116, 1006 (1998), DOI: 10.1086/300499. Web of Science, Google Scholar
A. D. Milleret al., Astrophys. J. Lett. 524, L1 (1999), DOI: 10.1086/312293. Crossref, Web of Science, Google Scholar
P. de Bernardiset al., Nature 404, 955 (2000), DOI: 10.1038/35010035. Crossref, Web of Science, Google Scholar
S. Hananyet al., Astrophys. J. Lett. 545, L5 (2000), DOI: 10.1086/317322. Crossref, Web of Science, Google Scholar
D. N. Spergelet al., Astrophys. J. Suppl. 148, 175 (2003), DOI: 10.1086/377226. Crossref, Web of Science, Google Scholar
L. Pageet al., Astrophys. J. Suppl. 148, 233 (2003), DOI: 10.1086/377224. Crossref, Web of Science, Google Scholar
G. Hinshaw et al. [WMAP Collaboration], preprint (2008) , arXiv: 0803.0732 . Google Scholar
D. N. Spergelet al., Astrophys. J. Suppl. 170, 377 (2007), DOI: 10.1086/513700. Crossref, Web of Science, Google Scholar
G. Hinshawet al., Astrophys. J. Suppl. 170, 288 (2007), DOI: 10.1086/513698. Crossref, Web of Science, Google Scholar
L. Pageet al., Astrophys. J. Suppl. 170, 335 (2007), DOI: 10.1086/513699. Crossref, Web of Science, Google Scholar
A. G. Reisset al., Astrophys. J. 607, 665 (2004). Crossref, Web of Science, Google Scholar
S. W. Allenet al., Mon. Not. R. Astron. Soc. 353, 457 (2004), DOI: 10.1111/j.1365-2966.2004.08080.x. Crossref, Web of Science, Google Scholar
E. Komatsuet al., Astrophys. J. Suppl. 180, 330 (2009), DOI: 10.1088/0067-0049/180/2/330. Crossref, Web of Science, Google Scholar
E. J. Copeland, M. Sami and S. Tsujikawa, Int. J. Mod. Phys. D 15, 1753 (2006). Link, Web of Science, Google Scholar
V. Sahni and A. Starobinsky, Int. J. Mod. Phys. D 15, 2105 (2006). Link, Web of Science, Google Scholar
T. Padmanabhan, Gen. Relat. Grav. 40, 529 (2008), DOI: 10.1007/s10714-007-0555-7. Crossref, Web of Science, Google Scholar
M. Sami, Curr. Sci. 97, 887 (2009). Web of Science, Google Scholar
S. Nojiri and S. D. Odintsov, Int. J. Geom. Meth. Mod. Phys. 4, 115 (2007). Link, Web of Science, Google Scholar
T. P. Sotiriou and V. Faraoni, preprint (2008) , arXiv: 0805.1726 . Google Scholar
S. Capozziello and M. Francaviglia, Gen. Relat. Grav. 40, 357 (2008), DOI: 10.1007/s10714-007-0551-y. Crossref, Web of Science, Google Scholar
R. Durrer and R. Maartens, preprint (2008) , arXiv: 0811.4132 . Google Scholar
R. Durrer and R. Maartens, Gen. Rel. Grav. 40, 301 (2008), DOI: 10.1007/s10714-007-0549-5. Crossref, Web of Science, Google Scholar
S. Capozziello and V. Salzano, preprint (2009) , arXiv: 0902.0088 . Google Scholar
S. Capozziello, M. De Laurentis and V. Faraoni, preprint (2009) , arXiv: 0909.4672 . Google Scholar
G. Dvali, G. Gabadadze and M. Porrati, Phys. Lett. B 485, 208 (2000). Crossref, Web of Science, Google Scholar
G. Dvali and G. Gabadadze, Phys. Rev. D 63, 065007 (2001), DOI: 10.1103/PhysRevD.63.065007. Crossref, Web of Science, Google Scholar
G. Dvaliet al., Phys. Rev. D 65, 024031 (2002), DOI: 10.1103/PhysRevD.65.024031. Crossref, Web of Science, Google Scholar
C. Deffayet, Phys. Lett. B 502, 199 (2001). Crossref, Web of Science, Google Scholar
C. Deffayet, G. Dvali and G. Gabadadze, Phys. Rev. D 65, 044023 (2002), DOI: 10.1103/PhysRevD.65.044023. Crossref, Web of Science, Google Scholar
A. Lue, Phys. Rep. 423, 1 (2006), DOI: 10.1016/j.physrep.2005.10.007. Crossref, Web of Science, Google Scholar
K. Koyama, Class. Quantum Grav. 24, R231 (2007), DOI: 10.1088/0264-9381/24/24/R01. Crossref, Web of Science, Google Scholar
C. de Rham and A. J. Tolley, J. Cosmol. Astropart. Phys. 0607, 004 (2006). Google Scholar
V. Sahni and Y. Shtanov, J. Cosmol. Astropart. Phys. 0311, 014 (2003). Google Scholar
A. Lue and G. D. Starkman, Phys. Rev. D 70, 101501 (2004), DOI: 10.1103/PhysRevD.70.101501. Crossref, Web of Science, Google Scholar
V. Sahni, preprint (2005) , arXiv: astro-ph/0502032 . Google Scholar
L. P. Chimentoet al., J. Cosmol. Astropart. Phys. 0609, 004 (2006). Google Scholar
R. Lazkoz, R. Maartens and E. Majerotto, Phys. Rev. D 74, 083510 (2006), DOI: 10.1103/PhysRevD.74.083510. Crossref, Web of Science, Google Scholar
R. Maartens and E. Majerotto, Phys. Rev. D 74, 023004 (2006), DOI: 10.1103/PhysRevD.74.023004. Crossref, Web of Science, Google Scholar
M. Bouhmadi-Lopez, Nucl. Phys. B 797, 78 (2008). Crossref, Web of Science, Google Scholar
K. Nozari and M. Pourghassemi, J. Cosmol. Astropart. Phys. 10, 044 (2008). Google Scholar
K. Atazadeh and H. R. Sepangi, Phys. Lett. B 643, 76 (2006). Crossref, Web of Science, Google Scholar
K. Atazadeh and H. R. Sepangi, J. Cosmol. Astropart. Phys. 0709, 020 (2007). Google Scholar
K. Atazadeh and H. R. Sepangi, J. Cosmol. Astropart. Phys. 01, 006 (2009). Google Scholar
M. Bouhmadi-Lopez, J. Cosmol. Astropart. Phys. 0911, 2009 (2009). Google Scholar
K. Nozari and F. Kiani, J. Cosmol. Astropart. Phys. 07, 010 (2009). Google Scholar
P. S. Apostolopouloset al., Phys. Rev. D 76, 084029 (2007), DOI: 10.1103/PhysRevD.76.084029. Crossref, Web of Science, Google Scholar
R.-G. Cai, H.-S. Zhang and A. Wang, Commun. Theor. Phys. 44, 948 (2005), DOI: 10.1088/6102/44/5/948. Crossref, Web of Science, Google Scholar
R. A. Brown, preprint (2007) . Google Scholar
R. A. Brownet al., J. Cosmol. Astropart. Phys. 0511, 008 (2005). Google Scholar
K. Nozari and B. Fazlpour, J. Cosmol. Astropart. Phys. 06, 032 (2008). Google Scholar
S. Nojiri, S. D. Odintsov and P. V. Tretyakov, Phys. Lett. B 651, 224 (2007). Crossref, Web of Science, Google Scholar
G. Cognolaet al., Phys. Rev. D 73, 084007 (2006), DOI: 10.1103/PhysRevD.73.084007. Crossref, Web of Science, Google Scholar
S. Nojiri and S. D. Odintsov, Phys. Lett. B 631, 1 (2005). Crossref, Web of Science, Google Scholar
S. Nojiri, S. D. Odintsov and M. Sasaki, Phys. Rev. D 71, 123509 (2005), DOI: 10.1103/PhysRevD.71.123509. Crossref, Web of Science, Google Scholar
E. N. Saridakis, Phys. Lett. B 661, 335 (2008). Crossref, Web of Science, Google Scholar
M. Alimohammadi and A. Ghalee, Phys. Rev. D 79, 063006 (2009), DOI: 10.1103/PhysRevD.79.063006. Crossref, Web of Science, Google Scholar
K. Nozari, T. Azizi and M. R. Setare, J. Cosmol. Astropart. Phys. 10, 022 (2009). Google Scholar
K. Nozari and T. Azizi, preprint (2009) , arXiv: 0911.3333 . Google Scholar
K. Nozari and N. Rashidi, J. Cosmol. Astropart. Phys. 0909, 014 (2009). Google Scholar
K. Nozari and N. Rashidi, Int. J. Theor. Phys. 48, 2800 (2009), DOI: 10.1007/s10773-009-0070-6. Crossref, Web of Science, Google Scholar
K. Nozari and N. Alipour, Europhys. Lett. 87, 69001 (2009), DOI: 10.1209/0295-5075/87/69001. Crossref, Google Scholar
M. Bouhmadi-Lopez and P. Vargas Moniz, Phys. Rev. D 78, 084019 (2008). Crossref, Web of Science, Google Scholar
M. Bouhmadi-Lopez and A. Ferrera, J. Cosmol. Astropart. Phys. 0810, 011 (2008). Google Scholar
M. Bouhmadi-Lopez and P. Vargas Moniz, AIP Conf. Proc.1122 (2009) p. 201. Google Scholar
M. Bouhmadi-Lopez, Y. Tavakoli and P. Vargas Moniz, J. Cosmol. Astropart. Phys. 1004, 016 (2010). Google Scholar
G. F. R. Ellis and M. S. Madsen, Class. Quantum Grav. 8, 667 (1991), DOI: 10.1088/0264-9381/8/4/012. Crossref, Web of Science, Google Scholar
L. P. Chimentoet al., J. Cosmol. Astropart. Phys. 0609, 004 (2006). Google Scholar
R. Lazkoz and G. León, Phys. Lett. B 638, 303 (2006). Crossref, Web of Science, Google Scholar
C. G. Boehmeret al., Phys. Rev. D 78, 023505 (2008), DOI: 10.1103/PhysRevD.78.065043. Crossref, Web of Science, Google Scholar
M. Szydlowski and O. Hrycyna, Gen. Relat. Grav. 38, 121 (2006). Crossref, Web of Science, Google Scholar
M. Szydlowski and O. Hrycyna, J. Cosmol. Astropart. Phys. 01, 039 (2009). Google Scholar
M. Szydlowski and O. Hrycyna, J. Cosmol. Astropart. Phys. 04, 026 (2009). Google Scholar
L. A. Urena-Lopez and M. J. Reyes-Ibarra, Int. J. Mod. Phys. D 18, 621 (2009). Link, Web of Science, Google Scholar