Astrophysics and Space Science

, Volume 356, Issue 1, pp 173–180 | Cite as

Cosmological viable f(R,T) dark energy model: dynamics and stability

  • E. H. Baffou
  • A. V. Kpadonou
  • M. E. Rodrigues
  • M. J. S. Houndjo
  • J. Tossa
Original Article

Abstract

In this paper we undertake the modified theory of gravity f(R,T), where R and T are the Ricci scalar and the trace of the energy momentum tensor, respectively. Imposing the conservation of the energy momentum tensor, we obtain a model about what dynamics and stability are studied. The stability is developed using the de Sitter and power-law solutions. The results show that the model presents stability for both the de Sitter and power-law solutions. Regarding the dynamics, cosmological solutions are obtained by integrating the background equations for both the low-redshift and high-redshift regimes and are consistent with the observational data.

Keywords

f(R,T) gravity Dynamics Stability 

References

  1. Alvarenga, F.G., de la Cruz-Dombriz, A., Houndjo, M.J.S., Rodrigues, M.E., Sáez-Gómez, D.: Phys. Rev. D 87, 103526 (2013a). arXiv:1302.1866 [gr-qc] CrossRefADSGoogle Scholar
  2. Bamba, K., Capozziello, S., Nojiri, S., Odintsov, S.D.: (2012). arXiv:1205.3421 [gr-qc]
  3. Bennett, C.L., et al.: Astrophys. J. Suppl. Ser. (2012). Accepted. arXiv:1212.5225v3 [astro-ph.CO]
  4. Boisseau, B., Esposito-Farese, G., Polarski, D., Starobinsky, A.A.: Phys. Rev. Lett. 85, 2236 (2000). arXiv:gr-qc/0001066 CrossRefADSGoogle Scholar
  5. Capozziello, S., De Laurentis, M.: Phys. Rep. 509, 167 (2011). arXiv:1108.6266 [gr-qc] CrossRefADSMathSciNetGoogle Scholar
  6. Capozziello, S., Faraoni, V.: Beyond Einstein Gravity. Fundamental Theories of Physics, vol. 170. Springer, Berlin (2010) Google Scholar
  7. Capozziello, S., Francaviglia, M.: Gen. Relativ. Gravit. 40, 357 (2008). arXiv:0706.1146 [astro-ph] CrossRefADSMATHMathSciNetGoogle Scholar
  8. Carroll, S.M., Sawicki, I., Silvestri, A., Trodden, M.: New J. Phys. 8, 323 (2006). arXiv:astro-ph/0607458 CrossRefADSMathSciNetGoogle Scholar
  9. De Felice, A., Tsujikawa, S.: Phys. Lett. B 675, 1–8 (2009). arXiv:0810.5712 [hep-th] CrossRefADSGoogle Scholar
  10. De Felice, A., Tsujikawa, S.: Living Rev. Relativ. 13, 3 (2010). arXiv:1002.4928 [gr-qc] CrossRefADSGoogle Scholar
  11. de la Cruz-Dombriz, A., Sáez-Gómez, D.: Entropy 14, 1717 (2012). arXiv:1207.2663 [gr-qc] CrossRefADSMATHMathSciNetGoogle Scholar
  12. de la Cruz-Dombriz, A., Sáez-Gómez, D.: Class. Quantum Gravity 29, 245014 (2012). arXiv:1112.4481 [gr-qc] CrossRefADSGoogle Scholar
  13. Esposito-Farese, G., Polarski, D.: Phys. Rev. D 63, 063504 (2001). arXiv:gr-qc/0009034 CrossRefADSGoogle Scholar
  14. Faraoni, V.: (2008). arXiv:0810.2602v1 [gr-qc]
  15. Haghani, Z., Harko, T., Lobo, F.S.N., Sepangi, H.R., Shahidi, S.: Phys. Rev. D 88, 044023 (2013). arXiv:1304.5957 [gr-qc] CrossRefADSGoogle Scholar
  16. Harko, T., Lobo, F.S.N., Nojiri, S., Odintsov, S.D.: Phys. Rev. D 84, 024020 (2011). arXiv:1104.2669 [gr-qc] CrossRefADSGoogle Scholar
  17. Hinshaw, G., et al.: Astrophys. J. Suppl. Ser. (2012). Submitted Google Scholar
  18. Houndjo, M.J.S.: Int. J. Mod. Phys. D 21, 1250003 (2012). arXiv:1107.3887 [astro-ph.CO] CrossRefADSMathSciNetGoogle Scholar
  19. Houndjo, M.J.S., Piattella, O.F.: Int. J. Mod. Phys. D 21, 1250024 (2012). arXiv:1111.4275 [gr.qc] CrossRefADSGoogle Scholar
  20. Jarosik, N., et al.: Seven-Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Sky Maps, Systematic Errors and Basic Results (2010) Google Scholar
  21. Lobo, F.S.N.: (2009). arXiv:0807.1640 [gr-qc]
  22. Momeni, D., Jamil, M., Myrzakulov, R.: Eur. Phys. J. C 72, 1999 (2012). arXiv:1107.5807 [physics.gen-ph] CrossRefADSGoogle Scholar
  23. Nojiri, S., Odintsov, S.D.: In: eConf C0602061, vol. 06 (2006); Int. J. Geom. Methods Mod. Phys. 4, 115 (2007). hep-th/0601213; Phys. Rep. 505, 59-144 (2011). arXiv:0807.0685 Google Scholar
  24. Odintsov, S.D., Sáez-Gómez, D.: Phys. Lett. B 725, 437–444 (2013). arXiv:1304.5411 [gr-qc] CrossRefADSMathSciNetGoogle Scholar
  25. Poplawski, N.J.: (2006). arXiv:gr-qc/0608031v2
  26. Riess, A.G., et al.: Astrophys. J. 730, 119 (2011) CrossRefADSGoogle Scholar
  27. Spergel, D.N., et al.: Astrophys. J. Suppl. Ser. 148, 175 (2003) CrossRefADSGoogle Scholar
  28. Wang, X., Tegmark, M., Jain, B., Zaldarriaga, M.: Phys. Rev. D 68, 123001 (2003) CrossRefADSGoogle Scholar
  29. Yadav, A.K.: (2014). arXiv:1311.5885 [physics.gen-ph]
  30. Zhang, P.: Phys. Rev. D 73, 123504 (2006). arXiv:astro-ph/0511218 CrossRefADSGoogle Scholar

Copyright information

© Springer Science+Business Media Dordrecht 2014

Authors and Affiliations

  • E. H. Baffou
    • 1
  • A. V. Kpadonou
    • 1
    • 2
  • M. E. Rodrigues
    • 3
  • M. J. S. Houndjo
    • 1
    • 2
  • J. Tossa
    • 1
  1. 1.Institut de Mathématiques et de Sciences Physiques (IMSP)Porto-NovoBenin
  2. 2.Ecole Normale Supérieure de NatitingouUniversité de ParakouParakouBenin
  3. 3.Faculdade de Ciências Exatas e TecnologiaUniversidade Federal do Pará – Campus Universitário de AbaetetubaParáBrazil

Personalised recommendations