Table of Contents
ISRN High Energy Physics
Volume 2014, Article ID 535010, 11 pages
http://dx.doi.org/10.1155/2014/535010
Research Article

A Dark Energy Model with Higher Order Derivatives of in the Modified Gravity Model

1Department of Physics, University of Trieste, Via Valerio 2, 34127 Trieste, Italy
2Pailan College of Management and Technology, Bengal Pailan Park, Kolkata 700 104, India
3Eurasian International Center for Theoretical Physics, Eurasian National University, Astana 010008, Kazakhstan

Received 20 September 2013; Accepted 23 October 2013; Published 29 January 2014

Academic Editors: B. Bilki and C. A. D. S. Pires

Copyright © 2014 Antonio Pasqua et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Linked References

  1. D. N. Spergel, L. Verde, H. V. Peiris et al., “First-year Wilkinson Microwave Anisotropy Probe (WMAP) observations: determination of cosmological parameters,” Astrophysical Journal, Supplement Series, vol. 148, no. 1, pp. 175–194, 2003. View at Publisher · View at Google Scholar · View at Scopus
  2. S. Perlmutter, G. Aldering, G. Goldhaber et al., “Measurements of Ω and Λ from 42 high-redshift supernovae,” Astrophysical Journal Letters, vol. 517, no. 2, pp. 565–586, 1999. View at Google Scholar · View at Scopus
  3. D. Polarski, “Some views on dark energy,” in Dark Energy: Observational and Theoretical Approaches, P. Ruiz-Lapuente, Ed., Cambridge University Press, Cambridge, UK, 2010. View at Google Scholar
  4. E. J. Copeland, M. Sami, and S. Tsujikawa, “Dynamics of dark energy,” International Journal of Modern Physics D, vol. 15, no. 11, pp. 1753–1935, 2006. View at Publisher · View at Google Scholar · View at Scopus
  5. T. Padmanabhan, “Dark energy: the cosmological challenge of the millennium,” Current Science, vol. 88, no. 7, pp. 1057–1067, 2005. View at Google Scholar · View at Scopus
  6. K. Bamba, S. Capozziello, S. Nojiri, and S. D. Odintsov, “Dark energy cosmology: the equivalent description via different theoretical models and cosmography tests,” Astrophysics and Space Science, vol. 342, no. 1, pp. 155–228, 2012. View at Publisher · View at Google Scholar
  7. S. Nojiri and S. D. Odintsov, “Introduction to modified gravity and gravitational alternative for dark energy,” International Journal of Geometric Methods in Modern Physics, vol. 4, no. 1, pp. 115–145, 2007. View at Publisher · View at Google Scholar · View at Scopus
  8. T. Clifton, P. G. Ferreira, A. Padilla, and C. Skordis, “Modified gravity and cosmology,” Physics Reports, vol. 513, no. 1–3, pp. 1–189, 2012. View at Publisher · View at Google Scholar · View at Scopus
  9. S. Nojiri, S. D. Odintsov, and H. Štefančić, “Transition from a matter-dominated era to a dark energy universe,” Physical Review D, vol. 74, no. 8, Article ID 086009, 2006. View at Publisher · View at Google Scholar · View at Scopus
  10. S. Nojiri and S. D. Odintsov, “Modified f(R) gravity unifying Rm inflation with the ΛCDM epoch,” Physical Review D, vol. 77, Article ID 026007, 7 pages, 2008. View at Publisher · View at Google Scholar
  11. Y.-F. Cai, S.-H. Chen, J. B. Dent, S. Dutta, and E. N. Saridakis, “Matter bounce cosmology with the f(T) gravity,” Classical and Quantum Gravity, vol. 28, no. 21, Article ID 215011, 2011. View at Publisher · View at Google Scholar · View at Scopus
  12. R. Ferraro and F. Fiorini, “Modified teleparallel gravity: inflation without an inflaton,” Physical Review D, vol. 75, no. 8, Article ID 084031, 2007. View at Publisher · View at Google Scholar · View at Scopus
  13. K. Bamba, C.-Q. Geng, C.-C. Lee, and L.-W. Luo, “Equation of state for dark energy in f(T) gravity,” Journal of Cosmology and Astroparticle Physics, vol. 2011, no. 1, article 021, 2011. View at Publisher · View at Google Scholar · View at Scopus
  14. K. Bamba, C.-Q. Geng, and C.-C. Lee, “Comment on "einstein's other gravity and the acceleration of the universe,” Submitted, 2010, http://arxiv.org/abs/1008.4036v1.
  15. E. Kiritsis and G. Kofinas, “Hořava-Lifshitz cosmology,” Nuclear Physics B, vol. 821, no. 3, pp. 467–480, 2009. View at Publisher · View at Google Scholar · View at Scopus
  16. T. Nishioka, “Hořava-Lifshitz holography,” Classical and Quantum Gravity, vol. 26, no. 24, Article ID 242001, 2009. View at Publisher · View at Google Scholar · View at Scopus
  17. R. Myrzakulov, D. Sáez-Gómez, and A. Tureanu, “On the ΛCDM universe in f(G) gravity,” General Relativity and Gravitation, vol. 43, no. 6, pp. 1671–1684, 2011. View at Publisher · View at Google Scholar · View at Scopus
  18. A. Banijamali, B. Fazlpour, and M. R. Setare, “Energy conditions in f(G) modified gravity with non-minimal coupling to matter,” Astrophysics and Space Science, vol. 338, no. 2, pp. 327–332, 2012. View at Publisher · View at Google Scholar · View at Scopus
  19. S. Nojiri and S. D. Odintsov, “Modified Gauss-Bonnet theory as gravitational alternative for dark energy,” Physics Letters B, vol. 631, no. 1-2, pp. 1–6, 2005. View at Publisher · View at Google Scholar · View at Scopus
  20. B. Li, J. D. Barrow, and D. F. Mota, “Cosmology of modified Gauss-Bonnet gravity,” Physical Review D, vol. 76, no. 4, Article ID 044027, 2007. View at Publisher · View at Google Scholar
  21. T. P. Sotiriou and V. Faraoni, “F(R) theories of gravity,” Reviews of Modern Physics, vol. 82, no. 1, pp. 451–497, 2010. View at Publisher · View at Google Scholar · View at Scopus
  22. A. de Felice and S. Tsujikawa, “f(R) theories,” Living Reviews in Relativity, vol. 13, no. 3, 2010. View at Publisher · View at Google Scholar · View at Scopus
  23. T. P. Sotiriou, “F(R) gravity and scalar-tensor theory,” Classical and Quantum Gravity, vol. 23, article 5117, 2006. View at Publisher · View at Google Scholar · View at Scopus
  24. S. Capozziello and M. de Laurentis, “Extended theories of gravity,” Physics Reports, vol. 509, no. 4-5, pp. 167–321, 2011. View at Publisher · View at Google Scholar · View at Scopus
  25. K. Bamba and C.-Q. Geng, “Thermodynamics in F(R) gravity with phantom crossing,” Physics Letters B, vol. 679, no. 3, pp. 282–287, 2009. View at Publisher · View at Google Scholar · View at Scopus
  26. M. Akbar and R.-G. Cai, “Thermodynamic behavior of field equations for f(R) gravity,” Physics Letters B, vol. 648, no. 2-3, pp. 243–248, 2007. View at Publisher · View at Google Scholar · View at Scopus
  27. N. J. Poplawski, “A Lagrangian description of interacting dark energy,” Submitted, 2006, http://arxiv.org/abs/gr-qc/0608031.
  28. T. Harko, F. S. N. Lobo, S. Nojiri, and S. D. Odintsov, “F(R,T) gravity,” Physical Review D, vol. 84, no. 2, Article ID 024020, 2011. View at Publisher · View at Google Scholar · View at Scopus
  29. R. Myrzakulov, “Dark energy in F(R,T) gravity,” Submitted, 2012, http://arxiv.org/abs/1205.5266v2.
  30. M. Jamil, D. Momeni, and R. Myrzakulov, “Attractor solutions in f(T) cosmology,” European Physical Journal C, vol. 72, no. 3, pp. 1–10, 2012. View at Publisher · View at Google Scholar · View at Scopus
  31. S. Chattopadhyay, “A study on the interacting Ricci dark energy in f(R,T) gravity,” Proceedings of the National Academy of Sciences A, 2013. View at Publisher · View at Google Scholar
  32. A. Pasqua, S. Chattopadhyay, and I. Khomenko, “A reconstruction of modified holographic Ricci dark energy in f(R,T) gravity,” Canadian Journal of Physics, vol. 91, no. 8, pp. 632–638, 2013. View at Publisher · View at Google Scholar
  33. F. G. Alvarenga, A. de la Cruz-Dombriz, M. J. S. Houndjo, M. E. Rodrigues, and D. Saez-Gomez, “Dynamics of scalar perturbations in f(R,T) gravity,” Physical Review D, vol. 87, Article ID 103526, 9 pages, 2013. View at Publisher · View at Google Scholar
  34. S. Chen and J. Jing, “Dark energy model with higher derivative of Hubble parameter,” Physics Letters B, vol. 679, no. 2, pp. 144–150, 2009. View at Publisher · View at Google Scholar · View at Scopus
  35. M. Jamil, E. N. Saridakis, and M. R. Setare, “Thermodynamics of dark energy interacting with dark matter and radiation,” Physical Review D, vol. 81, no. 2, Article ID 023007, 2010. View at Publisher · View at Google Scholar · View at Scopus
  36. Q. Wu, Y. Gong, A. Wang, and J. S. Alcaniz, “Current constraints on interacting holographic dark energy,” Physics Letters B, vol. 659, no. 1-2, pp. 34–39, 2008. View at Publisher · View at Google Scholar · View at Scopus
  37. H. Kim, H. W. Lee, and Y. S. Myung, “Equation of state for an interacting holographic dark energy model,” Physics Letters B, vol. 632, no. 5-6, pp. 605–609, 2006. View at Publisher · View at Google Scholar · View at Scopus
  38. M. R. Setare, “Interacting holographic dark energy model and generalized second law of thermodynamics in a non-flat universe,” Journal of Cosmology and Astroparticle Physics, no. 1, article 023, 2007. View at Publisher · View at Google Scholar · View at Scopus
  39. B. Wang, Y. Gong, and E. Abdalla, “Transition of the dark energy equation of state in an interacting holographic dark energy model,” Physics Letters B, vol. 624, no. 3-4, pp. 141–146, 2005. View at Publisher · View at Google Scholar · View at Scopus
  40. K. Karami and A. Sorouri, “Interacting entropy-corrected new agegraphic dark energy in the non-flat universe,” Physica Scripta, vol. 82, no. 5, Article ID 025901, 2010. View at Google Scholar · View at Scopus
  41. A. Sheykhi, “Interacting agegraphic tachyon model of dark energy,” Physics Letters B, vol. 682, no. 4-5, pp. 329–333, 2010. View at Publisher · View at Google Scholar · View at Scopus
  42. V. Sahni, T. D. Saini, A. A. Starobinsky, and U. Alam, “Statefinder—a new geometrical diagnostic of dark energy,” Journal of Experimental and Theoretical Physics Letters, vol. 77, no. 5, pp. 201–206, 2003. View at Publisher · View at Google Scholar · View at Scopus
  43. U. Alam, V. Sahni, T. D. Saini, and A. A. Starobinsky, “Exploring the expanding universe and dark energy using the statefinder diagnostic,” Monthly Notices of the Royal Astronomical Society, vol. 344, no. 4, pp. 1057–1074, 2003. View at Publisher · View at Google Scholar · View at Scopus
  44. F. Y. Wang, Z. G. Dai, and S. Qi, “Probing the cosmographic parameters to distinguish between dark energy and modified gravity models,” Astronomy and Astrophysics, vol. 507, no. 1, pp. 53–59, 2009. View at Publisher · View at Google Scholar · View at Scopus
  45. P. Wu and H. Yu, “Observational constraints on f(T) theory,” Physics Letters B, vol. 693, no. 4, pp. 415–420, 2010. View at Publisher · View at Google Scholar · View at Scopus
  46. K. Y. Kim, H. W. Lee, and Y. S. Myung, “Instability of agegraphic dark energy models,” Physics Letters B, vol. 660, no. 3, pp. 118–124, 2008. View at Publisher · View at Google Scholar · View at Scopus
  47. Y. S. Myung, “Instability of holographic dark energy models,” Physics Letters B, vol. 652, no. 5-6, pp. 223–227, 2007. View at Publisher · View at Google Scholar · View at Scopus
  48. E. Ebrahimi and A. Sheykhi, “Instability of QCD ghost dark energy model,” International Journal of Modern Physics D, vol. 20, no. 12, pp. 2369–2381, 2011. View at Publisher · View at Google Scholar · View at Scopus
  49. M. Sharif and A. Jawad, “Cosmological evolution of interacting new holographic dark energy in non-flat universe,” The European Physical Journal C, vol. 72, article 2097, 2012. View at Publisher · View at Google Scholar
  50. A. Jawad, A. Pasqua, and S. Chattopadhyay, “Correspondence between f(G) gravity and holographic dark energy via power-law solution,” Astrophysics and Space Science, vol. 344, no. 2, pp. 489–494. View at Publisher · View at Google Scholar
  51. A. Pasqua, S. Chattopadhyay, and I. Khomenko, “On the stability and thermodynamics of the dark energy based on generalized uncertainty principle,” International Journal of Theoretical Physics, vol. 52, no. 7, pp. 2496–2507, 2013. View at Publisher · View at Google Scholar