Astrophysics and Space Science

, Volume 355, Issue 2, pp 381–387 | Cite as

A viable model for modified gravity

Original Article

Abstract

We propose a model for modified gravity that meets the conditions of viability. The model has stable constant curvature solution and for an special case contains flat space time solution. The model also leads to matter stability under small perturbations of scalar curvature. We give an example of restrictions on the parameters that give large enough scalaron mass to avoid detectable corrections to the Newton’s law. At large curvature the model tends to an effective cosmological constant that leads to the exponential expansion needed for inflation, and at small curvature the model gives almost constant density compatible with current observations of cosmological constant.

Keywords

Modified gravity Dark energy Cosmological constant 

Notes

Acknowledgements

This work was supported by Universidad del Valle under projects CI 7883 and CI 7890.

References

  1. Abdalla, M.C.B., Nojiri, S., Odintsov, S.D.: Class. Quantum Gravity 22, L35 (2005). hep-th/0409177 ADSCrossRefGoogle Scholar
  2. Allemandi, G., Borowiec, A., Francaviglia, M., Odintsov, S.D.: Phys. Rev. D 72, 063505 (2005). gr-qc/0504057 ADSCrossRefGoogle Scholar
  3. Appleby, S.A., Battye, R.A.: Phys. Lett. B 654, 7 (2007). arXiv:0705.3199 [astro-ph]ADSMathSciNetCrossRefGoogle Scholar
  4. Bamba, K., Nojiri, S., Odintsov, S.D.: J. Cosmol. Astropart. Phys. 0810, 045 (2008). arXiv:0807.2575 [hep-th]ADSCrossRefGoogle Scholar
  5. Bamba, K., Capozziello, S., Nojiri, S., Odintsov, S.D.: Astrophys. Space Sci. 342, 155 (2012). arXiv:1205.3421 [gr-qc]ADSCrossRefGoogle Scholar
  6. Barrow, J.D., Clifton, T.: Class. Quantum Gravity 23, L1 (2005)CrossRefGoogle Scholar
  7. Barrow, J.D., Cotsakis, S.: Phys. Lett. B 214, 515 (1988)ADSMathSciNetCrossRefGoogle Scholar
  8. Brax, P., Van de Bruck, C., Davis, A., Shaw, D.J.: Phys. Rev. D 78, 104021 (2008). arXiv:0806.3415 ADSMathSciNetCrossRefGoogle Scholar
  9. Brevik, I.: Int. J. Mod. Phys. D 15, 767 (2006). gr-qc/0601100 ADSCrossRefGoogle Scholar
  10. Brookfield, A.W., Van de Bruck, C., Hall, L.M.H.: Phys. Rev. D 74, 064028 (2006). hep-th/0608015 ADSMathSciNetCrossRefGoogle Scholar
  11. Capozziello, S.: Int. J. Mod. Phys. D 11, 483 (2002). gr-qc/0201033 ADSCrossRefGoogle Scholar
  12. Capozziello, S., De Felice, A.: J. Cosmol. Astropart. Phys. 0808, 016 (2008)ADSCrossRefGoogle Scholar
  13. Capozziello, S., Tsujikawa, S.: Phys. Rev. D 77, 107501 (2008). arXiv:0712.2268 ADSCrossRefGoogle Scholar
  14. Capozziello, S., Carloni, S., Troisi, A.: Recent Res. Dev. Astron. Astrophys. 1, 625 (2003). astro-ph/0303041 Google Scholar
  15. Capozziello, S., Cardone, V.F., Troisi, A.: Phys. Rev. D 71, 043503 (2005). astro-ph/0501426 ADSCrossRefGoogle Scholar
  16. Capozziello, S., Nojiri, S., Odintsov, S.D., Troisi, A.: Phys. Lett. B 639, 135 (2006). astro-ph/0604431 ADSCrossRefGoogle Scholar
  17. Capozziello, S., Stabile, A., Troisi, A.: Class. Quantum Gravity 24, 2153 (2007)ADSCrossRefGoogle Scholar
  18. Capozziello, S., Stabile, A., Troisi, A.: Class. Quantum Gravity 25, 085004 (2008)ADSCrossRefGoogle Scholar
  19. Carroll, S.M., Duvvuri, V., Trodden, M., Turner, M.S.: Phys. Rev. D 70, 043528 (2004). arXiv:astro-ph/0306438 ADSCrossRefGoogle Scholar
  20. Clifton, T., Barrow, J.D.: Class. Quantum Gravity 23, 2951 (2006)ADSCrossRefGoogle Scholar
  21. Cognola, G., Elizalde, E., Nojiri, S., Odintsov, S.D., Zerbini, S.: J. Cosmol. Astropart. Phys. 0502, 010 (2005). hep-th/0501096 ADSCrossRefGoogle Scholar
  22. Cognola, G., Elizalde, E., Nojiri, S., Odintsov, S.D., Sebastiani, L., Zerbini, S.: Phys. Rev. D 77, 046009 (2008). arXiv:0712.4017 [hep-th]ADSCrossRefGoogle Scholar
  23. Copeland, E.J., Sami, M., Tsujikawa, S.: Int. J. Mod. Phys. D 15, 1753–1936 (2006). arXiv:hep-th/0603057 ADSCrossRefGoogle Scholar
  24. de la Cruz-Dombriz, A., Dobado, A.: Phys. Rev. D 74, 087501 (2006). gr-qc/0607118 ADSCrossRefGoogle Scholar
  25. Elizalde, E., Nojiri, S., Odintsov, S.D., Sebastiani, L., Zerbini, S.: Phys. Rev. D 83, 086006 (2011). arXiv:1012.2280 [hep-th]ADSCrossRefGoogle Scholar
  26. Faraoni, V.: Phys. Rev. D 72, 124005 (2005). gr-qc/0511094 ADSCrossRefGoogle Scholar
  27. Hu, W., Sawicki, I.: Phys. Rev. D 76, 064004 (2007). arXiv:0705.1158 [astro-ph]ADSCrossRefGoogle Scholar
  28. Koivisto, T., Kurki-Suonio, H.: Class. Quantum Gravity 23, 2355 (2006). astro-ph/0509422 ADSCrossRefGoogle Scholar
  29. Li, B., Barrow, J.D.: Phys. Rev. D 75, 084010 (2007). gr-qc/0701111 ADSMathSciNetCrossRefGoogle Scholar
  30. Nojiri, S., Odintsov, S.D.: Phys. Lett. B 576, 5 (2003a). hep-th/0307071 ADSCrossRefGoogle Scholar
  31. Nojiri, S., Odintsov, S.D.: Phys. Rev. D 68, 123512 (2003b). arXiv:hep-th/0307288 ADSCrossRefGoogle Scholar
  32. Nojiri, S., Odintsov, S.D.: Phys. Rev. D 74, 086005 (2006). hep-th/0608008 ADSCrossRefGoogle Scholar
  33. Nojiri, S., Odintsov, S.D.: J. Phys. A 40, 6725 (2007a). hep-th/0610164 ADSCrossRefGoogle Scholar
  34. Nojiri, S., Odintsov, S.D.: Phys. Lett. B 652, 343 (2007b). arXiv:0706.1378 [hep-th]ADSCrossRefGoogle Scholar
  35. Nojiri, S., Odintsov, S.D.: Int. J. Geom. Methods Mod. Phys. 4, 115 (2007c). arXiv:hep-th/0601213 MathSciNetCrossRefGoogle Scholar
  36. Nojiri, S., Odintsov, S.D.: Phys. Lett. B 657, 238 (2007d). arXiv:0707.1941 [hep-th]ADSCrossRefGoogle Scholar
  37. Nojiri, S., Odintsov, S.D.: Phys. Rev. D 77, 046009 (2008a). arXiv:0712.4017 [hep-th]ADSCrossRefGoogle Scholar
  38. Nojiri, S., Odintsov, S.D.: Phys. Rev. D 77, 026007 (2008b). arXiv:0710.1738 [hep-th]ADSCrossRefGoogle Scholar
  39. Nojiri, S., Odintsov, S.D.: AIP Conf. Proc. 1241, 1094 (2010). arXiv:0910.1464 [hep-th]ADSCrossRefGoogle Scholar
  40. Nojiri, S., Odintsov, S.D.: Int. J. Geom. Methods Mod. Phys. 11, 1460006 (2014). arXiv:1306.4426 [gr-qc]MathSciNetCrossRefGoogle Scholar
  41. Olmo, G.J.: Phys. Rev. D 75, 023511 (2007). gr-qc/0612047 ADSMathSciNetCrossRefGoogle Scholar
  42. Padmanabhan, T.: Phys. Rep. 380, 235 (2003). hep-th/0212290 ADSMathSciNetCrossRefGoogle Scholar
  43. Sahni, V.: Lect. Notes Phys. 653, 141–180 (2004). astro-ph/0403324v3 ADSCrossRefGoogle Scholar
  44. Sotiriou, T.P., Faraoni, V.: Rev. Mod. Phys. 82, 451 (2010). arXiv:0805.1726 [gr-qc]ADSCrossRefGoogle Scholar
  45. Starobinsky, A.A.: Phys. Lett. B 91, 99 (1980)ADSCrossRefGoogle Scholar
  46. Starobinsky, A.A.: JETP Lett. 86, 157 (2007)ADSCrossRefGoogle Scholar
  47. Tsujikawa, S.: Lect. Notes Phys. 800, 99 (2010). arXiv:1101.0191 [gr-qc]ADSCrossRefGoogle Scholar

Copyright information

© Springer Science+Business Media Dordrecht 2014

Authors and Affiliations

  1. 1.Departamento de FisicaUniversidad del ValleCaliColombia

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