Skip to main content

Advertisement

SpringerLink
Log in

Energy conditions in \(f(R,G)\) gravity

  • Research Article
  • Published:
General Relativity and Gravitation Aims and scope Submit manuscript

Abstract

Modified gravity is one of the most favorable candidates for explaining the current accelerating expansion of the Universe. In this regard, we study the viability of an alternative gravitational theory, namely \(f(R,G)\), by imposing energy conditions. We consider two forms of \(f(R,G)\), commonly discussed in the literature, which account for the stability of cosmological solutions. We construct the inequalities obtained by energy conditions and specifically apply the weak energy condition using the recent estimated values of the Hubble, deceleration, jerk and snap parameters to probe the viability of the above-mentioned forms of \(f(R, G)\).

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Fig. 1
Fig. 2
Fig. 3
Fig. 4
Fig. 5
Fig. 6

Similar content being viewed by others

References

  1. Hawking, S.W., Ellis, G.F.R.: The Large Scale Structure of Spacetime. Cambridge University Press, Cambridge, MA (1973)

    Book  Google Scholar 

  2. Kung, J.H.: Phys. Rev. D 52, 6922 (1995)

    Article  ADS  Google Scholar 

  3. Kung, J.H.: Phys. Rev. D 53, 3017 (1996)

    Article  ADS  Google Scholar 

  4. Perez, S.E.: Bergliaffa. Phys. Lett. B 642, 311 (2006)

    Article  ADS  MATH  MathSciNet  Google Scholar 

  5. Santos, J., Alcaniz, J.S.: Phys. Lett. B 619, 11 (2005)

    Article  ADS  Google Scholar 

  6. Visser, M.: Science 276, 88 (1997)

    Article  ADS  Google Scholar 

  7. Visser, M.: Phys. Rev. D 56, 7578 (1997)

    Article  ADS  Google Scholar 

  8. Santos, J., Alcaniz, J.S., Rebouças, M.J.: Phys. Rev. D 74, 067301 (2006)

    Article  ADS  Google Scholar 

  9. Santos, J., Alcaniz, J.S., Pires, N., Rebouças, M.J.: Phys. Rev. D 75, 083523 (2007)

    Article  ADS  MathSciNet  Google Scholar 

  10. Santos, J., Alcaniz, J.S., Reboucas, M.J., Pires, N.: Phys. Rev. D 76, 043519 (2007)

    Article  ADS  MathSciNet  Google Scholar 

  11. Atazadeh, K., Khaleghi, A., Sepangi, H.R., Tavakoli, Y.: Int. J. Mod. Phys. D 18, 1101 (2009)

    Article  ADS  MATH  MathSciNet  Google Scholar 

  12. Sharif, M., Zubair, M.: J. Phys. Soc. Jpn. 82, 014002 (2013)

    Article  ADS  Google Scholar 

  13. Santos, J., Alcaniz, J.S., Reboucas, M.J., Carvalho, F.C.: Phys. Rev. D 76, 083513 (2007)

    Article  ADS  MathSciNet  Google Scholar 

  14. García, N.M., Harko, T., Lobo, F.S.N., Mimoso, J.P.: Phys. Rev. D 83, 104032 (2011)

    Article  ADS  Google Scholar 

  15. Liu, D., Reboucas, M.J.: Phys. Rev. D 86, 083515 (2012)

    Article  ADS  Google Scholar 

  16. Alvarenga, F.G., Houndjo, M.J.S., Monwanou, A.V., Chabi Orou, J.B.: J. Mod. Phys. 4, 130 (2013)

    Article  Google Scholar 

  17. Perlmutter, S., et al.: Astrophys. J. 517, 565 (1999)

    Article  ADS  Google Scholar 

  18. Riess, A.G., et al.: Astron. J. 116, 1009 (1998)

    Article  ADS  Google Scholar 

  19. Riess, A.G., et al.: Astrophys. J. 607, 665 (2004)

    Article  ADS  Google Scholar 

  20. Grant, A., et al.: Astrophys. J. 560, 49–71 (2001)

    Article  ADS  Google Scholar 

  21. Perlmutter, S., Turner, M.S., White, M.: Phys. Rev. Lett. 83, 670–673 (1999)

    Article  ADS  Google Scholar 

  22. Bennett, C.L., et al.: Astrophys. J. Suppl. 148, 1 (2003)

    Article  ADS  Google Scholar 

  23. Copeland, E.J., Sami, M., Tsujikawa, S.: Int. J. Mod. Phys. D 15, 1753 (2006)

    Article  ADS  MATH  MathSciNet  Google Scholar 

  24. De Felice, A., Tsujikawa, S.: Living Rev. Relativ. 13, 3 (2010)

    Article  ADS  Google Scholar 

  25. Buchdahl, H.A.: Mon. Not. Roy. Astron. Soc. 150, 1 (1970)

    ADS  Google Scholar 

  26. Kerner, R.: Gen. Relativ. Gravit. 14, 453 (1982)

    Article  ADS  MathSciNet  Google Scholar 

  27. Duruisseau, J.P., Kerner, R., Eysseric, P.: Gen. Relativ. Gravit. 15, 797 (1983)

    Article  ADS  MathSciNet  Google Scholar 

  28. Barrow, J.D., Ottewill, A.C.: J. Phys. A: Math. Gen. 16, 2757 (1983)

    Article  ADS  MathSciNet  Google Scholar 

  29. Starobinsky, A.A.: Phys. Lett. B 91, 99 (1980)

    Article  ADS  Google Scholar 

  30. Sokolowski, L.M.: Class. Quant. Gravit. 24, 3391 (2007)

    Article  ADS  MATH  MathSciNet  Google Scholar 

  31. Cognola, G., Gastaldi, M., Zerbini, S.: Int. J. Theor. Phys. 47, 898 (2008)

    Article  MATH  MathSciNet  Google Scholar 

  32. Böhmer, C.G., Hollenstein, L., Lobo, F.S.N.: Phys. Rev. D 76, 084005 (2007)

    Article  ADS  MathSciNet  Google Scholar 

  33. Carloni, S., Dunsby, P.K.S., Troisi, A.: Phys. Rev. D 77, 024024 (2008)

    Article  ADS  MathSciNet  Google Scholar 

  34. Ananda, K.N., Carloni, S., Dunsby, P.K.S.: Phys. Rev. D 77, 024033 (2008)

    Article  ADS  Google Scholar 

  35. Olmo, G.J.: Phys. Rev. D75, 023511 (2007)

    ADS  MathSciNet  Google Scholar 

  36. Capozziello, S., Cardone, V.F., Troisi, A.: JCAP 0608, 001 (2006)

    Article  ADS  Google Scholar 

  37. Capozziello, S., Cardone, V.F., Troisi, A.: Mon. Not. R. Astron. Soc. 375, 1423 (2007)

    Article  ADS  Google Scholar 

  38. Borowiec, A., Godlowski, W., Szydlowski, M.: Int. J. Geom. Meth. Mod. Phys. 4, 183 (2007)

    Article  MATH  MathSciNet  Google Scholar 

  39. Martins, C.F., Salucci, P.: Mon. Not. Roy. Astron. Soc. 381, 1103 (2007)

    Article  ADS  Google Scholar 

  40. Nojiri, S., Odintsov, S.D., Sasaki, M.: Phys. Rev. D 71, 123509 (2005)

    Article  ADS  Google Scholar 

  41. Nojiri, S., Odintsov, S.D.: Int. J. Geom. Meth. Mod. Phys. 4, 115 (2007)

    Article  MATH  MathSciNet  Google Scholar 

  42. Cognola, G., Elizalde, E., Nojiri, S., Odintsov, S.D., Zerbini, S.: Phys. Rev. D 73, 084007 (2006)

    Article  ADS  Google Scholar 

  43. Nojiri, S., Odintsov, S.D., Gorbunova, O.G.: J. Phys. A: Math. Gen. 39, 6627 (2006)

    Article  ADS  MATH  MathSciNet  Google Scholar 

  44. Nojiri, S., Odintsov, S.D., Sami, M.: Phys. Rev. D 74, 046004 (2006)

    Article  ADS  Google Scholar 

  45. Nojiri, S., Odintsov, S.D.: J. Phys. Conf. Ser. 66, 012005 (2007)

    Article  ADS  Google Scholar 

  46. Cognola, G., Elizalde, E., Nojiri, S., Odintsov, S., Zerbini, S.: Phys. Rev. D 75, 086002 (2007)

    Article  ADS  MathSciNet  Google Scholar 

  47. Li, B., Barrow, J.D., Mota, D.F.: Phys. Rev. D 76, 044027 (2007)

    Article  ADS  MathSciNet  Google Scholar 

  48. De Felice, A., Tsujikawa, S.: Phys. Lett. B 675, 1 (2009)

    Article  ADS  Google Scholar 

  49. Alimohammadi, M., Ghalee, A.: Phys. Rev. D 79, 063006 (2009)

    Article  ADS  MathSciNet  Google Scholar 

  50. Boehmer, C.G., Lobo, F.S.N.: Phys. Rev. D 79, 067504 (2009)

    Article  ADS  Google Scholar 

  51. Uddin, K., Lidsey, J.E., Tavakol, R.: Gen. Relativ. Gravit. 41, 2725 (2009)

    Article  ADS  MATH  MathSciNet  Google Scholar 

  52. Zhou, S.Y., Copeland, E.J., Saffin, P.M.: JCAP 0907, 009 (2009)

    Article  ADS  Google Scholar 

  53. Goheer, N., Goswami, R., Dunsby, P.K.S., Ananda, K.: Phys. Rev. D 79, 121301 (2009)

    Article  ADS  Google Scholar 

  54. Goheer, N., Goswami, R., Dunsby, P.K.S., Ananda, K.: Phys. Lett. B 679, 302 (2009)

    Article  Google Scholar 

  55. De Felice, A., Tsujikawa, S.: Phys. Rev. D 80, 063516 (2009)

    Article  ADS  Google Scholar 

  56. Mohseni, M.: Phys. Lett. B 682, 89 (2009)

    Article  ADS  MathSciNet  Google Scholar 

  57. Sadjadi, H.M.: Europhys. Lett. 92, 50014 (2010)

    Article  Google Scholar 

  58. Bazeia, D., Carneiro da Cunha, B., Menezes, R., Petrov, A.Y.: Phys. Lett. B 649, 445 (2007)

    Article  ADS  MATH  MathSciNet  Google Scholar 

  59. Bazeia, D., Menezes, R., Petrov, A.Y.: Eur. Phys. J. C 58, 171 (2008)

    Article  ADS  MATH  MathSciNet  Google Scholar 

  60. Elizalde, E., Myrzakulov, R., Obukhov, V.V., Sáez-Gómez, D.: Class. Quant. Gravit. 27, 095007 (2010)

    Article  ADS  Google Scholar 

  61. de la Cruz-Dombriz, Á., Sáez-Gómez, D.: Class. Quant. Gravit. 29, 245014 (2012)

    Article  ADS  Google Scholar 

  62. Rapetti, D., Allen, S.W., Amin, M.A., Blandford, R.D.: Mont. Not. R. Soc. 375, 1510 (2007)

    Article  ADS  Google Scholar 

  63. Poplawski, N.J.: Class. Quant. Gravit. 24, 3013 (2007)

    Article  ADS  MATH  MathSciNet  Google Scholar 

Download references

Acknowledgments

This work has been supported financially by Research Institute for Astronomy and Astrophysics of Maragha (RIAAM) under research project No. 1/2782-58.

Author information

Authors and Affiliations

  1. Department of Physics, Azarbaijan Shahid Madani University, 53714-161 , Tabriz, Iran

    K. Atazadeh & F. Darabi

Authors
  1. K. Atazadeh
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. F. Darabi
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to K. Atazadeh.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Atazadeh, K., Darabi, F. Energy conditions in \(f(R,G)\) gravity. Gen Relativ Gravit 46, 1664 (2014). https://doi.org/10.1007/s10714-014-1664-8

Download citation

  • Received:

  • Accepted:

  • Published:

  • DOI: https://doi.org/10.1007/s10714-014-1664-8

Keywords

Search

Navigation