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Structure scalars and evolution equations in f(G) cosmology

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Abstract

In this paper, we study the dynamics of self-gravitating fluid using structure scalars for spherical geometry in the context of f(G) cosmology. We construct structure scalars through orthogonal splitting of the Riemann tensor and deduce a complete set of equations governing the evolution of dissipative anisotropic fluid in terms of these scalars. We explore different causes of density inhomogeneity which turns out to be a necessary condition for viable models. It is explicitly shown that anisotropic inhomogeneous static spherically symmetric solutions can be expressed in terms of these scalar functions.

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References

  1. Peacock, J., et al.: Nature 410, 169 (2001)

    Article  ADS  Google Scholar 

  2. Abazajian, K.N., et al.: Astrophys. J. Suppl. 182, 543 (2009)

    Article  ADS  Google Scholar 

  3. Wainwright, J.: Gen. Relativ. Gravit. 16, 657 (1984)

    Article  ADS  Google Scholar 

  4. Newmann, R.P.A.C.: Class. Quantum Gravity 3, 527 (1986)

    Article  ADS  Google Scholar 

  5. Mena, F., Tavakol, R.: Class. Quantum Gravity 16, 435 (1999)

    Article  ADS  Google Scholar 

  6. Herrera, L.: Gen. Relativ. Gravit. 35, 437 (2003)

    Article  ADS  Google Scholar 

  7. Herrera, L., Santos, N.O.: Phys. Rep. 286, 53 (1997)

    Article  ADS  MathSciNet  Google Scholar 

  8. Bohmer, G., Harko, T.: Class. Quantum Gravity 23, 6479 (2006)

    Article  ADS  Google Scholar 

  9. Mimoso, J.P., et al.: Phys. Rev. D 88, 043501 (2013)

    Article  ADS  Google Scholar 

  10. Glass, E.N.: J. Math. Phys. 20, 1508 (1979)

    Article  ADS  Google Scholar 

  11. Collins, C.B., Wainwright, J.: Phys. Rev. D 27, 120 (1983)

    Article  Google Scholar 

  12. Joshi, P., et al.: Phys. Rev. D 65, 101501 (2002)

    Article  ADS  MathSciNet  Google Scholar 

  13. Herrera, L., Santos, N.O.: Mon. Not. R. Astron. Soc. 343, 1207 (2003)

    Article  ADS  Google Scholar 

  14. Misner, C.W.: Phys. Rev. D 137, 1360 (1965)

    Article  ADS  Google Scholar 

  15. Herrera, L., Santos, N.O.: Phys. Rev. D 70, 084004 (2004)

    Article  ADS  MathSciNet  Google Scholar 

  16. Sharma, R., Tikekar, R.: Gen. Relativ. Gravit. 44, 2503 (2012)

    Article  ADS  Google Scholar 

  17. Herrera, L., et al.: Phys. Rev. D 69, 084026 (2004)

    Article  ADS  Google Scholar 

  18. Herrera, L., Di Prisco, A., Ibáñez, J.: Phys. Rev. D 87, 024014 (2013)

    Article  ADS  Google Scholar 

  19. Nojiri, S., Odintsov, S.D.: Phys. Lett. B 631, 1 (2005)

    Article  ADS  MathSciNet  Google Scholar 

  20. Sadjadi, H.M.: Phys. Scr. 83, 055006 (2011)

    Article  ADS  Google Scholar 

  21. Sharif, M., Fatima, H.I.: Astrophys. Space Sci. 354, 2124 (2014)

    Article  Google Scholar 

  22. Bamba, K., et al.: Eur. Phys. J. C 67, 295 (2010)

    Article  ADS  Google Scholar 

  23. Myrzakulov, R., Sáez-Góemz, D., Tureanu, A.: Gen. Relativ. Gravit. 43, 1671 (2011)

    Article  ADS  Google Scholar 

  24. Sharif, M., Fatima, H.I.: Astrophys. Space Sci. 353, 259 (2014)

    Article  ADS  Google Scholar 

  25. Sharif, M., Fatima, H.I.: Mod. Phys. Lett. A 30, 1550142 (2015)

    Article  ADS  MathSciNet  Google Scholar 

  26. Sharif, M., Fatima, H.I.: Astrophys. Space Sci. 361, 127 (2016)

    Article  ADS  Google Scholar 

  27. Sharif, M., Fatima, H.I.: Int. J. Mod. Phys. D 25, 1650011 (2016)

    Article  ADS  Google Scholar 

  28. Sharif, M., Fatima, H.I.: J. Exp. Theor. Phys. 149, 121 (2016)

    Google Scholar 

  29. Sharif, M., Fatima, H.I.: Int. J. Mod. Phys. D 25, 1650083 (2016)

    Article  ADS  Google Scholar 

  30. Bel, L.: Ann. Inst. H Poincaré 17, 37 (1961)

    MathSciNet  Google Scholar 

  31. Herrera, L., Ospino, J., Di Prisco, A., Fuenmayor, E., Troconis, O.: Phys. Rev. D 79, 064025 (2009)

    Article  ADS  MathSciNet  Google Scholar 

  32. Sharif, M., Manzoor, R.: Gen. Relativ. Gravit. 47, 98 (2015)

    Article  ADS  Google Scholar 

  33. Sharif, M., Manzoor, R.: Phys. Rev. D 91, 024018 (2015)

    Article  ADS  MathSciNet  Google Scholar 

  34. Sharif, M., Manzoor, R.: Astrophys. Space Sci. 359, 17 (2015)

    Article  ADS  Google Scholar 

  35. Sharif, M., Bhatti, M.Z.: Gen. Relativ. Gravit. 44, 2811 (2012)

    Article  ADS  Google Scholar 

  36. Sharif, M., Bhatti, M.Z.: Mod. Phys. Lett. 29, 1450094 (2014)

    Article  ADS  Google Scholar 

  37. Sharif, M., Bhatti, M.Z.: Astrophys. Space Sci. 349, 995 (2014)

    Article  ADS  Google Scholar 

  38. Sharif, M., Nasir, Z.: Gen. Relativ. Gravit. 47, 85 (2015)

    Article  ADS  Google Scholar 

  39. Sharif, M., Yousaf, Z.: Astrophys. Space Sci. 357, 49 (2015)

  40. Sharif, M., Yousaf, Z.: Gen. Relativ. Gravit. 47, 48 (2015)

    Article  ADS  Google Scholar 

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

    Article  ADS  MathSciNet  Google Scholar 

  42. Cognola, G., et al.: Phys. Rev. D 73, 084007 (2006)

    Article  ADS  Google Scholar 

  43. Felice, A.D., Tsujikawa, S.: Living Rev. Relativ. 13, 3 (2010)

    Article  ADS  Google Scholar 

  44. Sharif, M., Fatima, H.I.: Eur. Phys. J. Plus 131, 265 (2016)

    Article  Google Scholar 

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Authors and Affiliations

  1. Department of Mathematics, University of the Punjab, Quaid-e-Azam Campus, Lahore, 54590, Pakistan

    M. Sharif & H. Ismat Fatima

  2. Department of Mathematics, Queen Mary College, Lahore, 54000, Pakistan

    H. Ismat Fatima

Authors
  1. M. Sharif
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  2. H. Ismat Fatima
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Correspondence to M. Sharif.

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Sharif, M., Fatima, H.I. Structure scalars and evolution equations in f(G) cosmology. Gen Relativ Gravit 49, 1 (2017). https://doi.org/10.1007/s10714-016-2163-x

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  • DOI: https://doi.org/10.1007/s10714-016-2163-x

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