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Stability of Accelerating Universe with Linear Equation of State in f (T) Gravity Using Hybrid Expansion Law

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We investigate the dynamics of locally rotationally symmetric and spatially homogeneous Bianchi type-I (LRS) space-time with the linear equation of state filled with a perfect fluid in the framework of f (T) gravity. We apply the gravitational field equations for the linear and quadratic form of f (T) gravity. We determine the aspects of Bianchi type-I space-time by considering the hybrid expansion law (HEL) for the average scale factor that yields power-law and exponential-law cosmologies, in its special cases. It is observed that initially the model is unstable and is then stable in both linear and quadratic case. Also, the universe exhibits transition from deceleration to acceleration phase.

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References

  1. A. Riess et al., Astron. J., 116, 1009, 1998.

    Article  ADS  Google Scholar 

  2. S. Perlmutter et al., Bull. Am. Astron. Soc., 29, 1351, 1997.

    ADS  Google Scholar 

  3. S. Perlmutter et al., Astrophys. J., 517, 565, 1999.

    Article  ADS  Google Scholar 

  4. D. Spergel et al., Astrophys. J., 148, 175, 2003.

    Article  Google Scholar 

  5. M. Tegmark et al., Phys. Rev. D, 69, 26, 2004.

    Article  Google Scholar 

  6. E. Komatsu et al., Astrophys. J. Suppl. Ser., 180, 330, 2009.

    Article  ADS  Google Scholar 

  7. E. Linder, Phys. Rev. D, 81, 127301, 2010.

    Article  ADS  Google Scholar 

  8. P. Wu and H. Yu, Phys. Lett. B, 692, 176, 2010.

    Article  ADS  MathSciNet  Google Scholar 

  9. U. Wu and H. Yu, Eur. Phys. J. C, 71, 1552, 2011.

  10. K. Karami, A.Abdolmaleki, J. Phys. Conf. Ser., 375, 032009, 2012.

    Article  Google Scholar 

  11. K. Bamba et al., JCAP, 1101, 021, 2011.

  12. R. Myrzakulov, arXiv:1006.3879.

  13. M. Sharif and S. Rani, Mod. Phys. Lett. A, 26, 1657, 2011.

    Article  ADS  Google Scholar 

  14. V. Chirde and S. Shekh, Bulg. J. Phys., 41, 258, 2014.

    Google Scholar 

  15. M. Jamil and M. Yussouf, Int. J. Theor. Phys. DOI 10.1007/s10773-015-2517-2.

  16. G. Gamal, Nashed Astrophys. Space Sci., 357:111, DOI 10.1007/s10509-015-2339-y, 2015.

    Article  Google Scholar 

  17. S. Kumar, Gravit. Cosmol., 19(4), 284, 2013.

    Article  ADS  MathSciNet  Google Scholar 

  18. O. Akarsu, S. Kumar, R. Myrzakulov, and M. Sami, 10.1088/1475-7516/2014/01/022, 2012.

  19. S. Bhoyar, V. Chirde, and S. Shekh, Int. J. Adv. Res., 3(9), 492, 2015.

    Google Scholar 

  20. R. Kantowski and R. Sachs, J. Math. Phys., 7, 433, 1966.

    Article  ADS  Google Scholar 

  21. J. Kristian and S. Sachs, Astrophys. J., 143, 379, 1966.

    Article  ADS  MathSciNet  Google Scholar 

  22. C. Collins, E. Glass, and D. Wilkisons, Gen. Relativ Gravit., 12, 805, 1980.

    Article  ADS  Google Scholar 

Download references

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Authors and Affiliations

  1. Phulsing Naik Mahavidyalaya, Pusad, -445216, India

    S. R. Bhoyar

  2. G.S.G.Mahavidyalaya, Umarkhed, -445206, India

    V. R. Chirde

  3. B.N. College of Engineering and Technology, Yavatmal, -445001, India

    S. H. Shekh

Authors
  1. S. R. Bhoyar
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  2. V. R. Chirde
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  3. S. H. Shekh
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Corresponding author

Correspondence to S. R. Bhoyar.

Additional information

Published in Astrofizika, Vol. 60, No. 2, pp. 277-289 (May 2017).

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Bhoyar, S.R., Chirde, V.R. & Shekh, S.H. Stability of Accelerating Universe with Linear Equation of State in f (T) Gravity Using Hybrid Expansion Law. Astrophysics 60, 259–272 (2017). https://doi.org/10.1007/s10511-017-9480-y

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  • DOI: https://doi.org/10.1007/s10511-017-9480-y

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