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Some exact anisotropic solutions via Noether symmetry in f(R) gravity

  • Nuclei, Particles, Fields, Gravitation, and Astrophysics
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Abstract

We attempt to find exact solutions of the Bianchi I model in f(R) gravity using the Noether symmetry approach. For this purpose, we take a perfect fluid and formulate conserved quantities for the power-law f(R) model. We discuss some cosmological parameters for the resulting solution which are responsible for expanding behavior of the universe. We also explore Noether gauge symmetry and the corresponding conserved quantity. It is concluded that symmetry generators as well as conserved quantities exist in all cases and the behavior of cosmological parameters shows consistency with recent observational data.

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References

  1. H. Steudel, Z. Naturforsch., A: Astrophys., Phys. Phys. Chem. 17A, 129 (1962).

    MathSciNet  Google Scholar 

  2. A. H. Kara and F. M. Mahomed, Nonlinear Dyn. 45, 367 (2006).

    Article  MATH  MathSciNet  Google Scholar 

  3. Ü. Göktas and W. Hereman, J. Symb. Comput. 24, 591 (1997); T. Wolf, A. Brand, and M. Mohammadzadeh, J. Symb. Comput. 27, 221 (1999); T. Wolf, Eur. J. Appl. Math. 13, 129 (2002); W. Hereman, Int. J. Quantum Chem. 106, 278 (2006).

    Article  MATH  Google Scholar 

  4. A. F. Cheviakov, Comput. Phys. Commun. 176, 48 (2007).

    Article  ADS  MATH  MathSciNet  Google Scholar 

  5. A. D. Felice and S. Tsujikawa, Living Rev. Relativ. 13, 3 (2010); K. Bamba, S. Capozziello, S. Nojiri, and S. D. Odintsov, Astrophys. Space Sci. 342, 155 (2012); S. Nojiri and S. D. Odintsov, Phys. Rep. 505, 59 (2011).

    Article  ADS  Google Scholar 

  6. A. A. Starobinsky, JETP Lett. 86(3), 157 (2007).

    Article  ADS  Google Scholar 

  7. Ö. Akarsu and C. B. Kilinc, Astrophys. Space Sci. 326, 315 (2010).

    Article  ADS  MATH  Google Scholar 

  8. A. K. Yadav and B. Saha, Astrophys. Space Sci. 337, 759 (2012).

    Article  ADS  MATH  Google Scholar 

  9. M. Sharif and S. Waheed, Can. J. Phys. 88, 833 (2010).

    Article  ADS  Google Scholar 

  10. M. Sharif and S. Waheed, Phys. Scr. 83, 015014 (2011).

    Article  ADS  Google Scholar 

  11. M. Sharif and S. Waheed, J. Cosmol. Astropart. Phys. 02, 043 (2013).

    Article  ADS  MathSciNet  Google Scholar 

  12. A. Aslam, M. Jamil, and R. Myrzakulov, Phys. Scr. 88, 025003 (2013).

    Article  ADS  Google Scholar 

  13. Y. Kucukakca, Eur. Phys. J. C 73, 2327 (2013).

    Article  ADS  Google Scholar 

  14. A. Aslam, M. Jamil, D. Momeni, and R. Myrzakulov, Can. J. Phys. 91, 93 (2013).

    Article  Google Scholar 

  15. M. Jamil, S. Ali, D. Momeni, and R. Myrzakulov, Eur. Phys. J. C 72, 1998 (2012).

    Article  ADS  Google Scholar 

  16. Y. Kucukakca, U. Camci, and İ. Semiz, Gen. Relativ. Gravitation 44, 1893 (2012).

    Article  ADS  MATH  MathSciNet  Google Scholar 

  17. S. Capozziello, A. Stabile, and A. Troisi, Classical Quantum Gravity 24, 2153 (2007).

    Article  ADS  MATH  MathSciNet  Google Scholar 

  18. B. Vakili, Phys. Lett. B 16, 664 (2008).

    Google Scholar 

  19. M. Jamil, F. M. Mahomed, and D. Momeni, Phys. Lett. B 702, 315 (2011).

    Article  ADS  Google Scholar 

  20. I. Hussain, M. Jamil, and F. M. Mahomed, Astrophys. Space Sci. 337, 373 (2012).

    Article  ADS  MATH  Google Scholar 

  21. M. F. Shamir, A. Jhangeer, and A. A. Bhatti, Chin. Phys. Lett. A 29, 080402 (2012).

    Article  Google Scholar 

  22. Y. Kucukakca and U. Camci, Astrophys. Space Sci. 338, 211 (2012).

    Article  ADS  MATH  Google Scholar 

  23. C. B. Collins, E. N. Glass, and D. A. Wilkinson, Gen. Relativ. Gravitation 12, 805 (1980).

    Article  ADS  MATH  MathSciNet  Google Scholar 

  24. S. Nesseris and L. Perivolaropoulos, J. Cosmol. Astropart. Phys. 01, 018 (2007); H. K. Jassal, J. S. Bagla, and T. Padmanabhan, Mon. Not. R. Astron. Soc. 405, 2639 (2010).

    Article  ADS  MathSciNet  Google Scholar 

  25. M. Sharif and M. F. Shamir, Classical Quantum Gravity 26, 235020 (2009).

    Article  ADS  MathSciNet  Google Scholar 

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Authors and Affiliations

  1. Department of Mathematics, University of the Punjab, Lahore, 54590, Pakistan

    M. Sharif & I. Nawazish

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  1. M. Sharif
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  2. I. Nawazish
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Correspondence to M. Sharif.

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Sharif, M., Nawazish, I. Some exact anisotropic solutions via Noether symmetry in f(R) gravity. J. Exp. Theor. Phys. 120, 49–56 (2015). https://doi.org/10.1134/S1063776114110119

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  • DOI: https://doi.org/10.1134/S1063776114110119

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