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Locally rotationally symmetric Bianchi type-I cosmological model with dynamical \(\Lambda \) and G in f(R) gravity

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Abstract

In this paper, we have studied the locally rotationally symmetric (LRS) Bianchi type-I cosmological model filled with a bulk viscous cosmological fluid in \(f(R)\) gravity in the presence of time-varying gravitational and cosmological constant. We have used the power-law and intermediate scenario for scale factor to obtain the solution of the field equations. The evolution of temperature of a viscous Universe is also analysed.

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References

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

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

  3. D N Spergel et al, Astrophys. Ser. 148, 175 (2003)

    Article  ADS  Google Scholar 

  4. E Komatsu et al, Astrophys. J. Suppl. Ser. 180, 330 (2009)

    Article  ADS  Google Scholar 

  5. M Tegmark et al, Phys. Rev. D 69, 103501 (2004)

    Article  ADS  Google Scholar 

  6. D J Eisenstein et al, Astrophys. J. 633, 560 (2005)

    Article  ADS  Google Scholar 

  7. B Jain and A Taylor, Phys. Rev. Lett. 91, 141302 (2003)

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

  9. S M Carroll, V Duvvuri, M Trodden and M S Turner, Phys. Rev. D 70, 043528 (2004)

    Article  ADS  Google Scholar 

  10. T P Sotiriou and V Faraoni, Rev. Mod. Phys. 82, 451 (2010)

    Article  ADS  Google Scholar 

  11. O Bertolami, G Boehmer, T Harko and F S N Lobo, Phys. Rev. D 75, 104016 (2007)

    Article  ADS  MathSciNet  Google Scholar 

  12. P A M Dirac, Nature 139, 323 (1937)

    Article  ADS  Google Scholar 

  13. Abdusattar and R G Vishwakarma, Class. Quant. Grav. 14, 945 (1997)

  14. A Bonanno and M Reuter, Phys. Rev. D 65, 043508 (2002)

    Article  ADS  MathSciNet  Google Scholar 

  15. E Bentivegna, A Bonanno and M Reuter, J. Cosmol. Astropart. Phys. 0401, 001 (2004)

    Article  ADS  Google Scholar 

  16. C J Copi, A N Davis and L M Krauss, Phys. Rev. Lett. 42, 171301 (2004)

    Article  ADS  Google Scholar 

  17. L Smolin, Nucl. Phys. B 160, 253 (1979)

    Article  ADS  Google Scholar 

  18. S Adler, Phys. Rev. Lett. 44, 1567 (1980)

    Article  ADS  MathSciNet  Google Scholar 

  19. A Zee, Phys. Rev. Lett. 42, 1567 (1979)

    Article  Google Scholar 

  20. C L Bennett et al, Astrophys. J. Suppl. 148, 97 (2003)

    Article  ADS  Google Scholar 

  21. C W Misner, Astrophys. J. 151, 431 (1968)

    Article  ADS  Google Scholar 

  22. G W Gibbons and S W Hawking, Phys. Rev. D 15, 2738 (1977)

    Article  ADS  MathSciNet  Google Scholar 

  23. G F R Ellis and H van Elst, NATO ASIC Proc. 541, 1 (1999)

    Google Scholar 

  24. E W Kolb and M S Turner, The early Universe (Addison-Wesley, 1990)

    MATH  Google Scholar 

  25. C W Misner, K S Thorne and J A Wheeler, Gravitation (W.H. Freeman, New York, 1973)

    Google Scholar 

  26. B L Hu and L Parker, Phys. Rev. D 17, 933 (1978)

    Article  ADS  Google Scholar 

  27. S W Hawking and G F R Ellis, The large scale structure of space–time (Cambridge University Press, UK, 1973)

    Book  Google Scholar 

  28. V A Belinskii, I M Khalatnikov and E M Lifshits, Adv. Phys. 19, 525 (1970)

    Article  ADS  Google Scholar 

  29. M A H MacCallum, Anisotropic and inhomogeneous relativistic cosmologies in general relativity (Cambridge University Press, UK, 1979) Chapter 11

    Google Scholar 

  30. G Hinshaw et al, Astrophys. J. Suppl. 148, 135 (2003)

    Article  ADS  Google Scholar 

  31. G Hinshaw et al, Astrophys. J. Suppl. 288, 170 (2007)

    Google Scholar 

  32. G Hinshaw et al, Astrophys. J. Suppl. 180, 225 (2009)

    Article  ADS  Google Scholar 

  33. J Jaffe et al, Astrophys. J. 629, L1 (2005)

    Article  ADS  Google Scholar 

  34. J Jaffe et al, Astrophys. J. 643, 616 (2006)

    Article  ADS  Google Scholar 

  35. J Jaffe et al, Astron. Astrophys. 460, 393 (2006)

    Article  ADS  Google Scholar 

  36. A H Guth, Phys. Rev. D 23, 347 (1981)

    Article  ADS  Google Scholar 

  37. A D Linde, Phys. Lett. B 108, 389 (1982)

    Article  ADS  Google Scholar 

  38. A D Linde, Phys. Lett. B 129, 177 (1983)

    Article  ADS  Google Scholar 

  39. A D Linde, Phys. Lett. B 259, 38 (1991)

    Article  ADS  Google Scholar 

  40. A D Linde, Phys. Lett. B 49, 748 (1994)

    Google Scholar 

  41. V Fayaz, M R Setare and H Hossienkhani, Can. J. Phys. 91, 153 (2013)

    Article  ADS  Google Scholar 

  42. M Khurshudyan, B Paurhassan and A Pasqua, Can. J. Phys. 93(4), 449 (2015)

    Article  ADS  Google Scholar 

  43. R Chaubey, A K Shukla and R Raushan, Pramana – J. Phys. 88: 61, 65 (2017)

  44. B C Paul and P S Debnath, arXiv:1105.3307 (2011)

  45. M Khurshudyan, B Paurhassan and E O Kahya, Int. J. Geom. Methods Mod. Phys. 11, 1450061 (2014)

    Article  Google Scholar 

  46. J Sodeghi, M Khurshudyan, A Movsisyan and H Farahan, J. Cosmol. Astropart. Phys. 12, 031 (2013)

    Article  ADS  Google Scholar 

  47. E O Kahya, M Khurshudyan, B Pourhassan, R Myrzakulov and A Pasqua, Eur. Phys. J. C 75, 43 (2015)

    Article  ADS  Google Scholar 

  48. I Muller, Z. Phys. 198, 329 (1967)

    Article  ADS  Google Scholar 

  49. W Israel, Ann. Phys. 100, 329 (1967)

    Google Scholar 

  50. W Israel and J M Stewart, Ann. Phys. 118, 341 (1970)

    Article  ADS  Google Scholar 

  51. D Pavon, D Jou and J C Vozquez, Ann. Inst. Henri Poincare A 36, 79 (1982)

    Google Scholar 

  52. A I Arbab, Gen. Rel. Grav. 29, 61 (1997)

    Article  ADS  Google Scholar 

  53. W Zimdahl, Phys. Rev. D 53, 5483 (1996)

    Article  ADS  Google Scholar 

  54. D Pavon, J Bafaluy and D Jou, Class. Quant. Grav. 8, 357 (1991)

    Article  ADS  Google Scholar 

  55. R Maartens, Class. Quant. Grav. 12, 1455 (1991)

    Article  ADS  Google Scholar 

  56. T S Olson and T F Jordan, Phys. Rev. D 35, 3258 (1987)

    Article  ADS  Google Scholar 

  57. D Pavon, Phys. Rev. D 43, 375 (1991)

    Article  ADS  Google Scholar 

  58. M D Maia and G S Silva, Phys. Rev. D 50, 7233 (1994)

    Article  ADS  Google Scholar 

  59. L F B Torres and I Waga, Mon. Not. R. Astron. Soc. 279, 712 (1996)

    Article  ADS  Google Scholar 

  60. M S Berman, Int. J. Theor. Phys. 29, 571 (1990)

    Article  Google Scholar 

  61. R W Hellings et al, Phys. Rev. Lett. 51, 1609 (1983)

    Article  ADS  Google Scholar 

  62. V M Kaspi, J H Taylor and M F Ryba, Astrophys. J. 428, 713 (1994)

    Article  ADS  Google Scholar 

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Acknowledgements

The authors express their sincere thanks to referees for their valuable comments and suggestions. The authors (RC and RR) express their sincere thanks to CSIR, New Delhi, for the financial assistance under Project No. 25(0259) / 17 / EMR-II. One of the authors (TS) would like to thank the Indian Institute of Advanced Study, Shimla, Himachal Pradesh, India, for financial support.

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Raushan, R., Shukla, A.K., Chaubey, R. et al. Locally rotationally symmetric Bianchi type-I cosmological model with dynamical \(\Lambda \) and G in f(R) gravity. Pramana - J Phys 92, 79 (2019). https://doi.org/10.1007/s12043-019-1741-3

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  • DOI: https://doi.org/10.1007/s12043-019-1741-3

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