Advertisement

Dynamics of perfect fluid cosmological model in the presence of massive scalar field in \(f(R,T)\) gravity

  • Y. Aditya
  • D. R. K. ReddyEmail author
Original Article
  • 71 Downloads

Abstract

In this paper, we are interested to investigate spatially homogeneous and totally anisotropic perfect cosmological model in the presence of an attractive massive scalar field in \(f(R,T)\) gravity in the background of Bianchi type-\(\mathit{III}\) space-time. Here \(R\) is the Ricci scalar and \(T\) is the trace of the energy momentum tensor. In order to solve the field equations, we have used (i) the expansion scalar of the space-time is proportional to the shear scalar which leads to a relationship between metric potentials and (ii) a power law between the scalar field and the average scale factor. We obtain a cosmological model of the universe with variable deceleration parameter. We have computed all the cosmological parameters of the model and discussed their physical importance.

Keywords

Bianchi type-\(\mathit{III}\) model Dark energy model Anisotropic model Massive scalar field \(f(R,T)\) gravity 

Notes

Acknowledgements

The authors are very much grateful to the reviewer for their constructive comments which certainly improved the quality and presentation of the paper.

References

  1. Aditya, Y., Reddy, D.R.K.: Int. J. Geom. Methods Mod. Phys. 15, 1850156 (2018) MathSciNetCrossRefGoogle Scholar
  2. Aditya, Y., et al.: Astrophys. Space Sci. 361, 56 (2016) ADSMathSciNetCrossRefGoogle Scholar
  3. Astier, P., et al.: Astron. Astrophys. 447, 31 (2006) ADSCrossRefGoogle Scholar
  4. Bamba, K., et al.: Astrophys. Space Sci. 342(1), 155 (2012) ADSCrossRefGoogle Scholar
  5. Bento, M.C., Bertolami, O., Sen, A.A.: Phys. Rev. D 66, 043507 (2002) ADSCrossRefGoogle Scholar
  6. Cai, R.G.: Phys. Lett. B 660, 113 (2008) ADSCrossRefGoogle Scholar
  7. Capozziello, S., De Laurentis, M.: arXiv:1108.6266v2 [gr-qc] (2011)
  8. Capozziello, S., et al.: Recent Res. Dev. Astron. Astrophys. 1, 625 (2003) Google Scholar
  9. Chattopadhyay, S., Debnath, U.: Int. J. Theor. Phys. 50, 315 (2011) CrossRefGoogle Scholar
  10. Collins, C.B., et al.: Gen. Relativ. Gravit. 12, 805 (1980) ADSCrossRefGoogle Scholar
  11. Copeland, E.J., et al.: Int. J. Mod. Phys. D 15, 1753 (2006) ADSCrossRefGoogle Scholar
  12. Eisenstein, D.J., et al.: Astrophys. J. 633, 560 (2005) ADSCrossRefGoogle Scholar
  13. Ellis, G.F.R.: General Relativity and Cosmology. Academic Press, New York (1971) Google Scholar
  14. Hanany, S., et al.: Astrophys. J. 545, L5 (2000) ADSCrossRefGoogle Scholar
  15. Harko, T., et al.: Phys. Rev. D 84, 024020 (2011) ADSCrossRefGoogle Scholar
  16. Hsu, S.D.H.: Phys. Lett. B 594, 13 (2004) ADSCrossRefGoogle Scholar
  17. Jawad, A., et al.: Astrophys. Space Sci. 344, 489 (2013) ADSCrossRefGoogle Scholar
  18. Kamenshchik, A.Y., Moschella, U., Pasquier, V.: Phys. Lett. B 511, 265 (2001) ADSCrossRefGoogle Scholar
  19. Karami, K., Ghaffari, S., Fehri, J.: Eur. Phys. J. C 64, 85 (2009) ADSCrossRefGoogle Scholar
  20. Katore, S.D.: Int. J. Theor. Phys. 54, 2700 (2015) MathSciNetCrossRefGoogle Scholar
  21. Komatsu, E., et al.: Astrophys. J. Suppl. Ser. 180, 330 (2009) ADSCrossRefGoogle Scholar
  22. Li, M.: Phys. Lett. B 603, 1 (2004) ADSMathSciNetCrossRefGoogle Scholar
  23. Lyra, G.: Math. Z. 54, 52 (1951) MathSciNetCrossRefGoogle Scholar
  24. Mishra, B., et al.: Astrophys. Space Sci. 359, 15 (2015) ADSCrossRefGoogle Scholar
  25. Mohanty, G., Pradhan, B.D.: Int. J. Theor. Phys. 31, 151 (1992) CrossRefGoogle Scholar
  26. Naidu, R.L.: Can. J. Phys. (2018, to appear) Google Scholar
  27. Nojiri, S., Odintsov, S.D.: Phys. Rev. D 68, 123512 (2003) ADSCrossRefGoogle Scholar
  28. Nojiri, S., Odintsov, S.D.: Phys. Rep. 505, 59 (2011) ADSMathSciNetCrossRefGoogle Scholar
  29. Nojiri, S., et al.: Phys. Rep. 692, 1 (2017) ADSMathSciNetCrossRefGoogle Scholar
  30. Padmanabhan, T.: Phys. Rep. 380, 235 (2003) ADSMathSciNetCrossRefGoogle Scholar
  31. Paul, B.C., Debnath, P.S., Ghose, S.: Phys. Rev. D 79, 083534 (2009) ADSCrossRefGoogle Scholar
  32. Peebles, P.J.E., Ratra, B.: Rev. Mod. Phys. 75, 559 (2003) ADSCrossRefGoogle Scholar
  33. Perlmutter, S., et al.: Astrophys. J. 517, 565 (1999) ADSCrossRefGoogle Scholar
  34. Reddy, D.R.K.: DJ J. Eng. Appl. Math. 4(2), 13 (2018) MathSciNetCrossRefGoogle Scholar
  35. Reddy, D.R.K., Santhi Kumar, R.: Astrophys. Space Sci. 344, 253 (2013) ADSCrossRefGoogle Scholar
  36. Reddy, D.R.K., et al.: Astrophys. Space Sci. 342, 249 (2012) ADSCrossRefGoogle Scholar
  37. Reddy, D.R.K., et al.: Eur. Phys. J. Plus 129, 96 (2014) CrossRefGoogle Scholar
  38. Riess, A.G., et al.: Astron. J. 116, 1009 (1998) ADSCrossRefGoogle Scholar
  39. Riess, A.G., et al.: Astrophys. J. 659, 98 (2007) ADSCrossRefGoogle Scholar
  40. Sadeghi, J., Banijamali, A., Vaez, H.: Int. J. Theor. Phys. 51, 2888 (2012) CrossRefGoogle Scholar
  41. Sahoo, P.K., et al.: Eur. Phys. J. Plus 131, 333 (2016) ADSCrossRefGoogle Scholar
  42. Santhi, M.V., et al.: Astrophys. Space Sci. 361, 142 (2016) ADSCrossRefGoogle Scholar
  43. Santhi, M.V., et al.: Int. J. Theor. Phys. 56, 362 (2017a) CrossRefGoogle Scholar
  44. Santhi, M.V., et al.: Can. J. Phys. 95, 136 (2017b) ADSCrossRefGoogle Scholar
  45. Santhi, M.V., et al.: Can. J. Phys. 96, 55 (2018) ADSCrossRefGoogle Scholar
  46. Santos, J., et al.: Phys. Rev. D 76, 083513 (2007) ADSMathSciNetCrossRefGoogle Scholar
  47. Shamir, M.F.: Astrophys. Space Sci. 330, 183 (2010) ADSCrossRefGoogle Scholar
  48. Sharif, M., Jawad, A.: Eur. Phys. J. C 72, 2097 (2012) ADSCrossRefGoogle Scholar
  49. Sharif, M., Jawad, A.: Eur. Phys. J. C 73, 2382 (2013) ADSCrossRefGoogle Scholar
  50. Sharif, M., Rani, S.: Astrophys. Space Sci. 345, 217 (2013) ADSCrossRefGoogle Scholar
  51. Sharif, M., Nawazish, I.: Eur. Phys. J. C 77, 198 (2017) ADSCrossRefGoogle Scholar
  52. Sharif, M., Shamir, M.F.: Class. Quantum Gravity 26, 235020 (2009) ADSCrossRefGoogle Scholar
  53. Sheykhi, A.: Gen. Relativ. Gravit. 44, 2271 (2012) ADSMathSciNetCrossRefGoogle Scholar
  54. Singh, J.K.: Nuovo Cimento B 120, 1259 (2005) ADSGoogle Scholar
  55. Singh, J.K.: Int. J. Theor. Phys. 48, 905 (2009) ADSCrossRefGoogle Scholar
  56. Singh, J.K., Ram, S.: Astrophys. Space Sci. 236, 277 (1996) ADSCrossRefGoogle Scholar
  57. Singh, J.K., Rani, S.: Int. J. Theor. Phys. 54, 544 (2015) Google Scholar
  58. Spergel, D.N., et al.: Astrophys. J. Suppl. Ser. 148, 175 (2003) ADSCrossRefGoogle Scholar
  59. Wei, H.: Class. Quantum Gravity 29, 175008 (2012) ADSCrossRefGoogle Scholar
  60. Zhang, X., Wu, F.Q., Zhang, J.: J. Cosmol. Astropart. Phys. 01, 003 (2006) ADSCrossRefGoogle Scholar

Copyright information

© Springer Nature B.V. 2019

Authors and Affiliations

  1. 1.Department of MathematicsANITS (A)VisakhapatnamIndia
  2. 2.Department of Applied MathematicsAndhra UniversityVisakhapatnamIndia

Personalised recommendations