Skip to main content
SpringerLink
Log in

A new class of interacting anisotropic cosmological models with time varying quadratic deceleration parameter

  • Original Paper
  • Published:
Indian Journal of Physics Aims and scope Submit manuscript

Abstract

Spatially homogeneous and anisotropic Bianchi type-I space-time with perfect fluid is considered within the framework of f(R, T) theory of gravity. We find the exact solutions of the field equations by assuming the time-dependent function of deceleration parameter of second degree. We observed an anisotropic Universe at an early epoch, which becomes isotropic at a late epoch. The transition phase of deceleration to acceleration is also established in this developed model. We discuss the slope of Om(z) diagnostic tool. It is found that the slope is negative at the beginning of the Universe and approaches to constant value at late epoch which implies that Universe will be dominated by dark energy \((w=-1)\) at late epoch. To check the consistency of the cosmological parameters with observations, we also examine the energy conditions of the models.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Fig. 1
Fig. 2
Fig. 3
Fig. 4
Fig. 5
Fig. 6
Fig. 7
Fig. 8
Fig. 9
Fig. 10

Similar content being viewed by others

References

  1. H Wayne and N Sugiyama arXiv:astro-ph/9407093 28 (1994)

  2. V A Belinskii and I M Khalatnikov Sov. Phys. JETP 42 205 (1976)

    ADS  Google Scholar 

  3. D R K Reddy and R Venkateswarlu Astrophys. Space Sc. 136 17 (1987)

    Article  ADS  Google Scholar 

  4. D Lorenz-Petzold Astrophys. Space Sci. 155 335 (1989)

    Article  MathSciNet  ADS  Google Scholar 

  5. R Venkateswarlu and D R K Reddy Astrophys. Space Sci. 168 193 (1990)

    Article  MathSciNet  ADS  Google Scholar 

  6. T Agrawal, A Kumar and S Kumar Astrophys. Space Sci. 182 289 (1991)

    Article  MathSciNet  Google Scholar 

  7. L P Chimento, A S Jacubi, W Mendez and R Maartens Class. Quantum Grav. 14 3363 (1997)

    Article  ADS  Google Scholar 

  8. R Bali and A Gokhroo Astrophys. Space Sci. 278 283 (2001)

    Article  MathSciNet  ADS  Google Scholar 

  9. R Bali, S Keshav et al Astrophys. Space Sci. 83 11 (2003)

    Article  ADS  Google Scholar 

  10. R Bali and A Pramana J. Phys. 63 481 (2004)

    Google Scholar 

  11. C B Kılınc Astrophys. Space Sci. 289 103 (2004)

    Article  ADS  Google Scholar 

  12. B Saha et al Mod. Phys. Lett. A 20 2127 (2005)

    Article  ADS  Google Scholar 

  13. B Saha et al Astrophys. Space Sci. 302 83 (2006)

    Article  ADS  Google Scholar 

  14. B Saha Phys. Rev. D 74 124030 (2006)

    Article  MathSciNet  ADS  Google Scholar 

  15. A Pradhan and P Pandey Astrophys. Space Sci. 301 221 (2006)

    Article  Google Scholar 

  16. M Saratchandra Singh and S Surendra Singh Gravitation and Cosmology. 25 82 (2018)

  17. T Harko, F S N Lobo, S Nojiri and S N Odintsov Phys. Rev. D 84 024020 (2011)

    Article  ADS  Google Scholar 

  18. K S Adhav Astrophys. Space Sci. 339 365 (2012)

    Article  ADS  Google Scholar 

  19. P K Sahoo, B Mishra et al Eur. Phys. J. Plus. 129 49 (2014)

    Article  ADS  Google Scholar 

  20. Z Yousaf , K Bamba et al., arXiv:1603.0317v1 [gr-qc]

  21. Z Yousaf , K Bamba and M Z H ul Bhatti, arXiv:1606.00147v1 [gr-qc]

  22. S Surendra Singh and L A Devi New Astron. 22 101656 (2021)

  23. V Sahni, A Shafieloo and A A Starobinsky Phys. Rev. D 78 103502 (2008)

    Article  ADS  Google Scholar 

  24. M K Mak and T Harko Int. J. Mod. Phys. D 11 447 (2002)

    Article  ADS  Google Scholar 

  25. P K Sahoo, S K Tripathy and P Sahoo Modern Phys. Lett. A 33 1850193 (2018)

    Article  ADS  Google Scholar 

  26. V K Bhardwaj and M K Rana Int. J. Geom. Methods Mod. Phys. 16 1950195 (2019)

    Article  MathSciNet  Google Scholar 

  27. B K Bishi and P V Lepse New Astron. 85 101563 (2021)

    Article  Google Scholar 

  28. P K Sahoo, P Sahoo and B K Bishi Int. J. Geom. Meth. Mod. Phys 14 1750097 (2017)

    Article  Google Scholar 

  29. T Vinuthaa and K S Kavya Eur. Phys. J. Plus 135 306 (2020)

    Article  Google Scholar 

  30. M A Bakry and A T Shafeek Astrophys. Space. Sci.. 364 135 (2019)

    Article  ADS  Google Scholar 

  31. S Capozziello et al Phys. Rev. D 90 044016 (2014)

    Article  ADS  Google Scholar 

  32. R R Caldwell, M Kamionkowski and N N Weinberg Phys. Rev, Lett. 91 071301 (2003)

    Article  ADS  Google Scholar 

  33. J V Cunha Phys. Rev. D 79 047301 (2009)

    Article  ADS  Google Scholar 

  34. R R Caldwell, M Kamionkowski and N N Weinberg Phys. Rev. Lett 91 071301 (2003)

    Article  ADS  Google Scholar 

  35. M I Wanas, M M Kamal and T F Dabash Eur. Phys. J. Plus 133 21 (2018)

    Article  Google Scholar 

  36. K Bamba, G G L Nashed, W El Hanafy and S K Ibraheem Phys. Rev. D 94 083513 (2016)

    Article  MathSciNet  ADS  Google Scholar 

  37. P H R S Moraes and P K Sahoo Eur. Phys. J. C. 77 480 (2017)

    Article  ADS  Google Scholar 

  38. F G Alvarenga, M J S Houndjo and A V Monwanou J. Modern Phys. 4 130 (2013)

    Article  Google Scholar 

  39. M Sharif, S Rani and R Myrzakulov Eur. Phys. J. Plus 128 123 (2013)

    Article  Google Scholar 

  40. Z Yousaf Universe 8 131 (2022)

    Article  ADS  Google Scholar 

  41. Z Yousaf Eur. Phys. J. Plus 132 71 (2017)

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Department of Mathematics, National Institute of Technology Manipur, Imphal, Manipur, 795004, India

    L. Anjana Devi, S. Surendra Singh & Leishingam Kumrah

Authors
  1. L. Anjana Devi
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. S. Surendra Singh
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. Leishingam Kumrah
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to L. Anjana Devi.

Additional information

Publisher's Note

Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.

Rights and permissions

Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Devi, L.A., Singh, S.S. & Kumrah, L. A new class of interacting anisotropic cosmological models with time varying quadratic deceleration parameter. Indian J Phys 97, 2217–2225 (2023). https://doi.org/10.1007/s12648-022-02546-2

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s12648-022-02546-2

Keywords

Search

Navigation