Five-dimensional Plane Symmetric Bianchi Type-I Cosmological model with Quark and Strange Quark Matter in f(R) Theory of Gravity

Authors

  • S. R. Gomkar  Head Department of Mathematics, Janta Mahavidyalaya, Chandrapur, Maharashtra, India
  • Jyotsna Jumale  R. S. Bidkar College, Hinganghat , Distt. Wardha, Maharashtra, India
  • V. T. Zade  Head Department of Physics R. S. Bidkar College, Hinganghat , Distt. Wardha, Maharashtra, India

Keywords:

Abstract

In the present paper, we have obtained the solution of five dimensional plane symmetric Bianchi type-I space time in the presence of quark and strange quark matter in modified theory of gravity. The field equations are solved using special law of variation of Hubble’s parameter which is proposed by Berman(1982,83). Also the physical properties have been discussed.

References

  1. Adhav et. al. (2015): Kantowski-Sachs Cosmological model with quark and strange quark matter in f(R ) theory of gravity. Open Physics, Vol.13, Issue1.
  2. Adhav et. al. (2015): Anisotropic Cosmological Models in f (R) gravity with Quark and Strange Quark Matter and special form of deceleration parameter. The Africian Review of Physics, Vol.9.
  3. Azadi, A., Momeni, D., Nouri-Zonoz, M. (2008): Cylindrical solutions in metric f (R) gravity. Phys. Lett. B 670, 210.
  4. Chirde and Shekh(2018): Transition between general relativity and quantum gravity using quark and strange quark matter with some kinematical test. Journal of Astrophysics and Astronomy 39.5:56.
  5. Khadekar and Shelote (2012): Higher Dimensional Cosmological Model with Quark and Strange Quark Matter. International Journal of Theoretical Physics, 51(5), 1442-1447.
  6. Katore et. al. (2012): Strange quark matter attached to string cosmology in FRW space- time. International Journal of Theoretical Physics 51.1:83-89.
  7. Mak and Harko(2004):Quark Start Admiting a One-Parameter Group of Conformal Motion. International Journal of Modern Physics D.Vol.13, 149-156.
  8. G. P. Urkude el. al. (2013): Five dimensional static plane symmetric vacuum solutions in f (R) Gravity. Tensor N. S. Vol. 74.
  9. Hollenstein, L., Lobo, F.S.N. (2008): Exact solutions of f (R) gravity coupled to nonlinear electrodynamics. Phys. Rev. D Vol.78, Issue 12,124007.
  10. Nojiri S. and Odintsov S. D. (2008): Dark energy, inflation and dark matter from modified F(R) gravity. Problems of modern Theoretical Physics A Volume in honour of Prof. Buchbinder, L. L. in the occasion of his 60th birthday, PP. 266-285(TSPU Publishing, Tomsk).
  11. Shamir, M. F. (2011): Plane symmetric Vacuum Bianchi type-III Cosmology in f (R ).Int J Theor. Phys 50: 637-643.
  12. Sotiriou T. P., Faraoni V (2010): f (R) Theories of Gravity. Rev. Mod. Phys82:451-497.
  13. Sharif, M. and Shamir, M. F. (2010): Plane Symmetric Solutions in f (R) Gravity, Mod. Phys. Lett.A25:1281-1288.
  14. Sharif, M., Shamir, M. F. (2009): Exact solution of Bianchi type-I and V space times in f (R ) theory of gravity. Class. Quantum Gravity Vol.26, No. 23.
  15. Sharif, M., Shamir, M. F. (2010): Non-Vacuum Bianchi Types I and V in f(R) Gravity. Gen. Relativity Gravit. 42, 2643–2655.
  16. Sotiriou, T. P. and Faraoni, V. (2010): f (R) theories of gravity. Rev. Mod. Phys. 82, 451.
  17. Sen and Aygun (2016): Higher dimensional strange quark matter solutions in self creation cosmology. AIP conference Proceedings. Vol. 1722 No.1 AIP Publishing.
  18. Shamir (2016): Exploring plane-symmetric solutions in f (R) gravity. Journal of Experimental and Theoretical Physics 1222(2016):331-337.
  19. Tripade et.al. (2021): LRS Bianchi type-I cosmological model with quark and strange quark matter in f (R ) gravity. Inte. Research Journal of Modernization in Engg. Tec. And Science, Vol.03, Issue 05 May.
  20. TrYilmazet et.al.(2012): Quark and Strange quark matter if f (R) gravity for Bianchi type I and V space times. General Relativity and Gravitation 44.9:2313-2328.

International Journal of Scientific Research in Science and Technology

Downloads

Published

2022-06-30

Issue

Volume 9, Issue 3, May-June-2022

Section

Research Articles

License

Copyright (c) IJSRST

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.

How to Cite

[1]
S. R. Gomkar, Jyotsna Jumale, V. T. Zade "Five-dimensional Plane Symmetric Bianchi Type-I Cosmological model with Quark and Strange Quark Matter in f(R) Theory of Gravity" International Journal of Scientific Research in Science and Technology(IJSRST), Online ISSN : 2395-602X, Print ISSN : 2395-6011,Volume 9, Issue 3, pp.160-167, May-June-2022.