Kantowski-Sachs Cosmological Model with Quadratic Equation of State in Gravity

Authors

  • S.R. Bhoyar Fulsing Naik Mahavidyalaya Pusad 445216 (Maharashtra State, INDIA)
  • V.R. Chirde GSG College Umarkhed
  • S.H. Shekh JDIET ,Yavatmal

Keywords:

Kantowski-Sachs universe, QEoS, gravity, VDP.

Abstract

In this paper, we have investigated Kantowski-Sachs cosmological model with Quadratic Equation of State (QEoS) in the framework of Teleparallel Gravity, so called gravity, where T denotes the torsion scalar. The behavior of accelerating universe is discussed by considering Linear  gravity i.e. . The solutions of field equations are obtained by using variable deceleration parameter. The physical behavior of these models has been discussed using some physical quantities. Also, the function of the torsion scalar for the universe is evaluated.

 

Keywords: Kantowski-Sachs universe, QEoS, gravity, VDP

Cite this Article

S.R. Bhoyar, V.R. Chirde, S.H. Shekh. Kantowski-Sachs Cosmological Model with Quadratic Equation of State in  Gravity. Research & Reviews: Journal of Physics. 2019; 8(1): 83–91p.

Author Biographies

S.R. Bhoyar, Fulsing Naik Mahavidyalaya Pusad 445216 (Maharashtra State, INDIA)

Assistant Professor  & Head ,Department of Mathematics

V.R. Chirde, GSG College Umarkhed

Associate Professor and HOD (Mathematics)

S.H. Shekh, JDIET ,Yavatmal

Assistant Professor   ,Department of Mathematics

References

References:

Perlmutter S et al.:Astrophys. J. 483(1997) 565-581; Perlmutter S et al. Nature 391(1998) 51-54; Perlmutter S et al.:Astrophys. J. 517 (1999)565-586

Riess A et al.: Astron. J. 116 (1998)1009-1038

Spergel D et al.:Astrophys. J. Suppl. 148 (2003)175-194

Verde L et. al.: Mon. Not. R. Astron. Soc. 335 (2002) 432-440

Hinshaw G et al.:Astrophys. J. Suppl. 180 (2009) 225-245

Capozziello S, Martin-Moruno P, Rubano C.: Phys. Lett. B664(2008) 12-15 [7] Azadi A, Momeni D, Nouri-Zonoz M.: Phys. Lett. B670 (2008) 210-214

Katore S.D., Shaikh A.Y.: Afr.Rev.Phys. 9 (2014) 0055

Miranda V, Joras S, Waga I, Quartin M.: Phys. Rev. Lett. 102 (2009) 221101

Sharif M, Yousaf Z.: J. Cosmo. Astropart. Phys. (2014)06- 019

Bhoyar S. R., Chirde V. R., Shekh S. H.: Prespacetime J.7 (3) 456 (2016)

Chirde V. R., Shekh S. H.: Bulgerian journal of physics; 43 (2016) 57

Chirde V. R., Shekh S. H.: J. of Theoretical Phy. and Cryptography, 13 (2017)

Sharif M, Zubair M: JCAP 03028 (2012)

Katore S, Chopde B, Shekh S: Int. J. Basic and Appl. Res. (Spe. Issue) 283 (2012)

Katore S.D., Shaikh A.Y.,Prespacetime Journal 3 (11)

Sahoo P, Mishra B, Chakradhar G, Reddy D: Eur. Phys. J. Plus 129, 49 (2014)

Chirde V. R., Shekh S. H.: Astrofiz. 58 (2015) 1, 121-133

Bhoyar S. R.,Chirde V. R., Shekh S. H.: Inter. J. of Adv. Resea. 3 (9) 492 (2015)

Bhoyar S. R., Chirde V. R., Shekh S. H.: International Journal of Applied Research; 6 (11) (2016) 398-410.

Chirde V. R., Shekh S. H.: in J. of astrophysics and astronomy; (2016) 37:15; DOI 10.1007/s12036-016-9391-z.

Bamba K.et al.: JCAP 1101, 021 (2011)

Sharif M and Rani S.:Phys. Scr. 84 055005(2011)

Wang T.:Phys. Rev. D84 024042(2011)

Bohmer C, Mussa A and Tamanini N.:Class. Quant. Grav.28 245020(2011)

Chirde V. R., Shekh S. H.: Bulgerian journal of physics; 41 (2014) 258–273.

Chirde V. R., Shekh S. H.: The African Review of Physics (2015) 10:0020, 145-151.

Chirde V. R., Shekh S. H.: The African Review of Physics (2015) 10:0057, 475-484.

Bhoyar S. R., Chirde V. R., Shekh S. H.: Astrophysics, 60 (2) (2017) 277-289.

Shekh S. H., Shaikh A. Y., Chirde V. R.: UGC sponsored national conference recent trends in mathematics & statistics, ISBN: 978‐81‐925005‐4‐6

Collins C. B.: J. Math. Phys. 18, 2116 (1977).

Pradhan A., Shahi J., Singh C.:arXiv:gr-qc/0608070v2 (2006)

Berman M.:NuovoCimonto B 74 (1983) 182

Berman M., Gomide F.:Gen. Rel. Grav. 20 (1988) 191

Singh A., Debnath U.:Int. J. Theor. Phys.48 (2) (2009) 351

Downloads

Published

2019-04-30

Issue

Section

Research Article