Study of Anisotropic LRS Bianchi type-I Universe with Variable Deceleration Parameter in f (R, T) Gravity

Authors

  • R. P. Wankhade Jawaharlal Darda Institute of Engineering and Technology, Yavatmal, India Author
  • A. Ameen Jawaharlal Darda Institute of Engineering and Technology, Yavatmal, India Author

DOI:

https://doi.org/10.32628/IJSRST2411344

Keywords:

LRS Bianchi type-I universe, theory of gravity, cosmological constant, f (R, T)

Abstract

In the present investigation LRS Bianchi type-I universe with variable deceleration parameter in f (R, T)    theory of gravity is considered.  I obtain the gravitational field equations in the metric formalism, which follows from the covariant divergence of the stress-energy tensor. The field equations correspond for a specific choice of f (R, T) = f1 (R)+ f2 (T), with the individual superior functions  and . Allowing for time dependent deceleration parameter the solutions of the field equations and some physical and geometric properties of the model along with physical acceptability of the solutions have also been discussed in details.

Downloads

Download data is not yet available.

References

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

S. Perlmutter et al., Astrophys. J. 517, 565, 1999

P. de Bernardis, et al., Nature 404, 955, 2000

S. Perlmutter, et al., Astrophys. J. 598, 102, 2003

S. Perlmutter, et al., Nature (Lond.) 391, 51, 1998 DOI: https://doi.org/10.1038/34124

S. Nojiri, S. D. Odintsov., Int. J. Geometrical Method Modern Phy- sics, 115, 1, 2007 DOI: https://doi.org/10.1142/S0219887807001928

S. Nojiri, S. D. Odintsov, arXiv: 0801.4843 [astro-ph]

T. Harko, F. S. N. Lobo, Eur. Phys. J. C 70, 373, 2010 DOI: https://doi.org/10.1140/epjc/s10052-010-1467-3

T. Harko, F. S. N. Lobo, S. Nojiri, S. D. Odintsov: Phys. Rev. D 84, 024020, 2011 DOI: https://doi.org/10.1103/PhysRevD.84.024020

R. Myrzakulov, Phys. Rev. D 84, 024020, 2011

M. Sharif, M. Zubair, JCAP 03028, 2012 DOI: https://doi.org/10.1088/1475-7516/2012/03/028

M. J. S. Houndjo, Int. J. Mod. Phys. D 21, 1250003 , 2012 DOI: https://doi.org/10.1142/S0218271812500034

K. S. Adhav, Astrophys. Space Sci 339, 365 , 2012 DOI: https://doi.org/10.1007/s10509-011-0963-8

D. R. K. Reddy, R. Santikumar, R. L. Naidu, Astrophys. 1 Space Sci. 342, 249, 2012 DOI: https://doi.org/10.1007/s10509-012-1158-7

D. R. K. Reddy, R. L. Naidu, B. Satyanarayana, Int. J. Theor. Phys. 51, 3222, 2012 DOI: https://doi.org/10.1007/s10773-012-1203-x

S. D. Katore, B. B. Chopde, S. H. Shekh, Int. J. Basic and app. Res. (Spe. issue) 283, 2012

S. D. Katore, A. Y. Shaikh, Proceedings of IC-BEST 7, 2012

S. Chandel, S. Ram., Indian J Phys DOI 10.1007/s12648-013-0362-9, 2013

R. Chaubey, A. K. Shukla, Astrophys Space Sci 343, 415, 2013 DOI: https://doi.org/10.1007/s10509-012-1204-5

V. R. Chirde, S. H. Shekh, J. of Ast. and Astronomy, DOI 10.1007/s12036-016-9391-z , 2016

V. R. Chirde, S. H. Shekh, Astrophysica J; 58(1) DOI 10.1007/s10511-015-9369-6, 2015 DOI: https://doi.org/10.1007/s10511-015-9369-6

S. R. Bhoyar, V. R. Chirde, S. H. Shekh, Int. J. of Adv. Research 3 (9) 492, 2015

Ø. Grøn, S. Hervik, Springer, New York , 2007

T. Singh, A. Beesham, W. S. Mbokazi, Gen. Relativ. Gravit. 30, 537, 1998 DOI: https://doi.org/10.1023/A:1018866107585

V. Sahni, A. Starobinsky, Int. J. Mod. Phys. D 9, 373, 2000 DOI: https://doi.org/10.1016/S0218-2718(00)00054-2

C.P. Singh, S. Kumar., Int. J. of Theo. Phy. 47, 12, 2008 DOI: https://doi.org/10.1007/s10773-008-9752-8

A. Pradhan, O.P. Pandey., Int. J. of Mod. Phy. D. 12, 7, 2003 DOI: https://doi.org/10.1142/S0218271803003761

N. Ahmed, A. Pradhan., arXiv: 1303.3000v1 [physics.gen-ph], 2013

R. P. Wankhade, A. S. Bansod, Int. J. of Advd Astronomy, 6 (1) 1, 2018 DOI: https://doi.org/10.14419/ijaa.v6i1.9358

L. D. Landau, E. M. Lifshitz., The Classical Theory of Fields, Oxford , 1998

F. G. Alvarenga, M. J. Houndjo, A. Monwanou, J. ChabiOrou.:J. Mo. Phy. 4, 130, 2013 DOI: https://doi.org/10.4236/jmp.2013.41019

N. J. Poplawski:arXiv:gr-qc/0608031v2 , 2006

C. B. Collins, E.N. Glass, D.A. Wilkinson.: Gen. Rel. Grav. 12, 805, 1980 DOI: https://doi.org/10.1007/BF00763057

O. Akarsu, T. Dereli, Int. J. Theor. Phys. 51, 612, 2012 DOI: https://doi.org/10.1007/s10773-011-0941-5

Abdussattar and S. Prajapati, Astrophys. Space Sci. 331, 65, 2011 DOI: https://doi.org/10.1007/s10509-010-0461-4

K. A. Bronnikov, E. N. Chudaeva, G. N. Shikin, Class. Quantum Grav. 21, 3389, 2004 DOI: https://doi.org/10.1088/0264-9381/21/14/005

D. R. K. Reddy, et al., Adv. in High Energy Phy. doi.org/10.1155/2013/609807, 5, 2013

S. R. Bhoyar et al., Astrophys, 60 (2), DOI 10.1007/s10511-017-9480-y, 2017

A. G. Riess, et al., Astrophys. J., 607, 665, 2004

J. L. Tonry, et al., Astrophys. J. 594, 1, 2003

A. Clocchiatti, et al., Astrophys. J. 642, 1, 2006

Y. Padminin, S. A. Faruqui, A. Pradhan, ARPN Journal Vol. 3, 2013

Downloads

Published

20-06-2024

Issue

Section

Research Articles

How to Cite

Study of Anisotropic LRS Bianchi type-I Universe with Variable Deceleration Parameter in f (R, T) Gravity. (2024). International Journal of Scientific Research in Science and Technology, 11(3), 671-678. https://doi.org/10.32628/IJSRST2411344

Similar Articles

1-10 of 18

You may also start an advanced similarity search for this article.