Bianchi Type 〖VI〗_0 One Dimensional Cosmic String for Bulk Viscous Fluid in f(R,T)Theory of Gravity
DOI:
https://doi.org/10.32628/IJSRST2512127Keywords:
Bianchi type 〖VI〗_0, Bulk viscous fluid, one dimensional cosmic String, f(R,T) gravityAbstract
In the framework of f(R,T) gravity proposed by Harko et al. spatially homogeneous and anisotropic Bianchi type -〖VI〗_0 cosmological model is considered when the source for energy momentum tensor is a bulk viscous fluid containing one dimensional cosmic string. To solve the field equations completely, we have considered three different cases: (i) the expansion scalar of the space-time is proportional to the shear scalar given by Collins which gives a relationship between metric potentials (ii) the law of variation of Hubble’s parameter proposed by Berman which yields the constant deceleration parameter. (iii) A barotropic equation of state is assumed to get a determinate solution of the field equations. Also, the bulk viscous pressure is assumed to be proportional to the energy density. The physical behaviour of the investigated model is discussed and also the graphical behaviour of some parameters is discussed.
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A.G. Riess, A. V. Filippenko, P. Challis, A. Clocchiatti, A. Diercks, P. M. Garnavich, et al., Astronomical J. 116, 1009 (1998) DOI: https://doi.org/10.1086/300499
S. Perlmutter, G. Aldering, G. Goldhaber, R. A. Knop, P. Nugent, et al., Astrophysics. J. 517, 565 (1999) DOI: https://doi.org/10.1086/307221
J.L. Tonry, BP Schmidt, B Barris, P Candia, P Challis, et al., Astrophysics. J. 594, 1–24 (2003) DOI: https://doi.org/10.1086/376865
A. Clocchiatti, BP Schmidt, AV Filippenko, P Challis, AL Coil, R Covarrubias, et al., Astrophysics. J. 642, 1 (2006) DOI: https://doi.org/10.1086/498491
C.L. Bennet, M. Bay, M. Halpern, G. Hinshaw, C. Jackson, N. Jarosik, et al., Astrophysics. J. Suppl. 148, 1 (2003)
P. de Bernardis, P. Ade, J. J. Bock, J. R. Bond, J. Borrill, A. Boscaleri, et al., Nature 404, 955– 959 (2000) DOI: https://doi.org/10.1038/35010035
S. Hanany, P. Ade, A. Balbi, J. Bock, J. Borrill, A. Boscaleri, et al., Astrophysics. J. Lett. 545, L5 (2000). DOI: https://doi.org/10.1086/317322
T.W.B. Kibble, J. Phys. A Math.Gen.9, 1387 (1976). DOI: https://doi.org/10.1088/0305-4470/9/8/029
Ya. B. Zel’dovich, Mon Not. R.Astron. Soc.192, 663 (1990).
S. I. Nojiri and G. G. Nashed, Phys. Rev. D 108, 024014 (2023). DOI: https://doi.org/10.1103/PhysRevD.108.024014
S. I. Nojiri, S. D. Odintsov, V. K. Oikonomou and A. A. Popov, Nucle. Phys. B 973, 115617 (2021). DOI: https://doi.org/10.1016/j.nuclphysb.2021.115617
Y. Xu, G. Li, T. Harko and S. D. Liang, The Euro. Phys. J. C 79, 1 (2019). DOI: https://doi.org/10.1140/epjc/s10052-019-7207-4
F. Bajardi and S. Capozziello, The Euro. Phys. J. C 83, 531 (2023). DOI: https://doi.org/10.1140/epjc/s10052-023-11703-8
R. Myrzakulov, D. Saez-Gomez and A. Tureanu, Gen. Relat. Gravita. 43, 1671 (2011). DOI: https://doi.org/10.1007/s10714-011-1149-y
H. A. Buchdahl, Monthly Notices of the Royal Astro. Society, Vol. 150, No. 1, pp. 1-8, (1970). DOI: https://doi.org/10.1093/mnras/150.1.1
T. Harko, F. S. N. Lobo, S. Nojiri, and S. D. Odintsov, Physical Review D, Vol. 84, No. 2, p. 024020 (2011). DOI: https://doi.org/10.1103/PhysRevD.84.024020
Shri Ram, S. Chandel., Indian J. Phys., 87, 1283, (2013). DOI: https://doi.org/10.1007/s12648-013-0362-9
D. R. K. Reddy, R. Santhikumar, Global J. Sci. Front. Res. Phys. Space Sci., 13, (2013).
R. Mehta, P. Mehta, Intern. Jour. of Emerging Tech. and Inno. Res., 6, 6(852-861), (2019).
P. Chundawat, P. Mehta, JICR, XII, 274-280, (2020).
D. R. K. Reddy, Ch. Purnachandra Rao, T. Vidyasagar, R. Bhuvana Vijaya, Advances in High Energy Physics, Volume 2013, Article ID 609807, (2013). DOI: https://doi.org/10.1155/2013/609807
M.R. Ugale, S.B. Deshmukh, J. Sci. Res. 16 (1), 17-30 (2024). DOI: https://doi.org/10.3329/jsr.v16i1.62830
Y.S. Solanke, T.D. Nakade, Modern Physics Letters A Vol. 39, No. 5 (2024). DOI: https://doi.org/10.1142/S0217732324500561
T.W.B. Kibble, N. Turok, Phys. Lett. B 116, 141 (1982). DOI: https://doi.org/10.1016/0370-2693(82)90993-5
A. Vilenkin, Phys. Rev. D 23, 852 (1981). DOI: https://doi.org/10.1103/PhysRevD.23.852
P.S. Letelier, Phys. Rev. D 28, 2414 (1983). DOI: https://doi.org/10.1103/PhysRevD.28.2414
G. Goetz, J. Math. Phys. 31, 2683 (1990). DOI: https://doi.org/10.1063/1.528969
J. Stachel, Phys. Rev. D 21, 2171 (1988). DOI: https://doi.org/10.1103/PhysRevD.21.2171
M. Kiran, D. R. K. Reddy, Astrophysics and Space Science, Vol. 346, page 521–524, (2013). DOI: https://doi.org/10.1007/s10509-013-1459-5
Shri Ram, S. Chandel., Astrophysics and Space Science,355:2160 (2014). DOI: https://doi.org/10.1007/s10509-014-2160-z
R. L. Naidu, D. R. K. Reddy, T. Ramprasad, K. V. Ramana., Astrophysics and Space Science, Volume 348, pages 247–252, (2013). DOI: https://doi.org/10.1007/s10509-013-1540-0
D.R.K Reddy, Shobhan Babu, P. Raju, Astrophysics and Space Science, Vol. 353, P. 275–278 (2014). DOI: https://doi.org/10.1007/s10509-014-2024-6
D.D. Pawar, S.N. Bayaskar, A.G. Deshmukh, Rom. Journ. Phys., Vol. 56, Nos. 5–6, P. 842–848, Bucharest, (2011).
K. Pawar, A. K. Dabre, J. Sci. Res. 15 (3), 695-704 (2023) DOI: https://doi.org/10.3329/jsr.v15i3.64173
M. S. Berman, Nuovo Cimento, B, 74, 182 (1983). DOI: https://doi.org/10.1007/BF02721676
C.B Collins, et al. Gen. Relativ. Gravit. 12, 805 (1980) DOI: https://doi.org/10.1007/BF00763057
D.R.K. Reddy, R.L. Naidu, K. Dasu Naidu, T. Ram Prasad, Astrophys Space Sci, 346:261–265, (2013) DOI: https://doi.org/10.1007/s10509-013-1426-1
V. R. Chirde, S. P. Hatkar, and S. D. Katore, Int. J. Mod. Phys. D 29, ID 2050054 (2020). DOI: https://doi.org/10.1142/S0218271820500546
S. R. Bhoyar, V. R. Chirde, and S. H. Shekh, J. Sci. Res. 11, 249 (2019). DOI: https://doi.org/10.3329/jsr.v11i3.39220
S. N. Bayaskar, D. D. Pawar, A. G. Deshmukh, Rom. Journal. Phys., Vol. 54, Nos. 7–8, P. 763–770, Bucharest (2009).
D.D. Pawar, S.N. Bayaskar, V.R. Patil, Bulg. J. Phys. 36,68–75 (2009).
V. G. Mete, V. S. Deshmukh, J. Sci. Res. 15 (2), 351-359 (2023). DOI: https://doi.org/10.3329/jsr.v15i2.61442
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