Homogeneous and anisotropic universe models with bouncing deceleration parameter in $f(R,T)$ theory

Yıl 2023, Cilt: 12 Sayı: 2, 118 - 130, 31.08.2023

Aysel Kızılcık Can Aktaş

https://doi.org/10.54187/jnrs.1339772

Öz

In this study, we have investigated the cloud of string with perfect fluid (CSPF) matter distribution for the homogeneous and anisotropic (Bianchi I, III, and Kantowski-Sachs) universe models in the $f(R,T)$ theory. We have used the\, bouncing\, deceleration parameter, anisotropy parameter, and equation of state to obtain the exact solutions of field equations. The obtained physical and kinematic quantities were analyzed with the help of graphics. If the anisotropy parameter is zero, then our model becomes an isotropic model of the universe and the string tension vanishes in LRS Bianchi I metric. Finally, we discuss the need for further research.

Anahtar Kelimeler

Bouncing deceleration parameter, Cloud of string with perfect fluid, Kantowski-Sachs, Bianchi I, Bianchi III

Kaynakça

• A. G. Riess, A. V. Filippenko, P. Challis, A. Clocchiatti, A. Diercks, P. M. Garnavich, R. L. Gilliland, C. J. Hogan, S. Jha, R. P. Kirshner, B. Leibundgut, M. M. Phillips, D. Reiss, B. P. Schmidt, R. A. Schommer, R. C. Smith, J. Spyromilio, C. Stubbs, N. B. Suntzeff, J. Tonry, Observational evidence from supernovae for an accelerating universe and a cosmological constant, Astronomical Journal 116 (3) (1998) 1009-1038.
• D. N. Spergel, L. Verde, H. V. Peiris, E. Komatsu, M. R. Nolta, C. L. Bennett, M. Halpern, G. Hinshaw, N. Jarosik, A. Kogut, M. Limon, S. S. Meyer, L. Page, G. S. Tucker, J. L. Weiland, E.Wollack, E. L.Wright, First-year wilkinson microwave anisotropy probe (WMAP) observations: determination of cosmological parameters, The Astrophysical Journal Supplement Series 148 (1) (2003) 175-194.
• C. Brans, R. H. Dicke, Mach’s principle and a relativistic theory of gravitation, Physical Review 124 (3) (1961) 925-935.
• S. M. Carroll, V. Duvvuri, M. Trodden, M. S. Turner, Is cosmic speed-up due to new gravitational physics?, Physical Review D 70 (4) (2004) Article ID 043528 5 pages.
• T. Harko, F. S. N. Lobo, S. Nojiri, S. D. Odintsov, $f(r,t)$ gravity, Physical Review D 84 (2) (2011) Article ID 024020 11 pages.
• S. Aygün, C. Aktaş, İ. Yılmaz, Strange quark matter solutions for Marder’s universe in $f(r,t)$ gravity with Λ, Astrophysics and Space Science 361 (12) (2016) Article Number 380 6 pages.
• S. Aygün, C. Aktaş, P. K. Sahoo, B. K. Bishi, Scalar field cosmology in $f(r,t)$ gravity with $Λ$, Gravitation and Cosmology 24 (3) (2018) 302-307.
• C. Aktaş, S. Aygün, Magnetized strange quark matter solutions in $f(r, t)$ gravity with cosmological constant, Chinese Journal of Physics 55 (1) (2017) 71-78.
• C. Aktaş, S. Aygün, P. K. Sahoo, Relationship between magnetic field and anisotropy parameter in gravitation theories, Modern Physics Letters A 33 (24) (2018) Article ID 1850135 18 pages.
• D. D. Pawar, G. G. Bhuttampalle, P. K. Agrawal, Kaluza-Klein string cosmological model in $f(r,t)$ theory of gravity, New Astronomy 65 (2018) 1-6.
• T. Kanakavalli, G. A. Rao, LRS Bianchi type-I string cosmological models in $f(r,t)$ gravity, Astrophysics and Space Science 361 (7) (2016) Article Number 206 6 pages.
• P. Sahoo, LRS Bianchi type-I string cosmological model in $f(r,t)$ gravity, Fortschritte der Physik 64 (4-5) (2016) 414-415.
• V. U. M. Rao, D. C. P. Rao, Bianchi type-V string cosmological models in $f(r,t)$ gravity, Astrophysics and Space Science 357 (1) (2015) Article Number 77 5 pages.
• S. Rani, J. K. Singh, N. K. Sharma, Bianchi type-III magnetized string cosmological models for perfect fluid distribution in $f(r,t)$ gravity, International Journal of Theoretical Physics 54 (5) (2015) 1698–1710.
• B. Mishra, P. K. Sahoo, Bianchi type VI$_h$ perfect fluid cosmological model in $f(r,t)$ theory, Astrophysics and Space Science 352 (1) (2014) 331-336.
• G. C. Samanta, S. N. Dhal, Higher dimensional cosmological models filled with perfect fluid in $f(r,t)$ theory of gravity, International Journal of Theoretical Physics 52 (4) (2013) 1334-1344.
• R. Nagpal, J. K. Singh, S. Aygün, FLRW cosmological models with quark and strange quark matters in $f(r,t)$ gravity, Astrophysics and Space Science 363 (6) (2018) Article Number 114 12 pages.
• P. K. Sahoo, P. Sahoo, B. K. Bishi, S. Aygün, Magnetized strange quark matter in $f(r,t)$ gravity with bilinear and special form of time varying deceleration parameter, New Astronomy 60 (2018) 80-87.
• P. K. Sahoo, P. Sahoo, B. K. Bishi, S. Ayg¨un, Magnetized strange quark model with big rip singularity in $f(r,t)$ gravity, Modern Physics Letters A 32 (21) (2017) Article ID 1750105 19 pages.
• H. Çağlar, S. Aygün, Higher dimensional FRW universe solutions in creation field cosmology, in: B. Akkuş, Y. Öktem, G. S. Doğan, F. Güzeçimen (Eds.), Turkish Physical Society 32nd International Physics Congress, Vol. 1815 of American Institute of Physics Conference Series, 2017, pp. 1-4.
• C. Kömürcü, C. Aktaş, Investigation of the magnetized string distribution in the marder universe with the cosmological term in f$(r,t)$ theory, Modern Physics Letters A 35 (32) (2020) Article ID 2050263 17 pages.
• J. P. Morais Graça, I. P. Lobo, I. G. Salako, Cloud of strings in $f(R)$ gravity, Chinese Physics C 42 (6) (2018) Article ID 063105 9 pages.
• S. Sharma, L. Poonia, V. Maheshwari, String cosmological model in Bianchi type ix inflationary universe with flat potential, in: S. Das, S. Paul, K. Chakraborty (Eds.), International Conference on Innovative Research on Renewable Energy Technologies, Vol. 785 of IOP Conference Series: Earth and Environmental Science, Malda, West Bengal, India, 2021, pp. 1-7.
• M. Vijaya Santhi, T. Chinnappalanaidu, Strange quark matter cosmological models attached to string cloud in $f(r)$ theory of gravity, Indian Journal of Physics 96 (3) (2022) 953-962.
• Y. Sobhanbabu, M. Vijaya Santhi, Five-dimensional strange quark matter cosmological model with string cloud, International Journal of Geometric Methods in Modern Physics 20 (7) (2023) Article ID 2350108.
• Abdussattar, S. R. Prajapati, Role of deceleration parameter and interacting dark energy in singularity avoidance, Astrophysics and Space Science 331 (2) 657-663.