Bianchi V I_0 Universe with Magnetized Strange Quark Matter in f(R, T) Theory

Abstract

This study discusses f(R,T) theory, one of the alternative theories. It then studies magnetized strange quark matter in the universe model Bianchi V I0, homogeneous and anisotropic. Afterwards, it has determined whether the energy conditions are provided by using the deceleration parameter while obtaining the solutions. Moreover, the evolution of the cosmic universe is examined with the help of graphics and tables.

Keywords

• f(R,T) Theory
• Bianchi V I0
• deceleration parameter

References

1. 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 , The Astronomical Journal 116 (3) (1998) 1009–1038.
2. S. Perlmutter, G. Aldering, G. Goldhaber, R. A. Knop, P. Nugent, P. G. Castro, S. Deustua, S. Fabbro, A. Goobar, D. E. Groom, I. M. Hook, A. G. Kim, M. Y. Kim, J. C. Lee, N. J. Nunes, R. Pain, C. R. Pennypacker, R. Quimby, C. Lidman, R. S. Ellis, M. Irwin, R. G. McMahon, P. Ruiz-Lapuente, N. Walton, B. Schaefer, B. J. Boyle, A. V. Filippenko, T. Matheson, A. S. Fruchter, N. Panagia, H. J. M. Newberg, W. J. Couch, T. S. C. Project, Measurements of Ω and Λ from 42 High-Redshift Supernovae, The Astrophysical Journal 517 (2) (1999) 565–586.
3. 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) Observa- tions: Determination of Cosmological Parameters , The Astrophysical Journal Supplement Series 148 (1) (2003) 175–194.
4. T. Harko, F. S. N. Lobo, S. Nojiri, S. D. Odintsov, f(R,T) Gravity , Physical Review D 84 (2) (2011) 024020.
5. B. Li, J. D. Barrow, D. F. Mota, Cosmology of Modified Gauss-Bonnet Gravity, Physical Review D 76 (4) (2007) 1–9.
6. G. Lyra, Uber Eine Modifikation der Riemannschen Geometrie, Mathematische Zeitschrift 54 (1) (1951) 52–64.
7. R. K. Tiwari, D. Sofuoğlu, V. K. Dubey, Phase Transition of LRS Bianchi Type-I Cosmological Model in f(R,T) Gravity , International Journal of Geometric Methods in Modern Physics 17 (12) (2020) 2050187–1315.
8. R. K. Tiwari, D. Sofuoğlu, S. K. Mishra, Accelerating Universe with Varying Λ in f(R, T) Theory of Gravity , New Astronomy 83 (2021) 101476.

9. M. Zubair, H. Javaid, H. Azmat, E. Gudekli, Relativistic Stellar Model in f(R , T) Gravity using Karmarkar Condition, New Astronomy 88 (2021) 101610.
10. R. K. Tiwari, D. Sofuoğlu, A. Beesham, FRW universe in f(R,T) Gravity, International Journal of Geometric Methods in Modern Physics 18 (7) (2021) 2150104. doi:10.1142/ S0219887821501048.
11. D. Momeni, R. Myrzakulov, E. Güdekli, Cosmological Viable Mimetic f(R) and f(R,T) Theories via Noether Symmetry , International Journal of Geometric Methods in Modern Physics 12 (10) (2015) 1550101.
12. D. Sofuoğlu, Gödel Universe in f(R,T) Gravity , International Journal of Modern Physics D 28 (7) (2019) 1950089.
13. S. Aygün, Various Dark Energy Models with Time-Varying G and Λ in f(R,T) Gravitation Theory, Modern Physics Letters A 34 (34) (2019) 1950280.
14. A. Kabak, S. Aygün, Scalar Field Solutions for Anisotropic Universe Models in Various Gravitation Theories, International Journal of Geometric Methods in Modern Physics 17 (2) (2020) 2050025–586.
15. 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.
16. P. K. Sahoo, Kaluza-Klein Universe Filled with Wet Dark Fluid in f(R,T) Theory of Gravity, Acta Physica Polonica B, Proceedings Supplement 10 (2) (2017) 369.
17. 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) 114.
18. P. K. Sahoo, P. Sahoo, B. K. Bishi, S. Aygu¨n, Magnetized Strange Quark Model with Big Rip Singularity in f(R,T) Gravity , Modern Physics Letters A 32 (21) (2017) 1750105.
19. J. I. Kapusta, Finite-Temperature Field Theory, 1993.
20. V. Singh, A. Beesham, LRS Bianchi I Model with Strange Quark Matter and Λ(t) in f(R , T) Gravity, New Astronomy 89 (2021) 101634.
21. S. D. Katore, S. P. Hatkar, S. N. Bayaskar, Some Special Solutions in Bianchi Type VI0 Cos- mological Models with Modified Chaplygin Gas in General Relativity, International Journal of Modern Physics D 24 (2) (2015) 1550017.
22. C. Aktaş, Magnetized Strange Quark Matter in Reconstructed f(R,T) Gravity for Bianchi I and V Universes with Cosmological Constant , Turkish Journal of Physics 41 (5) (2017) 469–476.
23. A. Pradhan, R. Bali, Magnetized Bianchi Type V I0 Barotropic Massive String Universe with Decaying Vacuum Energy Density Λ, arXiv e-prints (2008) arXiv:0805.3469.
24. C. Aktaş, S. Aygün, P. K. Sahoo, Relationship between Magnetic Field and Anisotropy Parameter in Gravitation Theories, Modern Physics Letters A 33 (24) (2018) 1850135.
25. 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. arXiv:1707.00979.
26. C. Aktas, I. Yilmaz, Magnetized Quark and Strange Quark Matter in the Spherical Symmetric Space-Time Admitting Conformal Motion, General Relativity and Gravitation 39 (6) (2007) 849– 862. arXiv:0705.2930.
27. O. Özdemir, C. Aktaş, Anisotropic Universe Models with Magnetized Strange Quark Matter in f(R) Gravity Theory, Modern Physics Letters A 35 (14) (2020) 2050111–1258.
28. C. Aktaş, S. Aygün, Magnetized Strange Quark Matter Solutions in f(R,T) Gravity with Cosmo- logical Constant , Chinese Journal of Physics 55 (1) (2017) 71–78.
29. S. Aygün, H. Çağlar, D. Taşer, C. Aktaş, Quark and Strange Quark Matter Solutions for Higher Dimensional FRW Universe in Lyra Geometry, European Physical Journal Plus 130 (2015) 12.
30. S. Aygün, C. Aktaş, İ. Yılmaz, Strange Quark Matter Solutions for Marder’s Universe in f(R,T) Gravity with Λ, Astrophysics Space Science 361 (12) (2016) 380.
31. 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) 2050263.
32. C. G. Tsagas, J. D. Barrow, A Gauge-Invariant Analysis of Magnetic Fields in General- Relativistic Cosmology, Classical and Quantum Gravity 14 (9) (1997) 2539–2562.
33. J. D. Barrow, R. Maartens, C. G. Tsagas, Cosmology with Inhomogeneous Magnetic Fields, Physics Reports 449 (6) (2007) 131–171.
34. H. Sotani, K. Kohri, T. Harada, Restricting Quark Matter Models by Gravitational Wave Observation, Physical Review D (2004) 084008.
35. S. K. J. Pacif, K. Myrzakulov, R. Myrzakulov, Cosmological Parametrizations and Their Scalar Field Descendents, International Journal of Geometric Methods in Modern Physics 14 (7) (2017) 1750111.