Magnetized Strange Quark Models in Lyra Theory

Abstract

In this study, the behavior of magnetized strange quark matter (MSQM) distribution in Lyra theory was investigated for homogeneous anisotropic Bianchi III, locally rotationally symmetric (LRS) Bianchi I, and Kantowski-Sachs universe models. We have used the equations of state, anisotropy, and linearly varying deceleration parameters to obtain the exact solutions of field equations in Lyra theory. When switching from the anisotropic universe model to the isotropic universe model, the magnetic field was not observed in the LRS Bianchi I universe. Besides, the graphs of the dynamic quantities obtained for each universe model were analyzed in detail. Finally, we inquire whether further research should be conducted.

Keywords

• Magnetized strange quark matter
• Lyra theory
• LRS Bianchi I
• Kantowski-Sachs
• Bianchi III

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, \emph{Observational Evidence From Supernovae for an Accelerating Universe and a Cosmological Constant}, The Astronomical Journal 116 (3) (1998) 1009{--}1038.
2. D. N. Spergel, L. Verde, H. V. Peiris, E. Komatsu, M. 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, \emph{First-Year Wilkinson Microwave Anisotropy Probe (WMAP)* Observations: Determination of Cosmological Parameters}, The Astrophysical Journal Supplement Series 148 (1) (2003) 175{--}194.
3. G. Lyra, \emph{Über eine Modifikation der Riemannschen Geometrie}, Mathematische Zeitschrift 54 (1) (1951) 52{--}64.
4. S. D. Katore, D. V. Kapse, \emph{Dynamical Behavior of Coupled Magnetized Dark Energy in Lyra’s Geometry}, Astrophysics 62 (3) (2019) 415{--}433.
5. A. K. Mishra, U. K. Sharma, A. Pradhan, \emph{A Comparative Study of Kaluza-Klein Model with Magnetic Field in Lyra Manifold and General Relativity}, New Astronomy 70 (2019) 27{--}35.
6. S. D. Katore, S. P. Hatkar, \emph{Kaluza Klein Universe with Magnetized Anisotropic Dark Energy in General Relativity and Lyra Manifold}, New Astronomy 34 (2015) 172{--}177.
7. S. Ram, M. K. Verma, \emph{Dynamics of Bianchi Type-VI0 Anisotropic Dark Energy Cosmological Model with Massive Scalar Field in Lyra Manifold}, Indian Journal of Physics 96 (4) (2022) 1269{--}1275.
8. K. Das, J. Bharali, \emph{Higher-Dimensional Anisotropic Modified Holographic Ricci Dark Energy Cosmological Model in Lyra Manifold}, Astrophysics 64 (2) (2021) 258{--}275.

9. R. Raushan, S. Angit, R. Chaubey, \emph{Linear and Center Manifold Analysis of FRW Cosmological Model with Variable Equation of State in Lyra Geometry}, The European Physical Journal Plus 136 (4) (2021) Article Number 440 18 pages.
10. R. L. Naidu, Y. Aditya, G. Ramesh, D. R. K. Reddy, \emph{Axially Symmetric Bianchi Type-I Cosmological Model of the Universe in the Presence of Perfect Fluid and an Attractive Massive Scalar Field in Lyra Manifold}, Astrophysics and Space Science 365 (5) (2020) Article Number 91 5 pages.
11. C. Aktaş, S. Aygün, \emph{Magnetized Strange Quark Matter Solutions in f(R, T) Gravity with Cosmological Constant}, Chinese Journal of Physics 55 (1) (2017) 71{--}78.
12. S. Aygün, C. Aktaş, İ. Yılmaz, \emph{Non-Existence of a Massive Scalar Field for the Marder Universe in Lyra and Riemannian Geometries}, Journal of Geometry and Physics 62 (1) (2012) 100{--}106.
13. S. Kalkan, C. Aktaş, \emph{Behavior of Magnetized Strange Quark Matter in 5D Cosmological Model}, Iranian Journal of Science and Technology, Transactions A: Science 46 (2022) 1505{--}1511.
14. S. Kalkan, C. Aktaş, S. Aygün, \emph{Does Magnetized Strange Quark Matter Exist in the Early Universe?}, Modern Physics Letters A 37 (39-40) (2022) 2250251.
15. S. Kalkan, C. Aktaş, \emph{Bianchi {VI}_0 Universe with Magnetized Strange Quark Matter in f(R, T) Theory}, Journal of New Theory (37) (2021) 76{--}85.
16. E. Güdekli, M. J. Kamran, M. Zubair, I. Ahmed, \emph{Study of Anisotropic Strange Stars in Krori Barua Metric under f(T,$\mathcal{T}$) Gravity}, Chinese Journal of Physics 77 (2022) 592{--}604.
17. R. A. A. Khan, R. K. Tiwari, J. Bharali, A. Bouali, G. D. A. Yıldız, E. Güdekli, \emph{Hyperbolic Scenario of Accelerating Universe in Modified Gravity}, Symmetry 15 (6) (2023) 1238 18 pages.
18. D. Can, E. Güdekli, \emph{An Analysis for Conservative and Non-conservative f(R, T) Gravity Models}, Asian Journal of Research and Reviews in Physics 5 (1) (2021) 1{--}11.
19. A. Abebe, A. H. A. Alfedeel, D. Sofuoğlu, E. I. Hassan, R. K. Tiwari, \emph{Perturbations in Bianchi-V Spacetimes with Varying $\Lambda$, $G$ and Viscous Fluids}, Universe 9 (2) (2023) 61 19 pages.
20. R. K. Tiwari, S. Kumar, V. K. Dubey, D. Sofuoğlu, \emph{Role of Constant Jerk Parameter in f(R,T) Gravity}, International Journal of Geometric Methods in Modern Physics 20 (3) (2023) 2350049 12 pages.
21. D. K. Sen, K. A. Dunn, \emph{A Scalar-Tensor Theory of Gravitation in a Modified Riemannian Manifold}, Journal of Mathematical Physics 12 (4) (1971) 578{--}586.
22. T. Vinutha, V. U. M. Rao, B. Getaneh, M. Mengesha, \emph{Dark Energy Cosmological Models with Cosmic String}, Astrophysics and Space Science 363 (9) (2018) 188 14 pages.
23. J. D. Barrow, R. Maartens, C. G. Tsagas, \emph{Cosmology with Inhomogeneous Magnetic Fields}, Physics Reports 449 (6) (2007) 131{--}171.
24. C. G. Tsagas, J. D. Barrow, \emph{A Gauge-Invariant Analysis of Magnetic Fields in General-Relativistic Cosmology}, Classical and Quantum Gravity 14 (9) (1997) 2539{--}2562.
25. Ö. Akarsu, T. Dereli, \emph{Cosmological Models with Linearly Varying Deceleration Parameter}, International Journal of Theoretical Physics 51 (2) (2012) 612{--}621.
26. J. I. Kapusta, P. V. Landshoff, \emph{Finite-Temperature Field Theory}, Journal of Physics G: Nuclear and Particle Physics 15 (3) (1989) 267{--}285.