Dynamics of String Cosmological Model in f(R,Lm) Theory of Gravity

Keywords: f(R,Lm)gravity, String Cosmological Model, Power law, Hybrid expansion law

Abstract

The present paper examines the FLRW model with cosmic string within the framework of f(R, Lm) gravity, considering two different forms of f(R, Lm) gravity such as f(R, Lm) = R/2 + Lηm + β and f(R, Lm) = Λe[(R/2Λ)+(Lm/Λ)], where η, β and Λ are free model parameters. The solutions of the models are obtained using both, the power law and the hybrid expansion law. The resulting physical and dynamical parameters of the models analyzed and presented through graphical representations.

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Author Biographies

S.D. Katore, Department of Mathematics, Sant Gadge Baba Amravati University, Amravati, India

Ex-Professor and Head, Department of Mathematics, 

Sant Gadge Baba Amravati University, Amravati. Maharashtra

P.R. Agrawal, Department of Mathematics, Brijlal Biyani Science College, Amravati, India

Dr. Prachi R. Agrawal

Associate Professor and Head, Department of Mathematics, Brijlal Biyani Science College, Amravati. Maharashtra. India.

H.G. Paralikar, Department of Mathematics, Sant Gadge Baba Amravati University, Amravati, India

Harshal Gajanan Paralikar, Department of Mathematics, Sant Gadge Baba Amravati University, Amravati, India

A.P. Nile, Department of Mathematics, Brijlal Biyani Science College, Amravati, India

Ankush Nile, Department of Mathematics, Brijlal Biyani Science College, Amravati, India

References

Adhav, K.S., Gadodia, P.S., Bansod, A.S., “Bianchi Type-I String Cosmological Model in Creation-Field,” International Journal of Theoretical Physics, 50, 2720-2736 (2011). https://doi.org/10.1007/s10773-011-0770-6

Adhav, K.S., “Bianchi Type-III Cosmic Strings Cosmological Model in f(R) Theory of Gravity,” Bulgarian Journal of Physics, 39(3), 197-206 (2012). https://www.bjp-bg.com/papers/bjp2012_3_197-206.pdf

Agrawal, P.R., Nile, A.P., “Accelerating Universe with Wet Dark Fluid in Modified Theory of Gravity,” Astronomy and Computing, 48, 100847 (2024). https://doi.org/10.1016/j.ascom.2024.100847

Agrawal, P.R., Nile, A.P., “Exploring f (R,T) Theory with Polytropic Equation of State,” International Journal of Applied and Computational Mathematics, 10(1), 15 (2024). https://doi.org/10.1007/s40819-023-01642-z

Bishi, B.K., Mahanta, K.L., “Bianchi Type-V Bulk Viscous Cosmic String n Gravity with Time Varying Deceleration Parameter,” Advances in High Energy Physics, 2015, 91403 (2015). https://doi.org/10.1155/2015/491403

Carvalho, G.C., Guimarães, M.E.X., Mesquita, P.O., Neto, J.L., “Formation and Evolution of Wakes in the Spacetime Generated by a Cosmic String in f(R) Theory of Gravity,” preprint arXiv:2110.02353, (2021). https://doi.org/10.48550/arXiv.2110.02353

da Silva, M.R., “Cosmic Strings in Modified Theories of Gravity”, Master's thesis, Universidade do Porto (Portugal), 2021. [8] Dasunaidu, K., Aditya, Y., Reddy, D.R.K., “Cosmic Strings in a Five Dimensional Spherically Symmetric Background in f(R,T) Gravity,” Astrophysics and Space Science, 363(7), 158 (2018). https://doi.org/10.1007/s10509-018-3380-4

Garg, R., Singh, G.P., Lalke, A.R., Ray, S., “Cosmological Model with Linear Equation of State Parameter in f(R, Lm) Gravity,” preprint arXiv:2310.17340, (2023). https://doi.org/10.48550/arXiv.2310.17340

Harko, T., Lake, M.J., “Cosmic Strings in f(R, Lm) Gravity,” The European Physical Journal C, 75, 60-78 (2015). https://doi.org/10.1140/epjc/s10052-015-3287-y

Harko, T., Lobo, F.S., “f(R,Lm) Gravity,” The European Physical Journal C, 70, 373-379 (2010). https://doi.org/10.1140/epjc/s10052-010-1467-3

Harko, T., Lobo, F.S., “Generalized Curvature-Matter Couplings in Modified Gravity,” Galaxies, 2(3), 410-465 (2014). https://doi.org/10.3390/galaxies2030410

Harko, T., Lobo, F.S., Mimoso, J.P., Pavón, D., “Gravitational Induced Particle Production through a Nonminimal Curvature–Matter Coupling,” The European Physical Journal C, 75, 1-15 (2015). https://doi.org/10.1140/epjc/s10052-015-3620-5

Hatkar, S.P., Gore, S.V., Katore, S.D., “Kasner Type Magnetized String Cosmological Models in f(R, T) Gravity,” Serbian Astronomical Journal, (197), 1-11 (2018). https://doi.org/10.2298/SAJ1897001H

Jaybhaye, L.V., Mandal, S., Sahoo, P.K., “Constraints on Energy Conditions in f(R, Lm) Gravity,” International Journal of Geometric Methods in Modern Physics, 19(04), 2250050 (2022b). https://doi.org/10.1142/S0219887822500505

Jaybhaye, L.V., Solanki, R., Sahoo, P.K., “Bouncing Cosmological Models in f(R, Lm) Gravity,” Physica Scripta, 99(6), 065031 (2024). https://doi.org/10.1088/1402-4896/ad4838

Jaybhaye, L.V., Solanki, R., Mandal, S., Sahoo, P.K., “Cosmology in f (R, Lm) gravity,” Physics Letters B, 831, 137148 (2022a). https://doi.org/10.1016/j.physletb.2022.137148

Ladke, L.S., Tripade, V.P., Mishra, R.D., “Non-Static Plane Symmetric Cosmic Strings Cosmological Model in Theory of Gravity,” International Journal of Research Publication and Reviews, 3(2), 432-438 (2022).

https://ijrpr.com/uploads/V3ISSUE2/ijrpr2652-non-static-plane-symmetric-cosmic-strings-cosmological-model.pdf

Lobato, R.V., Carvalho, G.A., Bertulani, C.A., “Neutron Stars in f(R, Lm) Gravity with Realistic Equations Of State: Joint-Constrains With GW170817, Massive Pulsars, and the PSR J0030+0451 mass-radius from NICER data,” Eur. Phys. J. C, 81, 1013 (2021). https://doi.org/10.1140/epjc/s10052-021-09785-3

Malik, A., “A Study of Levia-Civita and Cosmic String Solutions in Modified f (R) Gravity,” preprint arXiv:2404.10793, (2024). https://doi.org/10.48550/arXiv.2404.10793

Peebles, P.J.E., Ratra, B., “The Cosmological Constant and Dark Energy,” Reviews of modern physics, 75(2), 559 (2003). https://doi.org/10.1103/RevModPhys.75.559

Patil, V., Pawde, J., Mapari, R., Waghmare, S., “FLRW Cosmology with Hybrid Scale Factor in f (R, Lm) Gravity,” East European Journal of Physics, (4), 8-17 (2023). https://doi.org/10.26565/2312-4334-2023-4-01

Pawde, J., Mapari, R., Patil, V., Pawar, D., “Anisotropic Behavior of Universe in f(R, Lm) Gravity with Varying Deceleration Parameter,” The European Physical Journal C, 84(3), 320 (2024). https://doi.org/10.1140/epjc/s10052-024-12646-4

Riess, A.G., et al., “Observational Evidence From Supernovae for an Accelerating Universe and a Cosmological Constant,” The Astronomical Journal, 116(3), 1009 (1998). https://doi.org/10.1086/300499

Sharif, M., Zubair, M., “Energy Conditions Constraints and Stability of Power Law Solutions in f(R, T) Gravity,” Journal of the Physical Society of Japan, 82(1), 014002 (2012). https://doi.org/10.7566/JPSJ.82.014002

Singh, J.K., Myrzakulov, R., Balhara, H., “A Constrained Cosmological Model in f(R,Lm) Gravity,” New Astronomy, 104, 102070 (2023). https://doi.org/10.1016/j.newast.2023.102070

Shukla, B.K., Tiwari, R.K., Sofuoğlu, D., Beesham, A., “FLRW Universe in f(R, Lm) Gravity with Equation of State Parameter,” East European Journal of Physics, (4), 376-389 (2023). https://doi.org/10.26565/2312-4334-2023-4-48

Solanki, R., Hassan, Z., Sahoo, P.K., “Wormhole Solutions in f(R, Lm) Gravity,” Chinese Journal of Physics, 85, 74-88 (2023). https://doi.org/10.1016/j.cjph.2023.06.005

Thakre, S., Mapari, R. V., Thakare, V.A. “Behaviour of Quark and Strange Quark Matter for Higher Dimensional Bianchi Type-I Universe in f(R, T) Gravity,” East European Journal of Physics, (2), 21-35 (2024). https://doi.org/10.26565/2312-4334-2024-2-02

Wang, J., Liao, K., “Energy conditions in f(R, Lm) gravity,” Classical and Quantum Gravity, 29(21), 215016 (2012). https://doi.org/10.1088/0264-9381/29/21/215016

Published
2025-03-03
Cited
How to Cite
Katore, S., Agrawal, P., Paralikar, H., & Nile, A. (2025). Dynamics of String Cosmological Model in f(R,Lm) Theory of Gravity. East European Journal of Physics, (1), 70-78. https://doi.org/10.26565/2312-4334-2025-1-06