Anisotropic behavior of universe in gravity with varying deceleration parameter

Jeevan Pawde; Rahul Mapari; Vasudeo Patil; Dnyaneshwar Pawar

doi:10.1140/epjc/s10052-024-12646-4

2023 Impact factor 4.2

Particles and Fields

Open Access

Eur. Phys. J. C (2024) 84: 320
https://doi.org/10.1140/epjc/s10052-024-12646-4

Regular Article - Theoretical Physics

Anisotropic behavior of universe in $f (R, L_{m})$ gravity with varying deceleration parameter

Jeevan Pawde¹, Rahul Mapari²^b, Vasudeo Patil¹ and Dnyaneshwar Pawar³

¹ Department of Mathematics, Arts, Science and Commerce College, 444807, Chikhaldara, MS, India
² Department of Mathematics, Government Science College, 442605, Gadchiroli, MS, India
³ School of Mathematical Sciences, Swami Ramanand Teerth Marathwada University, 431606, Nanded, MS, India

^b r.v.marari@gmail.com

Received: 26 September 2023
Accepted: 3 March 2024
Published online: 26 March 2024

Abstract

In this research study, we investigate the anisotropic behavior of the Universe using the framework of $f (R, L_{m})$ $$f(R, L_m)$$ gravity. This modified gravity theory, represented by $f (R, L_{m}) = \frac{R}{2} + L_{m}^{α} + β$ $f(R, L_m)=\frac{R}{2}+L^\alpha _m+\beta$ , incorporates both the Ricci scalar (R) and matter Lagrangian density ( $L_{m}$ $$L_m$$ ). Our exploration centers around understanding the Universe’s dynamics through the variable deceleration parameter. Additionally, we employ energy conditions, the jerk parameter, equation-of-state (EoS) parameter and statefinder parameters as analytical tools to gain insights into the evolution of the Universe within this modified gravity scenario. Our findings are then compared to recent observational data and are found to be in agreement with the $Λ$ $\Lambda$ CDM model. This research contributes valuable insights into the anisotropic nature of the Universe in the context of $f (R, L_{m})$ $$f(R, L_m)$$ gravity and highlights its deviations from the $Λ$ $\Lambda$ CDM model, providing a deeper understanding of the fundamental dynamics of our cosmic evolution.

Jeevan Pawde, Rahul Mapari, Vasudeo Patil and Dnyaneshwar Pawar contributed equally to this work.

© The Author(s) 2024

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