Constraints on Energy Conditions in $f(R,L_m)$ Gravity

Autor: Jaybhaye, Lakhan V., Mandal, Sanjay, Sahoo, P. K.
Rok vydání: 2021
Předmět:
Zdroj: International Journal of geometric methods in modern physics, 19(4) (2022) 2250050
Druh dokumentu: Working Paper
DOI: 10.1142/S0219887822500505
Popis: In this manuscript, we consider the extension of the Hilbert-Einstein action to analyze several interesting features of the theory. More specifically, the Lagrangian $f(R)$ is replaced by $f(R, L_m)$ in action, where $R$ is the Ricci scalar, and $L_m$ is the matter Lagrangian. We derive the motion equations for a test particle in the Friedmann-Lema\^itre-Robertson-Walker (FLRW) flat and homogeneous spacetime. We also derive the energy conditions in this framework. Then, we use the cosmographic parameter such as Hubble, deceleration, jerk, and snap parameters to constraint the model parameters. As a result, we observe that with the constraint range of model parameters our model shows the current accelerated expansion of the universe.
Comment: IJGMMP accepted version
Databáze: arXiv