Abstract
This paper determines the existence of Noether symmetry in non-minimally coupled f(R, T) gravity admitting minimal coupling with scalar field models. We consider a generalized spacetime which corresponds to different anisotropic and homogeneous universe models. We formulate symmetry generators along with conserved quantities through Noether symmetry technique for direct and indirect curvature–matter coupling. For dust and perfect fluids, we evaluate exact solutions and construct their cosmological analysis through some cosmological parameters. We conclude that decelerated expansion is obtained for the quintessence model with a dust distribution, while a perfect fluid with dominating potential energy over kinetic energy leads to the current cosmic expansion for both phantom as well as quintessence models.
Highlights
The interest in exact solutions of higher order non-linear differential equations keeps researchers motivated as these are extensively used to investigate different cosmic aspects
Kucukakca et al [25] discussed the presence of Noether symmetry to formulate exact solutions of a locally rotationally symmetric Bianchi type I (BI) universe
Vakili [30] identified the existence of Noether point symmetry along with a conserved quantity for the flat FRW universe and studied the behavior of effective equation of state (EoS) parameter for the quintessence model in f (R) gravity
Summary
The interest in exact solutions of higher order non-linear differential equations keeps researchers motivated as these are extensively used to investigate different cosmic aspects. Kucukakca et al [25] discussed the presence of Noether symmetry to formulate exact solutions of a locally rotationally symmetric BI universe. In non-minimally coupled gravitational theory, the Noether symmetry approach is extensively used to study different cosmological models and the dynamical role of various scalar field models [29]. Vakili [30] identified the existence of Noether point symmetry along with a conserved quantity for the flat FRW universe and studied the behavior of effective equation of state (EoS) parameter for the quintessence model in f (R) gravity. Sharif and Shafique [33] obtained exact solutions of isotropic and anisotropic universe models in scalar–tensor theory non-minimally coupled with the torsion scalar. We discuss the existence of Noether symmetries of non-minimally coupled f (R, T ) gravity interacting with generalized scalar field model.
Sign-in/Register to view highlights & summary Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a call
