Noether Symmetries and Anisotropic Universe in Energy-Momentum Squared Gravity

Abstract: This paper explores exact cosmological solutions of anisotropic universe model through Noether symmetry technique in energy-momentum squared gravity. This theory resolves the primordial singularity and provides viable cosmological consequences in the early universe. We consider specific models of this theory and evaluate Noether equations, symmetry generators and corresponding conserved parameters. We then find exact solutions through conserved parameters and analyze their graphical behavior for different cosmological parameters. It is found that the behavior of these parameters is consistent with recent observations indicating that this theory supports current cosmic accelerated expansion. We conclude that conserved parameters are very helpful to obtain exact cosmological solutions.