Noether Symmetries and Some Exact Solutions in $f(R,T^2)$ Theory

Abstract

The main objective of this article is to examine some physically viable solutions through the Noether symmetry technique in $f(R,T^2)$ theory. For this purpose, we assume a generalized anisotropic and homogenous spacetime that yields distinct cosmic models. In order to investigate Noether equations, symmetry generators and conserved quantities, we use a specific model of this modified theory. We find exact solutions and examine the behavior of various cosmological quantities. It is found the behavior these quantities is consistent with current observations indicating that this theory describes the cosmic accelerated expansion. We conclude that generators of Noether symmetry and conserved quantities exist in this theory.

Accepted

References in corpus (16)

• Wilkinson Microwave Anisotropy Probe (WMAP) Three Year Results: Implications for Cosmology
• Unified cosmic history in modified gravity: from F(R) theory to Lorentz non-invariant models
• Spherically symmetric solutions in f(R)-gravity via Noether Symmetry Approach
• Spherical symmetry in $f(R)$-gravity
• Energy-Momentum Squared Gravity
• de Sitter expansion with anisotropic fluid in Bianchi type-I space-time
• Scalar Tensor Teleparallel Dark Gravity via Noether Symmetry
• Conserved Quantities in $f(R)$ Gravity via Noether Symmetry
• Scalar-Tensor Gravity Cosmology: Noether symmetries and analytical solutions
• Symmetries of geodesic motion in Gödel-type spacetimes
• Approximate Noether Symmetries of the Geodesic Equations for the Charged-Kerr Spacetime and Rescaling of Energy
• Noether Symmetry Approach in Energy-Momentum Squared Gravity
• Effect of quintessence on the energy of the Reissner-Nordstrom black hole
• Approximate Noether gauge symmetries of Bardeen model
• Stability of the Closed Einstein Universe in Energy-Momentum Squared Gravity
• Noether Symmetries and Anisotropic Universe in Energy-Momentum Squared Gravity

Cited by in corpus (5)

• Viable and Stable Compact Stars in $f(\mathcal{Q})$ Theory
• Physical Analysis of Spherical Stellar Structures in $f(\mathrm{Q},\mathrm{T})$ Theory
• Study of Viable Compact Stellar Structures in Non-Riemannian Geometry
• Energy-Momentum Squared Gravity: A Brief Overview
• Evolution of Spherical Overdensities in Energy-Momentum-Squared Gravity