Noether symmetry approach in energy-momentum squared gravity

Abstract

In this paper, we investigate the newly developed f (R, T 2 ) theory (R is the Ricci scalar and T 2 = T αβ T αβ , T αβ demonstrates the energymomentum tensor) to explore some viable cosmological models. For this purpose, we use the Noether symmetry approach in the context of flat Friedmann-Robertson-Walker (FRW) universe. We solve the Noether equations of this modified theory for two types of models and obtain the symmetry generators as well as corresponding conserved quantities. We also evaluate exact solutions and investigate their physical behavior via different cosmological parameters. For the prospective models, the graphical behavior of these parameters indicate consistency with recent observations representing accelerated expansion of the universe. In the first case, we take a special model of this theory and obtain new class of exact solutions with the help of conserved quantities. Secondly, we consider minimal and non-minimal coupling models of f (R, T 2 ) gravity. We conclude that conserved quantities are very useful to derive the exact solutions that are used to study the cosmic accelerated expansion.

Study of Charged Anisotropic Karmarkar Stars in f(R,T2)$f(\mathcal {R},\mathbb {T}^{2})$ Theory

“…We have examined some physically viable solutions through the Noether symmetry strategy in this framework. [ 34 ] We have also discussed the dynamics of celestial objects and found that collapse rate reduces in EMSG as compared to GR. [ 35 ] The physical features of a gravastar in this framework has been studied in [36].…”

Anisotropic tolman V solutions by decoupling approach in f(R,T 2) gravity

“…The viability of isotropic cosmos has also been analyzed in this theory by using flat FLRW metric [47]. Sharif and Gul [48] constructed various cosmological as well as astrophysical solutions via different techniques and discussed their viability and stability.…”

Stable Charged Gravastar Model in ${f}(\mathfrak{R},\textbf{T}^{2})$ Gravity with Conformal Motion

“…Bahamonde et al [11] presented the expansion of cosmos using different coupling models and found that these models are a good fit to explain the current behavior of cosmos. Sharif and Gul [12] used Noether symmetries in this theory and studied the impact of different physical parameters on viable cosmological structures. They also inspected the viability as well as stability of compact celestial bodies and concluded that the correction terms of the gravity decrease the collapse.…”