Abstract
This paper investigates the geometry of compact stellar objects through the Noether symmetry approach in the energy-momentum squared gravity. This newly developed theory overcomes the problems of big bang singularity and provides the viable cosmological consequences in the early time universe. Moreover, its implications occur in high curvature regime where the deviations of energy-momentum squared gravity from general relativity is confirmed. We consider the minimal coupling model of this modified theory and formulate symmetry generators as well as corresponding conserved quantities. We use conservation relation and apply some suitable initial conditions to evaluate the metric potentials. Finally, we explore some interesting features of the compact objects for appropriate values of the model parameters through numeric analysis. It is found that compact stellar objects in this particular framework depend on the model parameters as well as conserved quantities. We conclude that Noether symmetries generate solutions that are consistent with the astrophysical observational data and hence confirm the viability of this procedure.
Highlights
Noether symmetry approach is recognized as the most efficient method to investigate the analytic solutions that help to find the conserved parameters of the field equations corresponding to symmetry generators. e main motivation comes from various conservation laws which are outcomes of some kind of symmetry being present in a system. e conservation laws are the key factors in the study of various physical processes and familiar Noether theorem, which implies that every differentiable symmetry of the action leads to the law of conservation. is theorem is significant because it provides a correlation between conserved quantities and symmetries of a physical system [1]
Noether symmetries are much helpful to find solutions of the dynamical system. ese can provide some viable conditions so that cosmological models can be selected according to current observations [60]. e Lagrange multipliers are used to minimize the dynamical system that helps to evaluate analytical solutions
We have investigated the physical attributes of compact objects via Noether symmetry technique
Summary
Noether symmetry approach is recognized as the most efficient method to investigate the analytic solutions that help to find the conserved parameters of the field equations corresponding to symmetry generators. e main motivation comes from various conservation laws (energy, momentum, angular momentum, etc.) which are outcomes of some kind of symmetry being present in a system. e conservation laws are the key factors in the study of various physical processes and familiar Noether theorem, which implies that every differentiable symmetry of the action leads to the law of conservation. is theorem is significant because it provides a correlation between conserved quantities and symmetries of a physical system [1]. Is modification of GR is formulated by adding the analytic function Tμ]Tμ] in the generic action which is referred as f(R, T2) gravity where Tμ]Tμ] is denoted by T2 [14] It provides the contribution of squared terms (ρ2, p2, and ρp where ρ and p are the matter variables) in the field equations that are used to explore the various fascinating cosmological consequences. Shamir and Ahmad [29, 30] used this technique to explore different cosmological models with isotropic and anisotropic matter configurations in the background of f(G, T) theory Sharif and his collaborators [31,32,33,34,35,36,37] analyzed accelerated expansion and evolution of the universe by using this approach.
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 callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
