A new approach is adopted to completely classify the Lagrangian associated with static cylindrically symmetric spacetime metric via Noether symmetries. The determining equations representing symmetries are analyzed using a Maple algorithm that imposes different conditions on coefficients under which spacetimes admit of dimensions. These used solve equations, giving explicit form vector fields o...

The Noether symmetry analysis is applied for the study of a multifield cosmological model in spatially flat FLRW background geometry. gravitational Action Integral consists two scalar fields, Brans-Dicke field and second minimally coupled to gravity. However, fields interact kinetic terms. This has been found describe equivalent hyperbolic inflation Jordan frame. application Noether's theorems ...

In the framework of scalar-tensor gravity, we consider non–flat interacting quintessence cosmology where a scalar field is with dark matter. Such can be standard or phantom one. We use Noether Symmetry Approach to obtain general exact solutions for cosmological equations and select scalar-field self-interaction potentials. It turns out that found reproduce accelerated expansion Universe, are co...

In this paper, we exploit the formal equivalence of Solution Manifold two distinct physical systems to create enough symmetries so as characterize them by Noether Invariants, thus favoring their future quantization. doing, somehow generalize Arnold Transformation for non-necessarily linear systems. Very particularly, algorithm applies case motion on de Sitter space-time providing a finite-dimen...