Noether symmetries and analytical solutions in cosmology: A complete study

S Basilakos, S Capozziello, M De Laurentis… - Physical Review D …, 2013 - APS
We investigate the main features of the flat Friedmann-Lemaître-Robertson-Walker
cosmological<? format?> models in the f (T) modified gravity regime. In particular, a general …

Noether symmetry in f (T) theory

H Wei, XJ Guo, LF Wang - Physics Letters B, 2012 - Elsevier
As is well known, symmetry plays an important role in the theoretical physics. In particular,
the well-known Noether symmetry is an useful tool to select models motivated at a …

Fourth order gravity: equations, history, and applications to cosmology

HJ Schmidt - International Journal of Geometric Methods in Modern …, 2007 - World Scientific
The field equations following from a Lagrangian L (R) will be deduced and solved for special
cases. If L is a non-linear function of the curvature scalar, then these equations are of fourth …

Two scalar field cosmology: Conservation laws and exact solutions

A Paliathanasis, M Tsamparlis - Physical Review D, 2014 - APS
We consider the two scalar field cosmology in a Friedmann Robertson Walker spatially flat
spacetime where the scalar fields interact both in the kinetic part and the potential. We apply …

f(T) cosmology via Noether symmetry

K Atazadeh, F Darabi - The European Physical Journal C, 2012 - Springer
We consider the Noether symmetry approach to find exact cosmological solutions in f (T)-
gravity. Instead of taking into account phenomenological models, we apply the Noether …

[HTML][HTML] Noether symmetry approach in f (R)–tachyon model

M Jamil, FM Mahomed, D Momeni - Physics Letters B, 2011 - Elsevier
In this Letter by utilizing the Noether symmetry approach in cosmology, we attempt to find the
tachyon potential via the application of this kind of symmetry to a flat Friedmann–Robertson …

[图书][B] Noether symmetries in theories of gravity: with applications to astrophysics and cosmology

F Bajardi, S Capozziello - 2022 - books.google.com
This volume summarizes the many alternatives and extensions to Einstein's General Theory
of Relativity, and shows how symmetry principles can be applied to identify physically viable …

[HTML][HTML] Noether symmetry in f (R) cosmology

B Vakili - Physics Letters B, 2008 - Elsevier
The Noether symmetry of a generic f (R) cosmological model is investigated by utilizing the
behavior of the corresponding Lagrangian under the infinitesimal generators of the desired …

[HTML][HTML] Interacting quintessence cosmology from Noether symmetries: comparing theoretical predictions with observational data

E Piedipalumbo, S Vignolo, P Feola… - Physics of the Dark …, 2023 - Elsevier
In the framework of scalar-tensor gravity, we consider non-flat interacting quintessence
cosmology where a scalar field is interacting with dark matter. Such a scalar field can be a …

Constraints and analytical solutions of theories of gravity using Noether symmetries

A Paliathanasis, M Tsamparlis, S Basilakos - Physical Review D—Particles …, 2011 - APS
We perform a detailed study of the modified gravity f (R) models in the light of the basic
geometrical symmetries, namely Lie and Noether point symmetries, which serve to illustrate …