Noether analysis of scalar-tensor cosmology

PA Terzis, N Dimakis, T Christodoulakis - Physical Review D, 2014 - APS
A scalar-tensor theory of gravity, containing an arbitrary coupling function F (ϕ) and a
general potential V (ϕ), is considered in the context of a spatially flat Friedmann-Lemaître …

Dynamical analysis in scalar field cosmology

A Paliathanasis, M Tsamparlis, S Basilakos, JD Barrow - Physical Review D, 2015 - APS
We give a general method to find exact cosmological solutions for scalar-field dark energy in
the presence of perfect fluids. We use the existence of invariant transformations for the …

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 …

Lie point and variational symmetries in minisuperspace Einstein gravity

T Christodoulakis, N Dimakis… - Journal of Physics A …, 2014 - iopscience.iop.org
We consider the application of the theory of symmetries of coupled ordinary differential
equations to the case of reparametrization invariant Lagrangians quadratic in the velocities; …

[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 …

Unified dark sectors in scalar-torsion theories of gravity

G Leon, A Paliathanasis, EN Saridakis, S Basilakos - Physical Review D, 2022 - APS
We present a unified description of the matter and dark energy epochs using a class of
scalar-torsion theories. We provide a Hamiltonian description, and by applying Noether's …

f (R)-gravity from Killing Tensors

A Paliathanasis - Classical and Quantum Gravity, 2016 - iopscience.iop.org
We consider f (R)-gravity in a Friedmann–Lemaître–Robertson–Walker spacetime with zero
spatial curvature. We apply the Killing tensors of the minisuperspace in order to specify the …

Exact Kantowski–Sachs spacetimes in Einstein–Aether scalar field theory

G Leon, A Paliathanasis, N Dimakis - The European Physical Journal C, 2020 - Springer
Exact and analytic solutions in Einstein–Aether scalar field theory with Kantowski–Sachs
background space are determined. The theory of point symmetries is applied to determine …

[HTML][HTML] Generalized Noether symmetry in f (T) gravity

HM Sadjadi - Physics Letters B, 2012 - Elsevier
We consider modified teleparallel gravity (f (T) gravity), as a framework to explain the
present accelerated expansion of the universe. The matter component is assumed to be cold …

Dynamical symmetries in Brans-Dicke cosmology

G Papagiannopoulos, JD Barrow, S Basilakos… - Physical Review D, 2017 - APS
In the context of generalized Brans-Dicke cosmology we use the Killing tensors of the
minisuperspace in order to determine the unspecified potential of a scalar-tensor gravity …