Dynamical systems applied to cosmology: dark energy and modified gravity

S Bahamonde, CG Böhmer, S Carloni, EJ Copeland… - Physics Reports, 2018 - Elsevier
Abstract The Nobel Prize winning confirmation in 1998 of the accelerated expansion of our
Universe put into sharp focus the need of a consistent theoretical model to explain the origin …

Selected topics in scalar–tensor theories and beyond

I Quiros - International Journal of Modern Physics D, 2019 - World Scientific
Scalar fields have played an important role in the development of the fundamental theories
of physics as well as in other branches of physics such as gravitation and cosmology. For a …

Quintessential α-attractor inflation: A dynamical systems analysis

A Alho, C Uggla - Journal of Cosmology and Astroparticle …, 2023 - iopscience.iop.org
The equations for quintessential α-attractor inflation with a single scalar field, radiation and
matter in a spatially flat FLRW spacetime are recast into a regular dynamical system on a …

Static Spherically Symmetric Einstein-aether models I: Perfect fluids with a linear equation of state and scalar fields with an exponential self-interacting potential

A Coley, G Leon - General Relativity and Gravitation, 2019 - Springer
We investigate the field equations in the Einstein-aether theory for static spherically
symmetric spacetimes and a perfect fluid source and subsequently with the addition of a …

On dynamical systems approaches and methods in f (R) cosmology

A Alho, S Carloni, C Uggla - Journal of Cosmology and …, 2016 - iopscience.iop.org
We discuss dynamical systems approaches and methods applied to flat Robertson-Walker
models in f (R)-gravity. We argue that a complete description of the solution space of a …

Inflation driven by non-linear electrodynamics

HB Benaoum, G Leon, A Övgün, H Quevedo - The European Physical …, 2023 - Springer
We investigate the inflation driven by a nonlinear electromagnetic field based on an NLED
lagrangian density L nled=-F f F, where f F is a general function depending on F. We first …

Extended phase-space analysis of the Hořava–Lifshitz cosmology

G Leon, A Paliathanasis - The European Physical Journal C, 2019 - Springer
We examine the phase space of Hořava–Lifshitz cosmology for a wide range of self-
interacting potentials for the scalar field under the detailed-balance condition and without …

Averaging generalized scalar field cosmologies I: locally rotationally symmetric Bianchi III and open Friedmann–Lemaître–Robertson–Walker models

G Leon, E González, S Lepe, C Michea… - The European Physical …, 2021 - Springer
Scalar field cosmologies with a generalized harmonic potential and a matter fluid with a
barotropic Equation of State (EoS) with barotropic index γ for locally rotationally symmetric …

Non-minimally coupled scalar field cosmology with torsion

A Cid, F Izaurieta, G Leon, P Medina… - Journal of Cosmology …, 2018 - iopscience.iop.org
In this work we present a generalized Brans-Dicke lagrangian including a non-minimally
coupled Gauss-Bonnet term without imposing the vanishing torsion condition. In the …

Global portraits of nonminimal teleparallel inflation

L Järv, J Lember - Universe, 2021 - mdpi.com
We construct global phase portraits of inflationary dynamics in teleparallel gravity models
with a scalar field nonminimally coupled to torsion scalar. The adopted set of variables can …