A dynamical system analysis of hybrid metric-Palatini cosmologies

Abstract

The so called $f(X)$ hybrid metric-Palatini gravity presents a unique viable generalisation of the $f(R)$ theories within the metric-affine formalism. Here the cosmology of the $f(X)$ theories is studied using the dynamical system approach. The method consists of formulating the propagation equation in terms of suitable (expansion-normalised) variables as an autonomous system. The fixed points of the system then represent exact cosmological solutions described by power-law or de Sitter expansion. The formalism is applied to two classes of $f(X)$ models, revealing both standard cosmological fixed points and new accelerating solutions that can be attractors in the phase space. In addition, the fixed point with vanishing expansion rate are considered with special care in order to characterise the stability of Einstein static spaces and bouncing solutions.

13 pages

References in corpus (14)

• Models of f(R) Cosmic Acceleration that Evade Solar-System Tests
• Conditions for the cosmological viability of f(R) dark energy models
• Screening Modifications of Gravity through Disformally Coupled Fields
• Cosmology of hybrid metric-Palatini f(X)-gravity
• Some remarks on the dynamical systems approach to fourth order gravity
• Unifying Einstein and Palatini gravities
• Riding on irrelevant operators
• Invariant solutions and Noether symmetries in Hybrid Gravity
• Cosmological dynamics of exponential gravity
• Cosmo-dynamics and dark energy with a quadratic EoS: anisotropic models, large-scale perturbations and cosmological singularities
• Dynamics of Linear Perturbations in the hybrid metric-Palatini gravity
• A dynamical system approach to higher order gravity
• Disformal vectors and anisotropies on a warped brane
• Doubly-boosted vector cosmologies from disformal metrics

Cited by in corpus (42)

• Dynamical systems applied to cosmology: dark energy and modified gravity
• Coupling matter in modified $Q$-gravity
• Hybrid metric-Palatini gravity
• Cosmological dynamics of mimetic gravity
• Cosmological solutions in generalized hybrid metric-Palatini gravity
• Beyond Einstein's General Relativity: Hybrid metric-Palatini gravity and curvature-matter couplings
• Hybrid metric-Palatini stars
• Crossing SNe Ia and BAO observational constraints with local ones in hybrid metric-Palatini gravity
• Dynamical analysis on $f(R,\mathcal{G})$ cosmology
• Dynamical system analysis for nonminimal torsion-matter coupled gravity
• Scalar-Fluid interacting dark energy: cosmological dynamics beyond the exponential potential
• Cosmological phase space of generalized hybrid metric-Palatini theories of gravity
• Cosmological dynamics of scalar fields with kinetic corrections: Beyond the exponential potential
• Screening mechanisms in hybrid metric-Palatini gravity
• Dynamic wormhole geometries in hybrid metric-Palatini gravity
• Spherically symmetric static vacuum solutions in hybrid metric-Palatini gravity
• Spherically symmetric black holes and wormholes in hybrid metric-Palatini gravity
• Cosmology of $f(R,\square R)$ gravity
• Scalar modes in extended hybrid metric-Palatini gravity: weak field phenomenology
• Phase space of modified Gauss-Bonnet gravity
• New class of hybrid metric-Palatini scalar-tensor theories of gravity
• Dynamical system analysis of Myrzakulov gravity
• New class of generalized coupling theories
• Homogeneous Gödel-type solutions in hybrid metric-Palatini gravity
• Cosmology in modified $f(\mathcal{G})$ gravity: a late time cosmic phenomena
• Dynamical reconstruction of the $\Lambda$CDM model in scalar-tensor $f(R,T)$ gravity
• Dynamical system analysis of cosmological evolution in the Aether scalar tensor theory
• Sudden singularities in generalized hybrid metric-Palatini cosmologies
• Weak-field regime of the generalized hybrid metric-Palatini gravity
• Black Hole Perturbations and Quasinormal Modes in Hybrid Metric-Palatini Gravity
• Jacobi stability analysis of scalar field models with minimal coupling to gravity in a cosmological background
• Cosmic strings in generalized hybrid metric-Palatini gravity
• Dynamical reconstruction of the $\Lambda$CDM model in hybrid metric-Palatini gravity
• New cosmological solutions in hybrid metric-Palatini gravity from dynamical symmetries
• Novel electrically charged wormhole, black hole and black bounce exact solutions in hybrid metric-Palatini gravity
• Geodesic deviation equation in generalized hybrid Metric-Palatini gravity
• Dynamical analysis and cosmological viability of varying $G$ and $\Lambda$ cosmology
• Gravitational wave propagation in generalized hybrid metric-Palatini gravity
• Horizons, throats and bounces in hybrid metric-Palatini gravity with a non-zero potential
• Cosmological and astrophysical applications of modified theories of gravity
• Energy conditions and gravitational baryogenesis in $f(R,\mathcal{R})$ gravity
• Extended Theories of Gravity in cosmological and astrophysical applications