Phase space analysis of an exponential model in $f(Q)$ gravity including linear dark-sector interactions

Abstract

We present a cosmological analysis of an exponential $f(Q)$ gravity model, within the dynamical systems formalism. Following the method introduced by Böhmer \textit{et al} [Universe \textbf{9} no.4, 166 (2023)], the modified Friedmann modified equations are successfully reduced to an autonomous system. Given the exponential form of $f(Q)$, the equilibrium conditions result in transcendental equations, which we approximate to identify the critical points. We therefore perform a general stability analysis of these points in terms of the model parameters. Finally, we extend the model by including a linear dark energy-dark matter interaction, where the equilibrium points are found with their stability properties. The model exhibits the three main domination epochs in the Universe, as well as a non-trivial impact on the late-time de Sitter attractor.

22 pages, 12 figures

References in corpus (42)

• Observational Evidence from Supernovae for an Accelerating Universe and a Cosmological Constant
• Measurements of Omega and Lambda from 42 High-Redshift Supernovae
• Dynamics of dark energy
• The Cosmological Constant and Dark Energy
• The Case for a Positive Cosmological Lambda-term
• Quintessence, Cosmic Coincidence, and the Cosmological Constant
• Dark energy cosmology: the equivalent description via different theoretical models and cosmography tests
• The Pantheon+ Analysis: Cosmological Constraints
• Coincident General Relativity
• Class of viable modified $f(R)$ gravities describing inflation and the onset of accelerated expansion
• Conditions for the cosmological viability of f(R) dark energy models
• Dark Matter and Dark Energy Interactions: Theoretical Challenges, Cosmological Implications and Observational Signatures
• Cosmology in $f(Q)$ geometry
• Teleparallel Gravity: From Theory to Cosmology
• Dynamical systems applied to cosmology: dark energy and modified gravity
• Cosmological solutions and growth index of matter perturbations in $f(Q)$ gravity
• First evidence that non-metricity f(Q) gravity could challenge $\Lambda$CDM
• The Null Energy Condition and its violation
• Signatures of $f(Q)$-gravity in cosmology
• Observational constraints on cosmological solutions of $f(Q)$ theories
• Interacting Dark Energy after DESI Baryon Acoustic Oscillation measurements
• Cluster Cepheids with High Precision Gaia Parallaxes, Low Zeropoint Uncertainties, and Hubble Space Telescope Photometry
• Cosmology in $f(Q)$ gravity: A unified dynamical system analysis at background and perturbation levels
• Constraints on Interacting Dark Energy Models from the DESI Baryon Acoustic Oscillation and DES Supernovae Data
• New models and Big Bang Nucleosynthesis constraints in $f(Q)$ gravity
• Is exponential gravity a viable description for the whole cosmological history?
• Cosmological observational constraints on the power law $f(Q)$ type modified gravity theory
• Phantom cosmological model with observational constraints in $f(Q)$ gravity
• Phase-space analysis of a novel cosmological model in $f(Q)$ theory
• Sign Switching in Dark Sector Coupling Interactions as a Candidate for Resolving Cosmological Tensions
• Dynamical systems analysis of $f(Q)$ gravity
• Cosmological dynamical systems in modified gravity
• Flat FLRW Universe in logarithmic symmetric teleparallel gravity with observational constraints
• Exploring the stability of $f(Q)$ cosmology near general relativity limit with different connections
• A new $f(Q)$ cosmological model with $H(z)$ quadratic expansion
• Cosmological constraints on dynamical dark energy model in $F(Q)$ gravity
• Structure growth in $f(Q)$ cosmology
• Modified gravity with an exponential function of curvature
• Cosmological dynamics and observational constraints on a viable $f(Q)$ non-metric gravity model
• Analysis of the cosmological evolution parameters, energy conditions, and linear matter perturbations of an exponential-type model in $f(Q)$ gravity
• How Much NEC Breaking Can the Universe Endure?
• A Unified Dynamical Systems Framework for Cosmology in $f(Q)$ Gravity: Generic Features Beyond the Coincident Gauge

Cited by in corpus (1)

• Crunching, Bouncing, and Cyclical Cosmologies from Dark Sector Interactions