Phase-space analysis of dark energy models in non-minimally coupled theories of gravity

Abstract

We analyze scalar field dark energy models minimally and non-minimally coupled to gravity, postulating that a Yukawa-like interacting term is \emph{in form} equivalent for general relativity, teleparallel and symmetric-teleparallel theories. Our analysis is pursued within two scalar field representations, where a quintessence and phantom pictures are associated with quasiquintessence and quasiphantom exotic fields. In the latter, we suggest how the phion-pressure can be built up without exhibiting a direct kinetic term. Accordingly, the stability analysis reveals that this quasiquintessence field provides a viable description of the universe indicating, when minimally coupled, how to unify dark energy and dark matter by showing an attractor point where $w_{\varphi }=0$. Conversely, in the non-minimally coupling, the alternative field only leaves an attractor where dark energy dominates, mimicking \emph{de facto} a cosmological constant behavior. A direct study is conducted comparing the standard case with the alternative one, overall concluding that the behavior of quintessence is well established across all the gravity scenarios. However, considering the phantom field non-minimal coupled to gravity, the results are inconclusive for power-law potentials in Einstein theory, and for the inverse square power (ISP) potential in both teleparallel and symmetric-teleparallel theories. Finally, we study the growth of matter perturbations and establish that only the fifth power and quadratic potentials, when used to describe quasiphantom field minimally coupled to gravity, exhibit behavior similar to the $\Lambda$CDM model.

30 pages, 9 figures, 7 tables

References in corpus (39)

• Dynamics of dark energy
• Unified cosmic history in modified gravity: from F(R) theory to Lorentz non-invariant models
• Dark energy cosmology: the equivalent description via different theoretical models and cosmography tests
• In the Realm of the Hubble tension $-$ a Review of Solutions
• DESI 2024 VI: Cosmological Constraints from the Measurements of Baryon Acoustic Oscillations
• Challenges for $\Lambda$CDM: An update
• KiDS-1000 Cosmology: Cosmic shear constraints and comparison between two point statistics
• KiDS-1000 Cosmology: Multi-probe weak gravitational lensing and spectroscopic galaxy clustering constraints
• The trouble with $H_0$
• Teleparallel Gravity: From Theory to Cosmology
• Inflationary Cosmology
• Early dark energy, the Hubble-parameter tension, and the string axiverse
• Extended Gravity Cosmography
• Cosmological solutions and growth index of matter perturbations in $f(Q)$ gravity
• Is Local $H_0$ At Odds With Dark Energy EFT?
• Scant evidence for thawing quintessence
• Underdetermination of dark energy
• Matching current observational constraints with nonminimally coupled dark energy
• Can dark energy be dynamical?
• Phantom Dark Energy Models with a Nearly Flat Potential
• Healing the cosmological constant problem during inflation through a unified quasi-quintessence matter field
• Negative cosmological constant in the dark energy sector: tests from JWST photometric and spectroscopic observations of high-redshift galaxies
• A New Approach to Quintessence and a Solution of Multiple Attractors
• Kinematic constraints beyond $z\simeq 0$ using calibrated GRB correlations
• Tracing dark energy history with gamma ray bursts
• Non-minimally coupled scalar field cosmology on the phase plane
• Alleviating the cosmological constant problem from particle production
• Inflation, the Hubble Tension and Early Dark Energy: an alternative overview
• The growth factor of matter perturbations in an f(R) gravity
• Observational Constraints on Dynamical Dark Energy Models
• Comparing the scalar-field dark energy models with recent observations
• Dynamical system analysis of scalar field cosmology in coincident $f(Q)$ gravity
• Dynamics in interacting scalar-torsion theory
• Hubble tension in a nonminimally coupled curvature-matter gravity model
• Preserving quantum information in $f(Q)$ cosmology
• First constraints on non-minimally coupled Natural and Coleman-Weinberg inflation and massive neutrino self-interactions with Planck+BICEP/Keck
• Inclusive Constraints on Unified Dark Matter Models from Future Large-Scale Surveys
• Nonminimal GUT inflation after Planck results
• Square-Root parametrization of dark energy in $f(Q)$ cosmology

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