Equivalence of $f(Q)$ cosmology with quintom-like scenario: the phantom field as effective realization of the non-trivial connection

Abstract

We show that $f(Q)$ cosmology with a non-trivial connection, namely the Connection II of the literature, is dynamically equivalent with a quintom-like model. In particular, we show that the scalar field arising from the non-linear $f(Q)$ form, and the scalar field associated to the non-trivial connection, are combined to provide one canonical and one phantom field in the minisuperspace Lagrangian. Hence, the combination of two well-behaved fields appears effectively as a phantom field. This is fundamentally different from the usual approach in phantom and quintom cosmology, in which the phantom field is introduced ad hoc, and thus it may open a new way to handle the phantom fields, namely as effective realizations of the connection-related canonical fields.

7 pages, version published in Phys. Lett. B

References in corpus (46)

• Dark torsion as the cosmic speed-up
• Challenges for $\Lambda$CDM: An update
• Cosmological Evolution of a Quintom Model of Dark Energy
• Cosmological solutions and growth index of matter perturbations in $f(Q)$ gravity
• First evidence that non-metricity f(Q) gravity could challenge $\Lambda$CDM
• Teleparallel equivalent of Gauss-Bonnet gravity and its modifications
• Reconstructing the universe history, from inflation to acceleration, with phantom and canonical scalar fields
• Testing $F(Q)$ gravity with redshift space distortions
• Signatures of $f(Q)$-gravity in cosmology
• Black holes in $f(\mathbb{Q})$ Gravity
• Accelerated Expansion of the Universe in Non-minimally Coupled Gravity
• Cosmography in $f(Q)$ gravity
• Non-minimally coupled canonical, phantom and quintom models of holographic dark energy
• Observational constraints on cosmological solutions of $f(Q)$ theories
• Cosmic Duality in Quintom Universe
• New models and Big Bang Nucleosynthesis constraints in $f(Q)$ gravity
• Observational constraints on two cosmological models of $f(Q)$ theory
• Instabilities in Metric-Affine Theories of Gravity
• Revisiting Cosmologies in Teleparallelism
• A designer approach to $f(Q)$ gravity and cosmological implications
• Cosmology in cubic and $f(P)$ gravity
• On the impact of $f(Q)$ gravity on the Large Scale Structure
• Non-metricity with bounday terms: $f(Q,C)$ gravity and cosmology
• Reconstruction of $\Lambda$CDM Universe in $f(Q)$ Gravity
• Complete dark energy scenario in $f(Q)$ gravity
• Existence of Wormhole Solutions in $f(Q,T)$ Gravity under Non-commutative Geometries
• On the viability of $f(Q)$ gravity models
• Phantom cosmological model with observational constraints in $f(Q)$ gravity
• Data reconstruction of the dynamical connection function in $f(Q)$ cosmology
• Crossing phantom divide in $f(Q)$ gravity
• Homogeneous and isotropic cosmology in general teleparallel gravity
• Evolutionary behaviour of cosmological parameters with dynamical system analysis in f (Q, T) gravity
• A simple parity violating model in the symmetric teleparallel gravity and its cosmological perturbations
• Forecasting F(Q) cosmology with $\Lambda$CDM background using standard sirens
• Anisotropic LRS-BI Universe with $f(Q)$ gravity theory
• Black bounces in conformal Killing gravity
• Symmetric Teleparallel Horndeski Gravity
• Complete classification of cosmological teleparallel geometries
• $f(Q)$-gravity and neutrino physics
• Cosmological constraints on Hořava gravity revised in light of GW170817 and GRB170817A and the degeneracy with massive neutrinos
• Nonmetricity theories and aspects of gauge symmetry
• Exploring the stability of $f(Q)$ cosmology near general relativity limit with different connections
• Constraints on $f(Q)$ logarithmic model using gravitational wave standard sirens
• Neutron Star in Covariant $f(Q)$ gravity
• Black holes and regular black holes in coincident $f(\mathbb{Q},{\mathbb{B}}_Q)$ gravity coupled to nonlinear electrodynamics
• Conserved quantities in STEGR and applications

Cited by in corpus (8)

• Modified gravity realizations of quintom dark energy after DESI DR2
• Logarithmic and Strong Coupling Models in Weyl-Type $f(Q,T)$ Gravity
• A short review on Quintom dark energy theory
• A Unified Dynamical Systems Framework for Cosmology in $f(Q)$ Gravity: Generic Features Beyond the Coincident Gauge
• Can an Extra Degree of Freedom in Scalar-Tensor Non-Metricity Gravity Account for the Evolution of the Universe?
• Quantum Quintom Cosmology
• Insights in $f(Q)$ cosmology: the relevance of the connection
• Scale-Invariant Bounce Cosmology in Weyl f(Q) Gravity with Quintom Signature