Scale-Invariant Bounce Cosmology in Weyl f(Q) Gravity with Quintom Signature

Abstract

We investigate a bouncing cosmological model within the Weyl-type $f(Q)$ gravity framework, employing a power-law form of the non-metricity scalar $Q$. The model successfully resolves the initial singularity problem by demonstrating a nonsingular bounce, where the universe transitions from a contracting phase $\dot{a}(t)<0$ to an expanding phase ($\dot{a}(t)>0$) at the bouncing point $t\approx 0.$ Key features include the violation of the null energy condition (NEC) near the bounce and the crossing of the phantom divide line ($\omega =-1$) by the equation of state (EoS) parameter, indicating quintom-like behavior. The model exhibits accelerated expansion post-bounce, suggesting an inflationary phase. Stability analysis via the adiabatic index reveals instability near the bouncing point, while energy conditions highlight the dominance of dark energy. Additionally, the study explores scalar fields, showing that quintessence-like kinetic energy becomes negative and phantom-like kinetic energy peaks positively near the bounce, aligning with dark energy dynamics. The Hubble parameter, deceleration parameter, and Hubble radius further validate the bouncing scenario, with the latter displaying symmetric behaviour around the bounce. These results underscore the viability of Weyl-type $f(Q)$ gravity as a framework for nonsingular bouncing cosmologies, offering insights into early universe dynamics and dark energy behaviour.

arXiv comment23 pages, 16 figures

References in corpus (54)

• Observational Evidence from Supernovae for an Accelerating Universe and a Cosmological Constant
• First Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Determination of Cosmological Parameters
• Wilkinson Microwave Anisotropy Probe (WMAP) Three Year Results: Implications for Cosmology
• The Cosmological Constant and Dark Energy
• Modified Gravity and Cosmology
• The Confrontation between General Relativity and Experiment
• A Phantom Menace? Cosmological consequences of a dark energy component with super-negative equation of state
• f(R,T) gravity
• The Case for a Positive Cosmological Lambda-term
• The Ekpyrotic Universe: Colliding Branes and the Origin of the Hot Big Bang
• f(T) teleparallel gravity and cosmology
• Disappearing cosmological constant in f(R) gravity
• Coincident General Relativity
• The phantom menaced: constraints on low-energy effective ghosts
• Cosmology in $f(Q)$ geometry
• The Microwave Anisotropy Probe (MAP) Mission
• Towards a Nonsingular Bouncing Cosmology
• Observational constraints of $f(Q)$ gravity
• Bouncing Cosmologies: Progress and Problems
• Modified teleparallel theories of gravity
• A Critical Review of Classical Bouncing Cosmologies
• Bouncing Universe with Quintom Matter
• Cosmography of f(R) gravity
• Effective equation of state and energy conditions in phantom/tachyon inflationary cosmology perturbed by quantum effects
• Energy Conditions in $f(Q)$ gravity
• Exploring Bouncing Cosmologies with Cosmological Surveys
• Signatures of $f(Q)$-gravity in cosmology
• Bouncing Cosmology in f(Q) Symmetric Teleparallel Gravity
• Cosmological Solutions of $f(T)$ Gravity
• Energy conditions in general relativity and quantum field theory
• Weyl type $f(Q,T)$ gravity, and its cosmological implications
• Classically stable non-singular cosmological bounces
• Ghosts in metric-affine higher order curvature gravity
• Matter Bounce Loop Quantum Cosmology from $F(R)$ Gravity
• Bouncing cosmology in $f(R,T)$ gravity
• Matter Bounce Scenario and the Dynamical aspects in f(Q,T) Gravity
• Evolution of Metric Perturbations in Quintom Bounce model
• Weyl-Cartan-Weitzenböck gravity as a generalization of teleparallel gravity
• Dynamical Stability Analysis of Accelerating f(T) Gravity Models
• Minisuperspace quantum cosmology in $f(Q)$ gravity
• Matter Bounce Scenario in Extended Symmetric Teleparallel Gravity
• A non-singular bouncing cosmology in $f(R,T)$ gravity
• Deformed Matter Bounce with Dark Energy Epoch
• Correction to Lagrangian for Bouncing Cosmologies in $f(Q)$ Gravity
• Bounce and cyclic cosmology in new gravitational scalar-tensor theories
• Bouncing cosmologies and stability analysis in symmetric teleparallel $f(Q)$ gravity
• Late-time cosmological evolution of a general class of f(R, T) gravity with minimal curvature-matter coupling
• Equivalence of $f(Q)$ cosmology with quintom-like scenario: the phantom field as effective realization of the non-trivial connection
• Spherically symmetric solution of $f(R,\mathcal{G})$ gravity at low energy
• Accelerating Universe in a Big Bounce Model
• Role of Extended Gravity Theory in Matter Bounce Dynamics
• Ghost and tachyon free Weyl gauge theories: a systematic approach
• AdS black hole thermodynamics and microstructures from $f(Q)$ gravitation
• Weyl cosmology