Statefinder Analysis of Symmetric Teleparallel Cosmology

Abstract

Statefinder diagnostic is a convenient method that can differentiate between the various dark energy models. In this article, we analyze the statefinder parameters in symmetric teleparallel cosmology. The $f(Q)$ gravity theory is an alternative theory to GR, where gravitational interactions attribute to the non-metricity scalar $Q$. In the present work, we consider two $f(Q)$ models which contains a linear and a non-linear form of non-metricity scalar, specifically, $f(Q)=\alpha Q+\frac{\beta }{Q}$ and $f(Q)=\alpha Q+\beta Q^2$, where $\alpha$ and $\beta$ are free parameters and then statefinder parameters $(r,s)$ are evaluated. We plot the trajectory of our models in the $r-s$ plane. In addition, we analyze the physical behavior of different cosmological parameters such as density, deceleration, and the EoS parameters. Further, we use Om diagnostic to differentiate the behavior of both $f(Q)$ models. We found that both $f(Q)$ models predicts that the present universe is accelerating due to the dark energy component evolving due to non-metricity. Moreover, model I represents phantom type behavior while model II follows quintessence scenario.

arXiv commentAnnalen der Physik published version

References in corpus (52)

• Observational Evidence from Supernovae for an Accelerating Universe and a Cosmological Constant
• Measurements of Omega and Lambda from 42 High-Redshift Supernovae
• First Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Determination of Cosmological Parameters
• The Cosmological Constant and Dark Energy
• Detection of the Baryon Acoustic Peak in the Large-Scale Correlation Function of SDSS Luminous Red Galaxies
• Cosmological parameters from SDSS and WMAP
• An alternative to quintessence
• Modified gravity with negative and positive powers of the curvature: unification of the inflation and of the cosmic acceleration
• Generalized Chaplygin Gas, Accelerated Expansion and Dark Energy-Matter Unification
• A Dynamical Solution to the Problem of a Small Cosmological Constant and Late-time Cosmic Acceleration
• Baryon Acoustic Oscillations in the Sloan Digital Sky Survey Data Release 7 Galaxy Sample
• Chameleon Fields: Awaiting Surprises for Tests of Gravity in Space
• First results from the LUX dark matter experiment at the Sanford Underground Research Facility
• Statefinder -- a new geometrical diagnostic of dark energy
• Kinetically Driven Quintessence
• Dark torsion as the cosmic speed-up
• Modified teleparallel gravity: inflation without inflaton
• The Second Data Release of the Sloan Digital Sky Survey
• Einstein's Other Gravity and the Acceleration of the Universe
• Accelerated expansion of the universe driven by tachyonic matter
• Coincident General Relativity
• Quantum deSitter cosmology and phantom matter
• Results from the Final Exposure of the CDMS II Experiment
• Dark energy in modified Gauss-Bonnet gravity: late-time acceleration and the hierarchy problem
• Two new diagnostics of dark energy
• Conditions for the cosmological viability of f(R) dark energy models
• First Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Tests of Gaussianity
• Cosmology in $f(Q)$ geometry
• Do consistent $F(R)$ models mimic General Relativity plus $\Lambda$?
• Coupling matter in modified $Q$-gravity
• Large Scale Structure as a Probe of Gravitational Slip
• Dark Energy Anisotropic Stress and Large Scale Structure Formation
• Cosmological solutions and growth index of matter perturbations in $f(Q)$ gravity
• Cosmic Microwave Background and Supernova Constraints on Quintessence: Concordance Regions and Target Models
• Phantom Field and the Fate of Universe
• Energy Conditions in $f(Q)$ gravity
• From inflation to dark energy in the non-minimal modified gravity
• The fate of (phantom) dark energy universe with string curvature corrections
• Accelerated Expansion of the Universe in Non-minimally Coupled Gravity
• Cosmography in $f(Q)$ gravity
• Statefinder Diagnosis for Ricci Dark Energy
• Holographic explanation of wide-angle power correlation suppression in the Cosmic Microwave Background Radiation
• Traversable wormhole geometries in $f(Q)$ gravity
• Statefinder diagnosis for the interacting model of holographic dark energy
• Phantom Cosmology without Big Rip Singularity
• A complete cosmological scenario from $f(R,T^{\phi })$ gravity theory
• Data-driven Reconstruction of the Late-time Cosmic Acceleration with f(T) Gravity
• Statefinder Analysis of f(T) Cosmology
• Fidelity Susceptibility as Holographic PV-Criticality
• Cosmic Evolution in Brans-Dicke Chameleon Cosmology
• Cosmological reconstruction and {\it Om} diagnostic analysis of Einstein-Aether Theory
• How a conformally flat (GR)4 impacts Gauss-Bonnet gravity?

Cited by in corpus (6)

• Probing Baryogenesis in $f(Q)$ gravity
• Viscous fluid cosmology in symmetric teleparallel gravity
• Reconstructions of $f(\mathcal{P})$ and $f(\mathcal{Q})$ gravity models from $(m,n)$-type Barrow Holographic Dark Energy: Analysis and Observational Constraints
• Analysis of the cosmological evolution parameters, energy conditions, and linear matter perturbations of an exponential-type model in $f(Q)$ gravity
• Reconstructions of Einstein-Aether Gravity from Barrow Agegraphic and New Barrow Agegraphic Dark Energy models: Examinations and Observational Limits
• Cosmic Evolution of the Kantowski-Sachs Universe in the Context of a Bulk Viscous String in Teleparallel Gravity