Compatibility between the scalar field models of tachyon, $k$-essence and quintessence in $f(R,T)$ gravity

Abstract

We investigate the behavior of the scalar field in $f(R,T)$ gravity (Harko et al., Phys. Rev. D 84, 024020, 2011) inside the structure of a flat FRW cosmological model, where $R$ and $T$ have their usual meaning. The deterministic solution of FEs has been settled by considering the scale factor $S(t)=t^m{e}^{kt}$, where $m$ and $k$ are positive constant. Here we utilize three ongoing imperatives ($H_0=73.8$ and $q_0=-0.73$) from SNe Ia Union observation (Cunha, Phys. Rev. D 79, 047301, 2009); ($H_0=73.8$ and $q_0=-0.55$) from Type Ia Supernova (SNIa) observation in joined with (BAO) and (CMB) observation (Giostri et al., J. Cosmol. Astropart. Phys. 03, 027, 2012); and ($H_0=69.2$ and $q_0=-0.52)$ from (OHD+JLA) observation (Yu et al., Astrophys. J. 856, 3, 2018). We have measured and graphed several cosmological parameters and found that these findings are appropriate in comparison with the universe's physical and kinematic properties and also compatible with ongoing observations. The correspondence between the scalar field models of tachyon, k-essence, and quintessence is investigated by us. Our model explains the potentials and the dynamics of the scalar fields in the FRW universe. The reconstructed potential is very sensible and has a scaling arrangement. Subsequently, our study supports recent observations.

arXiv comment18 pages, 16 figures, 1 table

References in corpus (87)

• 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
• Dynamics of dark energy
• Unified cosmic history in modified gravity: from F(R) theory to Lorentz non-invariant models
• A Phantom Menace? Cosmological consequences of a dark energy component with super-negative equation of state
• f(R,T) gravity
• An alternative to quintessence
• Discovery of a Supernova Explosion at Half the Age of the Universe and its Cosmological Implications
• 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
• k-Inflation
• Essentials of k-essence
• The High-Z Supernova Search: Measuring Cosmic Deceleration and Global Cur vature of the Universe Using Type Ia Supernovae
• Dark Energy Constraints from the Cosmic Age and Supernova
• Rolling Tachyon
• Accelerated Universe from Gravity Leaking to Extra Dimensions
• Accelerated expansion of the universe driven by tachyonic matter
• Late-time cosmology in (phantom) scalar-tensor theory: dark energy and the cosmic speed-up
• Supernova Limits on the Cosmic Equation of State
• Braneworld models of dark energy
• First Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Tests of Gaussianity
• Field Theory of Tachyon Matter
• Cosmological Evolution of the Rolling Tachyon
• Cosmology with tachyon field as dark energy
• Dark Matter and Dark Energy
• Equation of state for dark energy in $f(T)$ gravity
• Accelerating universe from F(T) gravity
• Reconstruction of f(R, T) gravity describing matter dominated and accelerated phases
• Future of the universe in modified gravitational theories: Approaching to the finite-time future singularity
• T-duality and Actions for Non-BPS D-branes
• f(R) Gravity and scalar-tensor theory
• Power-Law Inflation from the Rolling Tachyon
• Hubble Parameter and Baryon Acoustic Oscillation Measurement Constraints on the Hubble Constant, the Deviation from the Spatially-Flat $\Lambda$cdm Model, The Deceleration-Acceleration Transition Redshift, and Spatial Curvature
• New infrared cut-off for the holographic scalar fields models of dark energy
• Dark Energy and Dark Gravity
• Assisted inflation via tachyon condensation
• Cosmography of f(R) gravity
• Tracking K-essence
• deSitter brane universeinduced by phantom and quantum effects
• From cosmic deceleration to acceleration: new constraints from SN Ia and BAO/CMB
• FRW Cosmology in F(R,T) gravity
• Cosmological dynamics of the tachyon with an inverse power-law potential
• The Dynamics of Quintessence, The Quintessence of Dynamics
• Hubble Space Telescope and Ground-Based Observations of Type Ia Supernovae at Redshift 0.5: Cosmological Implications
• B-Inflation
• Kinematic Constraints to the Transition Redshift from SNe Ia Union Data
• Bouncing cosmology in modified Gauss-Bonnet gravity
• Brane cosmology driven by the rolling tachyon
• Friedmann model with viscous cosmology in modified $f(R,T)$ gravity theory
• Power-law expansion in k-essence cosmology
• A polynomial f(R) inflation model
• Analysis of F(R,T) Gravity Models Through Energy Conditions
• A cosmological constant from the QCD trace anomaly?
• Bianchi Type-$V$ cosmology in $f(R,T)$ gravity with $\Lambda (T)$
• Modified gravity a la Galileon: Late time cosmic acceleration and observational constraints
• A k-essence Model Of Inflation, Dark Matter and Dark Energy
• Reconstruction of general scalar-field dark energy models
• A periodic varying deceleration parameter in $f(R,T)$ gravity
• Slow-roll k-essence
• Kaluza-Klein cosmological model in $f(R,T)$ gravity with $\Lambda (T)$
• Kinetic k-essence ghost dark energy model
• Interacting new agegraphic tachyon, K-essence and dilaton scalar field models of dark energy in non-flat universe
• Traversable Wormholes in $f(R,T)$ Gravity
• Variable Chaplygin gas cosmologies in f(R, T) gravity with particle creation
• Existence of bulk viscous universe in $f(R,T)$ gravity and confrontation with observational data
• Wormhole model with a hybrid shape function in f(R,T) gravity
• Tachyon Reconstruction of Ghost Dark Energy
• Magnetized strange quark matter in $f(R,T)$ gravity with bilinear and special form of time varying deceleration parameter
• Cosmological Surprises from Braneworld models of Dark Energy
• Power-Law Entropy Corrected Ricci Dark Energy and Dynamics of Scalar Fields
• Power-law solution for homogeneous and isotropic universe in $f(R,T)$ gravity
• An equation of state for purely kinetic k-essence inspired by cosmic topological defects
• Domain Bubbles of Extra Dimensions
• Stability of accelerating cosmology in two scalar-tensor theory: Little Rip versus de Sitter
• Reconstruction of new holographic scalar field models of dark energy in Brans-Dicke Universe
• Braneworld Teleparallel Gravity
• Cosmology and Stability in Scalar-Tensor bigravity
• Holographic kinetic k-essence model
• Kaluza-Klein Type Robertson Walker Cosmological Model With Dynamical Cosmological Term $\Lambda$
• A cosmological scenario from the Starobinsky model within the $f(R,T)$ formalism
• Reconstruction of Scalar Field Dark Energy Models in Kaluza-Klein Universe
• Holographic reconstruction of the k-essence and dilaton models
• K-essence in Horndeski models
• Holographic cosmology and tachyon inflation
• Evolution of spherical over-densities in tachyon scalar field model
• Quintessence, Unified Dark Energy and Dark Matter, and Confinement/Deconfinement Mechanism

Cited by in corpus (4)

• Evaluation of cosmological models in $f(R,T)$ gravity in different dark energy scenario
• A new class of holographic dark energy models in LRS Bianchi Type-I
• Barrow entropic Quintessence and Dilation dark energy Models with Generalized HDE cut-off
• Beyond $\Lambda$CDM: Exploring a Dynamical Cosmological Constant Framework Consistent with Late-Time Observations