Observational constraints and stability in viscous $f(T,\mathcal{T})$ gravity

Abstract

In this paper, we study the $f(T,\mathcal{T})$ gravity model in the presence of the bulk viscosity by the flat-FRW metric. The field equation is obtained by teleparallel gravity with tetrad field. The universe components are considered as matter and dark energy which the dark energy component associates from the viscous $f(T,\mathcal{T})$ gravity. After calculating the Friedmann equations, we obtain the energy density, the pressure and the EoS of dark energy in terms of the redshift parameter. Afterward, we plot the corresponding cosmological parameters versus the redshift parameter and examine the accelerated expansion of the universe. In the end, we explore the system stability by a function called the speed sound parameter.

arXiv comment14 pages, 5 figures

References in corpus (68)

• 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: Preliminary Maps and Basic Results
• Cosmological parameters from SDSS and WMAP
• A Phantom Menace? Cosmological consequences of a dark energy component with super-negative equation of state
• f(R,T) gravity
• A Model of Holographic Dark Energy
• The Hubble Space Telescope Cluster Supernova Survey: V. Improving the Dark Energy Constraints Above z>1 and Building an Early-Type-Hosted Supernova Sample
• Statefinder -- a new geometrical diagnostic of dark energy
• Spectra and Light Curves of Six Type Ia Supernovae at 0.511 < z < 1.12 and the Union2 Compilation
• Constraints on the redshift dependence of the dark energy potential
• Dark torsion as the cosmic speed-up
• Cosmic Chronometers: Constraining the Equation of State of Dark Energy. I: H(z) Measurements
• Einstein's Other Gravity and the Acceleration of the Universe
• Raising the bar: new constraints on the Hubble parameter with cosmic chronometers at z$\sim$2
• Improved constraints on the expansion rate of the Universe up to z~1.1 from the spectroscopic evolution of cosmic chronometers
• The WiggleZ Dark Energy Survey: Joint measurements of the expansion and growth history at z < 1
• Baryon Acoustic Oscillations in the Lyα forest of BOSS DR11 quasars
• Cosmological Evolution of a Quintom Model of Dark Energy
• Braneworld models of dark energy
• Quasar-Lyman $\alpha$ Forest Cross-Correlation from BOSS DR11 : Baryon Acoustic Oscillations
• Accelerating universe from F(T) gravity
• Hubble parameter measurement constraints on the redshift of the deceleration-acceleration transition, dynamical dark energy, and space curvature
• Bulk Viscous Cosmology
• $f(T,\mathcal{T})$ gravity and cosmology
• Good and bad tetrads in f(T) gravity
• Interacting tachyon dark energy in non-flat universe
• On holographic dark-energy models
• Shape invariance method for quintom model in the bent brane background
• Quark Stars in $f(T,\mathcal{T})-$Gravity
• Gravastars in $f(\mathbb{T},\mathcal{T})$ gravity
• Interacting Quintessence Models of Dark Energy
• The bouncing cosmology with $F(R)$ gravity and its reconstructing
• Interacting Entropy-Corrected Holographic Dark Energy and IR Cut-Off Length
• Self-interacting Dark Matter Without Direct Detection Constraints
• Interacting 3-form dark energy models: distinguishing interactions and avoiding the Little Sibling of the Big Rip
• Interacting Ghost Dark Energy Models with Variable $G$ and $\Lambda$
• Unified universe history through phantom extended Chaplygin gas
• Higher derivative corrections of $f(R)$ gravity with varying equation of state in the case of variable $G$ and $\Lambda$
• Bouncing Universe and Reconstructing Vector Field
• Logarithmic corrected Polynomial $f(R)$ inflation mimicking a cosmological constant
• Holographic Dark Energy with Cosmological Constant
• Thermodynamics of the viscous $f(T,B)$ gravity in the new agegraphic dark energy model
• Interacting two-component fluid models with varying EoS parameter
• Constraining the Schwarzschild-de Sitter Solution in Models of Modified Gravity
• Bouncing universe with the non-minimally coupled scaler field and its reconstructing
• Reconstructing a String-Inspired Non-minimally Coupled Quintom Model
• Approximation of the potential in scalar field dark energy models
• An effective quintessence field with a power-law potential
• Thermodynamics and stability of $f(T,B)$ gravity with viscous fluid by observational constraints
• On dark energy models of single scalar field
• Stability and interacting $f(T,\mathcal{T})$ gravity with modified Chaplygin gas
• Phenomenological Fluids from Interacting Tachyonic Scalar Fields
• Interacting closed string tachyon with modified Chaplygin gas and its stability
• Logarithmic entropy--corrected holographic dark energy with non--minimal kinetic coupling
• The solution of tachyon inflation in curved universe
• Interacting $F(R,T)$ gravity with modified Chaplygin gas
• Logarithmic corrected $F(R)$ gravity in the light of Planck 2015
• The late Universe with non-linear interaction in the dark sector: the coincidence problem
• Smooth braneworld models possibility in modified gravities
• Stability of viscous fluid in Bianchi type-VI model with cosmological constant
• Interacting Ricci dark energy models with an effective $\Lambda$-term in Lyra manifold
• Logarithmic entropy corrected holographic dark energy with $F(R,T)$ gravity
• Interaction between modified Chaplygin gas and ghost dark energy in presence of extra dimensions
• Tachyonic matter cosmology with exponential and hyperbolic potentials
• Dark Energy and Tachyon Field in Bianchi Type-V Space-time
• A Universe with a generalized ghost dark energy and Van der Waals fluid interacting with a fluid
• Quintessence Cosmology with an Effective $\Lambda$-Term in Lyra Manifold

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• Metric-affine Myrzakulov gravity theories with Gauss-Bonnet and boundary term scalars