Barrow holographic dark energy models in $f\left(Q\right)$ symmetric teleparallel gravity with Lambert function distribution

Abstract

The paper presents Barrow holographic dark energy (infrared cut-off is the Hubble horizon) suggested by Barrow recently (Physics Letters B 808 (2020): 135643) in an anisotropic Bianchi type-I Universe within the framework of symmetric teleparallel gravity, where the non-metricity scalar $Q$ is responsible for the gravitational interaction. We consider two cases: Interacting and non-interacting models of pressureless dark matter and Barrow holographic dark energy by solving $f\left(Q\right)$ symmetric teleparallel field equations. To find the exact solutions of the field equations, we assume that the time-redshift relation follows a Lambert function distribution as $t\left(z\right)=\frac{m{t}_0}{l}g\left(z\right)$, where $g\left(z\right)=LambertW\left[\frac{l}{m}{e}^{\frac{l-\ln \left(1+z\right)}{m}}\right]$, $m$ and $l$ are non-negative constants and $t_0$ represents the age of the Universe. Moreover, we discuss several cosmological parameters such as energy density, equation of state (EoS) and skewness parameters, squared sound speed, and $({\omega }_B-{\omega }_B^{{}^{\prime }})$ plane. Finally, we found the values of the deceleration parameter (DP) for the Lambert function distribution as $q_{(z=0)}=-0.45$ and $q_{(z=-1)}=-1$ which are consistent with recent observational data, i.e. DP evolves with cosmic time from initial deceleration to late-time acceleration.

arXiv commentIJGMMP accepted version

References in corpus (42)

• Observational Evidence from Supernovae for an Accelerating Universe and a Cosmological Constant
• Detection of the Baryon Acoustic Peak in the Large-Scale Correlation Function of SDSS Luminous Red Galaxies
• Unified cosmic history in modified gravity: from F(R) theory to Lorentz non-invariant models
• Type Ia Supernova Discoveries at z>1 From the Hubble Space Telescope: Evidence for Past Deceleration and Constraints on Dark Energy Evolution
• The World as a Hologram
• Introduction to Modified Gravity and Gravitational Alternative for Dark Energy
• f(R,T) gravity
• Quintessence, Cosmic Coincidence, and the Cosmological Constant
• A Dynamical Solution to the Problem of a Small Cosmological Constant and Late-time Cosmic Acceleration
• A Model of Holographic Dark Energy
• Essentials of k-essence
• Effective Field Theory, Black Holes, and the Cosmological Constant
• MAXIMA-1: A Measurement of the Cosmic Microwave Background Anisotropy on angular scales of 10 arcminutes to 5 degrees
• Unification of Dark Matter and Dark Energy: the Inhomogeneous Chaplygin Gas
• Coincident General Relativity
• The Area of a Rough Black Hole
• Planck 2015 results. XVI. Isotropy and statistics of the CMB
• Coupling matter in modified $Q$-gravity
• Cosmological solutions and growth index of matter perturbations in $f(Q)$ gravity
• Barrow holographic dark energy
• Effects of the interaction between dark energy and dark matter on cosmological parameters
• Science with the space-based interferometer eLISA. III: Probing the expansion of the Universe using gravitational wave standard sirens
• Energy Conditions in $f(Q)$ gravity
• Interacting Dark Energy and Dark Matter: observational Constraints from Cosmological Parameters
• Signatures of $f(Q)$-gravity in cosmology
• On the Importance of NNLO QCD and Isospin-breaking Corrections in ${\epsilon }^{\prime }/\epsilon$
• Accelerated Expansion of the Universe in Non-minimally Coupled Gravity
• Cosmography in $f(Q)$ gravity
• Generalized phantom energy
• Cosmology with hybrid expansion law: scalar field reconstruction of cosmic history and observational constraints
• Spherically symmetric configuration in $f(Q)$ gravity
• Anisotropic nature of space-time in $f(Q)$ gravity
• Anisotropic cosmological models in $f(R,T)$ gravity with variable deceleration parameter
• Barrow holographic dark energy with Hubble horizon as IR cutoff
• Cosmic acceleration and energy conditions in $\Lambda$CDM symmetric teleparallel $f(Q)$ gravity
• Barrow agegraphic dark energy
• Complete dark energy scenario in $f(Q)$ gravity
• Measurement of the expansion rate of the Universe from γ-ray attenuation
• Stability analysis of anisotropic Bianchi type-I cosmological model in teleparallel gravity
• Holographic dark energy in Gauss-Bonnet gravity with Granda-Oliveros cut-off
• Geodesic Deviation Equation In $f(Q)$-Gravity
• Flat FLRW Universe in logarithmic symmetric teleparallel gravity with observational constraints

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• Holographic F(Q,T) Gravity with Lambert Solution