Anisotropic background for two fluids: matter and holographic dark energy

Abstract

We discuss a spatially homogeneous and anisotropic Bianchi type-I space-time with two fluids as the content of the Universe: matter and holographic dark energy in the framework of general relativity. To get the exact solutions of Einstein's field equations, we choose the scale factor as a hyperbolic function, specifically, $a\left(t\right)={\sinh }^{\frac{1}{n}}\left(\gamma t\right)$, where $\gamma$ and $n>0$ are arbitrary constants, which gives us a time-dependent deceleration parameter. Then we study our cosmological model under the conditions of the parameters as: $\gamma$ fixed and $n>1$. Our cosmological solutions led to an early deceleration phase followed by the current observed acceleration phase. Further, the anisotropic parameter and some other physical parameters are discussed. We conclude that our cosmological model is consistent with the results of recent astronomical observations.

arXiv commentJOAA accepted version

References in corpus (28)

• Measurements of Omega and Lambda from 42 High-Redshift Supernovae
• f(R,T) gravity
• Quintessence, Cosmic Coincidence, and the Cosmological Constant
• Discovery of a Supernova Explosion at Half the Age of the Universe and its Cosmological Implications
• A Flat Universe from High-Resolution Maps of the Cosmic Microwave Background Radiation
• Cosmological Results from High-z Supernovae
• MAXIMA-1: A Measurement of the Cosmic Microwave Background Anisotropy on angular scales of 10 arcminutes to 5 degrees
• Quintessence and the Rest of the World
• Einstein's Other Gravity and the Acceleration of the Universe
• The WiggleZ Dark Energy Survey: mapping the distance-redshift relation with baryon acoustic oscillations
• Accelerated expansion of the universe driven by tachyonic matter
• The clustering of galaxies in the SDSS-III Baryon Oscillation Spectroscopic Survey: Baryon Acoustic Oscillations in the Data Release 9 Spectroscopic Galaxy Sample
• A 2% Distance to z=0.35 by Reconstructing Baryon Acoustic Oscillations - I : Methods and Application to the Sloan Digital Sky Survey
• Infrared cut-off proposal for the Holographic density
• Accelerating universe from F(T) gravity
• Hubble parameter measurement constraints on the redshift of the deceleration-acceleration transition, dynamical dark energy, and space curvature
• Cosmography: Cosmology without the Einstein equations
• A kinematical approach to dark energy studies
• Cosmological inflation in $F(R,\mathcal{G})$ gravity
• Hubble Space Telescope and Ground-Based Observations of Type Ia Supernovae at Redshift 0.5: Cosmological Implications
• Cosmographic bounds on the cosmological deceleration-acceleration transition redshift in $f(\mathcal{R})$ gravity
• Bianchi Type-$V$ cosmology in $f(R,T)$ gravity with $\Lambda (T)$
• Results from the High-Z Supernova Search Team
• Dark energy model with higher derivative of Hubble parameter
• Constraints on reconstructed dark energy model from SN Ia and BAO/CMB observations
• Holographic Dark Energy Model with Hubble Horizon as an IR Cut-off
• Cosmological aspects of a hyperbolic solution in $f(R,T)$ gravity
• Two-fluid atmosphere from decelerating to accelerating FRW dark energy models