A new class of holographic dark energy models in LRS Bianchi Type-I

2021 ◽  
Author(s):  
Anirudh Pradhan ◽  
Vinod Kumar Bhardwaj ◽  
Archana Dixit ◽  
Syamala Krishnannair
Keyword(s):  
Dark Energy ◽  
Bianchi Type ◽  
Holographic Dark Energy ◽  
Cosmological Solution ◽  
Type I ◽  
Field Equations ◽  
Eos Parameter ◽  
Bianchi Type I ◽  
New Class ◽  
Energy Models

In this paper, we examine the LRS Bianchi-type-I cosmological model with holographic dark energy. The exact solutions to the corresponding field equations are obtained by using the generalized hybrid expansion law (HEL). The EoS parameter [Formula: see text] for DE is found to be time-dependent and redshift-dependent and its exiting range for derived model is agreeing well with the current observations. Here, we likewise apply two mathematical diagnostics, the statefinders ([Formula: see text]) and [Formula: see text] plan to segregate HDE model from the [Formula: see text]CDM model. Here, the [Formula: see text] diagnostic trajectories are good tools to classify the dynamical DE model. We found that our model lies in both thawing region and freezing region. We also construct the potential as well as dynamics of the quintessence and tachyon scalar field. Some physical and geometric properties of this model along with the physical acceptability of cosmological solution have been discussed in detail.

scholarly journals Physical Acceptability of the Renyi, Tsallis and Sharma-Mittal Holographic Dark Energy Models in the f(T,B) Gravity under Hubble’s Cutoff

Universe ◽  
2021 ◽  
Vol 7 (3) ◽  
pp. 67
Author(s):  
Salim Harun Shekh ◽  
Pedro H. R. S. Moraes ◽  
Pradyumn Kumar Sahoo
Keyword(s):  
Dark Energy ◽  
Holographic Dark Energy ◽  
Cosmological Parameters ◽  
Field Equations ◽  
Eos Parameter ◽  
Two Fluids ◽  
Gravitational Field Equations ◽  
Energy Models ◽  
Different Types ◽  
The Universe

In the present article, we investigate the physical acceptability of the spatially homogeneous and isotropic Friedmann–Lemâitre–Robertson–Walker line element filled with two fluids, with the first being pressureless matter and the second being different types of holographic dark energy. This geometric and material content is considered within the gravitational field equations of the f(T,B) (where T is the torsion scalar and the B is the boundary term) gravity in Hubble’s cut-off. The cosmological parameters, such as the Equation of State (EoS) parameter, during the cosmic evolution, are calculated. The models are stable throughout the universe expansion. The region in which the model is presented is dependent on the real parameter δ of holographic dark energies. For all δ≥4.5, the models vary from ΛCDM era to the quintessence era.

Consequences of Holographic Dark Energy Cosmological Model in Gravity

2019 ◽  
Vol 1 (1) ◽  
pp. 49-57
Author(s):  
Salim Shekh
Keyword(s):  
Dark Energy ◽  
Bianchi Type ◽  
Holographic Dark Energy ◽  
State Parameter ◽  
Power Laws ◽  
Big Bang ◽  
Type I ◽  
Field Equations ◽  
Gravitational Field Equations ◽  
Energy Components

We have investigated the dynamics of spatially homogeneous Bianchi type-I (LRS) space-time filled with two minimally interacting fields-matter and holographic dark energy components with volumetric power laws expansion towards the gravitational field equations for the linear form of gravity. Solving the set of field equation we obtained the exact solution andobserved that the mode of expansion of the model is accelerating throughout the evolution due to destructive assessment of deceleration parameter. Also it has found that the Gauss-Bonnet invariantand the function of Gauss-Bonnet invariant both are not occur for , the equation of state parameter admits the different values for different values of n whichare relevantin the standard range provided by recent theoretical and experimental data along with the model has a Big-Bang type of singularity at singular point.

scholarly journals Bianchi Type-I Dark Energy Cosmology with Power-Law Relation in Brans-Dicke Theory of Gravitation

2018 ◽  
Vol 2018 ◽  
pp. 1-11 ◽  
Author(s):  
S. D. Katore ◽  
D. V. Kapse
Keyword(s):  
Dark Matter ◽  
Dark Energy ◽  
Power Law ◽  
Bianchi Type ◽  
Type I ◽  
Field Equations ◽  
Coincidence Problem ◽  
Bianchi Type I ◽  
Interacting Dark Energy ◽  
Theory Of Gravitation

We have studied the interacting and non-interacting dark energy and dark matter in the spatially homogenous and anisotropic Bianchi type-I model in the Brans-Dicke theory of gravitation. The field equations have been solved (i) by using power-law relation and (ii) by assuming scale factor in terms of redshift. Here we have considered two cases of an interacting and non-interacting dark energy scenario and obtained general results. It has been found that for suitable choice of interaction between dark energy and dark matter we can avoid the coincidence problem which appears in the ΛCDM model. Some physical aspects and stability of the models are discussed in detail. The statefinder diagnostic pair, i.e., {r,s}, is adopted to differentiate our dark energy models.

scholarly journals Similarity dark energy models in Bianchi type-I space-time

2016 ◽  
Vol 131 (11) ◽  
Author(s):  
Ahmad T. Ali ◽  
Anil Kumar Yadav ◽  
Abdulah K. Alzahrani
Keyword(s):  
Dark Energy ◽  
Bianchi Type ◽  
Space Time ◽  
Type I ◽  
Bianchi Type I ◽  
Energy Models

Bianchi type I cosmological model with perfect fluid and string in f(T) theory of gravitation

2020 ◽  
Vol 29 (08) ◽  
pp. 2050054
Author(s):  
V. R. Chirde ◽  
S. P. Hatkar ◽  
S. D. Katore
Keyword(s):  
Dark Energy ◽  
Perfect Fluid ◽  
Bianchi Type ◽  
Type I ◽  
Field Equations ◽  
Bianchi Type I ◽  
Functional Forms ◽  
Theory Of Gravitation ◽  
Shear Scalar ◽  
The Universe

We have studied LRS Bianchi type I cosmological models with barotropic perfect fluid and cosmic string in the framework of [Formula: see text] theory of gravitation. We have assumed that expansion of the model is proportional to the shear scalar. Hybrid law of expansion is also used to solve the field equations. Three different functional forms of the function [Formula: see text] such as [Formula: see text] [Formula: see text] and [Formula: see text] are chosen for investigation. It is observed that the universe is dominated by quintessence type dark energy. The universe is accelerating, expanding and anisotropic.

scholarly journals LRS Bianchi Type-I Dark Energy Cosmological Models in General Scalar Tensor Theory of Gravitation

2013 ◽  
Vol 2013 ◽  
pp. 1-6 ◽  
Author(s):  
V. U. M. Rao ◽  
D. Neelima
Keyword(s):  
Dark Energy ◽  
Bianchi Type ◽  
Cosmological Models ◽  
Type I ◽  
Scalar Tensor Theory ◽  
Eos Parameter ◽  
Bianchi Type I ◽  
Tensor Theory ◽  
General Scalar ◽  
Theory Of Gravitation

Locally rotationally symmetric (LRS) Bianchi type-I dark energy cosmological model with variable equation of state (EoS) parameter in (Nordtvedt 1970) general scalar tensor theory of gravitation with the help of a special case proposed by (Schwinger 1970) is obtained. It is observed that these anisotropic and isotropic dark energy cosmological models always represent an accelerated universe and are consistent with the recent observations of type-Ia supernovae. Some important features of the models, thus obtained, have been discussed.

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