Interaction of Anisotropic Dark Energy with Generalized Hybrid Expansion Law

Md Khurshid Alam,L Anjana Devi,S Surendra Singh,Theophanes Grammenos

doi:10.1155/2022/5820222

Md Khurshid Alam, L Anjana Devi + Show 2 more

Open Access

https://doi.org/10.1155/2022/5820222

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Abstract

Interaction of dark energy in the anisotropic locally rotationally symmetric (LRS) Bianchi type-I metric is investigated in the context of modified f R , T theory of gravity, where R is the Ricci scalar and T is the trace of stress energy momentum tensor. We choose the particular form of the functional f R , T = f 1 R + f 2 T ; then, we find the exact solutions of the field equations by applying inhomogeneous equation of state, p = ω ρ − Λ t , and a generalized form of hybrid expansion law. The transition of deceleration to acceleration is observed in this model. It is also observed that the universe shows accelerated expansion at late epoch. The derived model overlaps with Λ CDM at late time which is in agreement with present observation. Energy conditions of the derived model are also investigated. From the plot, we observe the age of universe t 0 ≈ 13.821 Gyr for the observed H 0 ≈ 70.07 Kms ‐ 1 Mpc ‐ 1 . The physical and geometrical behaviours of these models are also discussed.

Highlights

The examination of observational data suggests that our universe is undergoing a phase of accelerated expansion
By using the value of t0 in equation (25) for m = 0:134, we calculated the values of present deceleration parameter ðq0Þ as q0 ≈ −1 which is in agreement with present observation
The expansion scalar shows that the expansion rate is infinite at the beginning and decreases monotonically at late times

Summary

Introduction

The examination of observational data suggests that our universe is undergoing a phase of accelerated expansion. These modified gravity theories become an alternative to the conventional cosmology as it can describe the late time cosmic speed up process of expansion Some of such theories are f ðRÞ gravity [7,8,9], f ðτÞ gravity [10, 11] where τ is torsion scalar, f ðGÞ gravity [12, 13] where G is Gauss-Bonnet scalar, and f ðR, TÞ gravity [14] where R is the Ricci scalar and T is the trace of the energy momentum tensor. Bianchi type-VI0 metric is discussed with ghost dark energy and found that the model behaves like ΛCDM at the late phase of cosmic time [18].

Metric and Field Equations

Model with Generalized Hybrid Expansion Law

Energy Conditions and Some Observational Parameters

Findings

Conclusion