Abstract
Objectives: In the f(R, T) theory of gravity, to examine the Bianchi type-I model with dark matter and Tsallis holographic dark energy (THDE). Method: To acquire exact solutions of the field equations, we used THDE density and two separate volumetric expansions. The model’s physical properties are compared to current observational evidence. Findings/ Novelty: The universe is in accelerating stage for both volumetric expansion models and it reaches isotropy at a delayed time, according to the study of the deceleration parameter. In addition, our model acts as a lambda model. Keywords: Bianchi type-I; THDE; f(R T) gravity; Isotropy; Lambda model
Highlights
The last few decades of cosmological study have resulted in a paradigm shift in our understanding of the universe
We have found that many authors have investigated different aspects of these Bianchi type models in f(R,T) theories viz. Samanta and Bishi (11) investigated the Bianchi-III model for wet dark fluid in f(R,T)-gravity, Tiwari et al (12) studied the varying deceleration parameter in f(R,T)-theory, Brahma and Dewri (13) investigated Bianchi type-V model in f(R,T) gravity
As per the power law expansion, the universe is decelerating for 0 < n < 1 and accelerating for n > 1 and for exponential expansion, q = −1 is consistent with similar supernovae Ia findings that the universe is accelerating late in times
Summary
The last few decades of cosmological study have resulted in a paradigm shift in our understanding of the universe. Many cosmological models have been suggested by cosmologists to examine the proper existence of DE Among these models, the holographic dark energy (HDE). Has recently been considered as a new kind of HDE model that uses Tsallis generalized entropy Sβ = αAβ (2) to demonstrate the cosmological phenomena, where β denotes the parameter (non-additive) and α is a constant. According to some astrophysical observations, the universe may have been anisotropic in the early time and later the universe becomes homogeneous and isotropic In this case, the Bianchi type metric is appropriate for studying the evolution of the universe since it completely explains the effect of anisotropy. Even for ordinary matter, the Bianchi type model isotropizes at a late time.
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