Abstract
In this paper, we have investigated Tsallis holographic dark energy (infrared cutoff is the Hubble radius) in homogeneous and anisotropic Bianchi type-III Universe within the framework of Saez–Ballester scalar–tensor theory of gravitation. We have constructed non-interaction and interaction dark energy models by solving the Saez–Ballester field equations. To solve the field equations, we assume a relationship between the metric potentials of the model. We developed the various cosmological parameters (namely deceleration parameter q, equation of state parameter omega _t, squared sound speed v_s^2, om-diagnostic parameter Om(z) and scalar field phi ) and well-known cosmological planes (namely omega _t-omega _t^{'} plane, where ' denotes derivative with respect to ln(a) and statefinders (r-s) plane) and analyzed their behavior through graphical representation for our both the models. It is also, quite interesting to mention here that the obtained results are coincide with the modern observational data.
Highlights
Saez and Ballester [8] introduced a scalar–tensor theory in which metric is combined with a dimensionless scalarfield was developed
In our work, we studied the behavior of Tsallis HDE (THDE) with Hubble horizon as the IR cutoff in the background of Biachi type-I I I space-time within the framework of Saez–Ballester scalar–tensor theory of gravita
We have studied the accelerated expansion by assuming the THDE in Bianchi type-I I I universe within the framework of SB scalar–tensor theory of gravity
Summary
Saez and Ballester [8] introduced a scalar–tensor theory in which metric is combined with a dimensionless scalarfield was developed. Bisabr [20] has studied the holographic DE model in a generalized scalar–tensor theory He has shown that various types of potentials, the equation of state parameter is negative and transition from deceleration to acceleration expansion of the Universe is possible. Sharif and Khanum [33] have investigated the Kaluza–Klein (KK) cosmology in which modified holographic DE is interacting with DM They have shown that the generalized second law of thermodynamics holds without any constraint. Dubey et al [52] have discussed THDE models with Hubble horizon as IR cutoff in axially symmetric Biachi type-I space-time whereas, Dubey et al [53] have studied THDE in Bianchi type-I Universe using hybrid expansion law with k-essence. In our work, we studied the behavior of THDE with Hubble horizon as the IR cutoff in the background of Biachi type-I I I space-time within the framework of Saez–Ballester scalar–tensor theory of gravita-.
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