https://doi.org/10.1140/epjc/s10052-020-08743-9
Regular Article – Theoretical Physics
Bianchi type-III Tsallis holographic dark energy model in Saez–Ballester theory of gravitation
Department of Applied Mathematics, Andhra University, 530003, Visakhapatnam, India
Received:
4
August
2020
Accepted:
6
December
2020
Published online:
24
December
2020
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 
, squared sound speed 
, om-diagnostic parameter Om(z) and scalar field 
) and well-known cosmological planes (namely 
plane, where 
denotes derivative with respect to ln(a) and statefinders (
) 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.
© The Author(s) 2020
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