Lrs Bianchi Type-I Cosmological Model in Self Creation Theory of Gravitation

Abstract

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We have examined LRS Bianchi type-I space-time in the continuance of Barrow holographic dark energy, for the self-creation theory in this following article. In order to derive an accurate solution to the field equations, we put forth metric potentials relation as  and equalizing the sum of the trace of the energy momentum tensor to zero as . Further, we have observed the physical behavior of some important cosmological parameters like deceleration , statefinder  EoS (), () plane, skewness parameter (), squared speed of sound () that analyzes the model’s stability. Also, study of cosmographic parameters () and density parameter () has been conducted and we could conclude that these parameters are in obedience with the current observational data. The model thus obtained has a stable behavior; and shows quintessence nature and that the Universe is expanding in an accelerated manner.