LRS Bianchi type-fractional holographic dark energy inBrans-Dicke theory of gravitation in Lyra geometry

LRS Bianchi type-fractional holographic dark energy inBrans-Dicke theory of gravitation in Lyra geometry

V. B. Raut1 and D. V. Rautkar2

1 Department of Mathematics, M. M. Mahavidyalaya, Darwah, Dist. Yavatmal, India.

Email: drvilasraut@gmail.com

2 Department of Mathematics, PRMIT&R, Badnera-Amaravati, India.

Email: dvrautkar@gmail.com

Abstract

In this paper, we have discussed the exact solution of Einstein’s field equations for LRS Bianchi type-  cosmological model in the framework of the scalar-tensor theory of gravitation given by Brans-Dickeand Lyra geometry. In order to obtain a determinant solution, special law of variation for Hubble’s parameter proposed by Berman (1983) has been considered. The relationship between holographic dark energy model with the quintessence dark energy has been established. Phantom potential and dynamics of the Quintessence scalar field are reconstructed, which describes the accelerated phase of the expanding universe. Some physical and geometrical properties of the model are also discussed.

Keywords: Cosmological model; LRS Bianchi type- ; Brans-Dicketheory.

DOI link – https://doi.org/10.69758/GIMRJ/2504I5VXIIIP0062

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