Eur. Phys. J. Plus (2018) 133: 303
https://doi.org/10.1140/epjp/i2018-12139-2

Regular Article

Dynamics of axially symmetric anisotropic modified holographic Ricci dark energy model in Brans-Dicke theory of gravitation

¹ Department of Mathematics, GMR Institute of Technology, Rajam, Andhra Pradesh, India
² Department of Applied Mathematics, Andhra University, 530003, Visahapatnam, India
³ Advanced Analytical Laboratory, Andhra University, 530003, Visakhapatnam, India
⁴ Department of Mathematics, ANITS (A), 531162, Visakhapatnam, India

^* e-mail: reddy_einstein@yahoo.com

Received: 24 February 2018
Accepted: 21 June 2018
Published online: 2 August 2018

Abstract

In this paper, we have derived field equations of Brans-Dicke (Phys. Rev. 124, 925 (1961)) theory of gravitation with the help of an axially symmetric anisotropic Bianchi-type space-time in the presence of dark matter and anisotropic modified holographic Ricci dark energy. We have presented a cosmological model solving the field equations. We have used i) the hybrid expansion law, ii) a relation between metric potentials and iii) the modified holographic Ricci dark energy defined by Chen and Jing (Phys. Lett. B 679, 144 (2009)) to solve the field equations. We have determined the cosmological parameters, namely, EoS parameter, matter energy density, anisotropic dark energy density, Skewness parameter, deceleration and jerk parameters. A detailed physical discussion of these dynamical parameters is presented through a graphical representation. We observe that we have a quintessence model which exhibits a smooth transition from decelerated phase to an accelerated phase of the universe. This situation is quite in agreement with the scenario of modern cosmology.