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Bianchi I Universe; Brans–Dicke theory; linearly varying deceleration parameter; dark energy.

The present article deals with the study of interacting and non-interacting dark energy (DE) and dark matter (DM) in the spatially homogeneous and anisotropic Bianchi I space–time within the framework of Brans–Dicke (BD) scalar–tensor theory of gravitation. As the set of field equations is not closed, exact solutions are obtained using power-law relation and assuming a linearly varying deceleration parameter. The physical acceptability and stability of the obtained model are scrutinised using energy conditions and squared speed of sound. The statefinder diagnostic method is adopted to discuss and measure the deviation of the considered model from the $\Lambda$ cold dark matter ($\Lambda$CDM) model.

G P SINGH¹ ASHWINI R LALKE¹ NIKHIL HULKE²

1. Department of Mathematics, Visvesvaraya National Institute of Technology, Nagpur 440 010, India
2. Department of Applied Mathematics, Shri Ramdeobaba College of Engineering and Management, Nagpur 440 013, India

Published

13 October 2020

Manuscript received

7 February 2020

Manuscript revised

28 July 2020

Accepted

7 August 2020

Final version published online

13 August 2020