Bianchi type-I dark energy cosmology with power-law relation in Brans-Dicke theory of gravitation

TL;DR

This paper explores anisotropic Bianchi type-I cosmological models with dark energy and dark matter in Brans-Dicke gravity, using power-law relations and redshift-dependent scale factors to address the coincidence problem and analyze model stability.

Contribution

It introduces a novel approach to solving field equations with power-law relations in Brans-Dicke theory, considering both interacting and non-interacting dark sectors.

Findings

Suitable interaction can resolve the coincidence problem.

Models exhibit stability under certain conditions.

Statefinder diagnostics differentiate dark energy models.

Abstract

In this paper, we have studied the interacting and non-interacting dark energy and dark matter in the spatially homogenous and anisotropic Bianchi type-I model in the Brans- Dicke theory of gravitation. The field equations have been solved by using (i) power-law relation and (ii) by assuming scale factor in terms of redshift. Here we have considered two cases of an interacting and non-interacting dark energy scenario and obtained general results. It has been found that for suitable choice of interaction between dark energy and dark matter we can avoid the coincidence problem which appears in the model. Some physical aspects and stability of the models are discussed in detail. The statefinder diagnostic pair i.e. {r, s} is adopted to differentiate our dark energy models.