Anisotropic bianchi V cosmological model in Scale Covariant Theory of Gravitation with a time-variable deceleration parameter

Abstract

In this paper we solve the field equations for Scale covariant theory of gravitation which was introduced by Caunato et al. [1], for Bianchi V line element in the presence of perfect fluid medium. Here the deceleration parameter is considered to be time dependent which gives the average scale factor a(t)=[sinh⁡(βt)]1/n, where n and β are positive constants. This value of average scale factor is the key expression for solving the field equations. Using the recent observational value of q0=−0.52−0.04+0.08 and H0=69.2±1.2 derived from BAO/CMB and H(z) data by Santos et al. (2016) [46], we have evaluated three different pairs of (n,β). We observe that the model represents a phase transition from early deceleration to a present accelerating phase for a particular choice of the pair (n=2,β=92.75). Applying some recently developed diagnostic tools like jerk parameter and statefinders, we find that the derived model is exactly in accordance with standard ΛCDM model. Along with these, many physical, geometric and kinematic properties of the model are thoroughly studied and found consistent with recent observations.

Keywords

• Applied mathematics
• Cosmology
• Scale Covariant theory
• Bianchi type V model
• Variable deceleration parameter