# An exact Bianchi V cosmological model in Scale Covariant theory of gravitation: A variable deceleration parameter study

## TL;DR

This paper develops an exact Bianchi V cosmological model within Scale Covariant theory, incorporating a variable deceleration parameter to describe universe acceleration and phase transition.

## Contribution

It presents a new exact anisotropic Bianchi V model with a variable deceleration parameter in Scale Covariant gravity, explaining universe acceleration and transition phases.

## Key findings

- Model exhibits accelerating universe for 0<n<1
- Phase transition from deceleration to acceleration for n>1
- Supports recent observational data on cosmic acceleration

## Abstract

A spatially homogeneous and anisotropic Bianchi type V cosmological model of the universe for perfect fluid within the framework of Scale covariant theory of gravitation proposed by Canuto et al., is studied in view of a variable deceleration parameter which yields the average scale factor $a=sinh^{(1/n)}(\beta t)$ where $\beta$ and $n$ are constants. The solution represents a singular model of the universe. All physical and geometrical properties of the model are thoroughly studied. The time dependent deceleration parameter supports the recent observation. The model represents an accelerating phase for $0<n<1$ and for $n>1$, there is a phase transition from early deceleration to a present accelerating phase.