Oscillating cosmological model with a varying $\varLambda$ term in Barber’s second self-creation theory of gravitation

Abstract

We investigate the spatially homogeneous and isotropic FRW cosmological model with a time varying $\varLambda$ term in Barber’s second self-creation theory. The field equations of this theory are solved by using a time periodic varying deceleration parameter $q=m\cos kx -1$ with $m$ and $k$ being positive constants. From the derivation of the expressions for the statefinder parameters $r$ and $s$, it is obtained that the values of $r$ and $s$ of the present model can reduce to statefinder parameters of standard $\varLambda$CDM model $r=1$ and $s=0$ only when $m=\frac{3}{2}$.