Oscillating cosmological model with a varying Λ term in Barber's second self-creation theory of gravitation

We investigate the spatially homogeneous and isotropic FRW cosmological model with a time varying. 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 Lambda CDM model r = 1 and s = 0 only when m = 3/2.