presence of a perfect fluid source in four-and five-dimensional space–time in which this
cosmological evolution in self-creation is presented by Reddy et al (2009 Int. J. Theor. Phys.
48 10). An exact cosmological model is presented using a relation between Einstein's
gravity field equation components due to a metric with the same component from f (R) theory
of gravity. Some physics and kinematical properties of the model are also discussed.