Standard Cosmological Evolution in f(R) Model to Kaluza Klein Cosmology

TL;DR

This paper explores cosmological evolution within $f(R)$ gravity models in four and five dimensions, deriving exact solutions and analyzing their physical and kinematical properties, extending previous work to higher-dimensional frameworks.

Contribution

It provides explicit exact cosmological solutions in $f(R)$ gravity for both four and five-dimensional spacetimes, linking Einstein and $f(R)$ field equations.

Findings

Exact cosmological models in $f(R)$ gravity for 4D and 5D

Analysis of physical and kinematical properties of the models

Extension of previous models to higher-dimensional cosmology

Abstract

In this paper, using $f(R)$ theory of gravity we explicitly calculate cosmological evolution in the 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 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.