  The present work analyzes the various conditions in which there can be a
bouncing universe solution in f(R) gravity. In the article an interesting
method, to analyze the bouncing FRW solutions in a spatially flat universe
using f(R) gravity models using an effective Einstein frame description of the
process, is presented. The analysis shows that a cosmological bounce in the
f(R) theory need not be described by an equivalent bounce in the Einstein frame
description of the process where actually there may be no bounce at all.
Nevertheless the Einstein frame description of the bouncing phenomena turns out
to be immensely important as the dynamics of the bounce becomes amenable to
logic based on general relativistic intuition. The theory of scalar
cosmological perturbations in the bouncing universe models in $f(R)$ theories
has also been worked out in the Einstein frame.
