  Recently, a tight correlation between the dynamical radial acceleration and
the baryonic radial acceleration in galaxies - the radial acceleration relation
- has been discovered. This has been claimed as an indirect support of the
modified gravity theories. However, whether the radial acceleration relation
could also be found in galaxy clusters is controversial. In this article, we
derive and present an analytic radial acceleration relation for the central
region of galaxy clusters. We examine the data of some large galaxy clusters
and we find that the resulting radial acceleration relation has a very large
scatter. Moreover, although the radial acceleration relation for galaxy
clusters shows some agreement with the one discovered in galaxies for a certain
range of baryonic radial acceleration, their functional forms are somewhat
different from each other. This suggests that the radial acceleration relation
may not be a universal relation in general.
