  Raychaudhuri equation is derived by assuming geometric flow in spacetime M of
n+1 dimensions. The equation turns into a harmonic oscillator form under
suitable transformations.Thereby a relation between geometrical entropy and
mean geodesic deviation is established. This has a connection to chaos theory
where the trajectories diverge exponentially. We discuss its application to
cosmology and black holes. Thus we present a connection between chaos theory
and general relativity.
