  The discrepancy between observed virial and baryonic mass in galaxy clusters
have lead to the missing mass problem. To resolve this, a new, non-baryonic
matter field, known as dark matter has been invoked. However, till date no
possible constituents of the dark matter components are known. This has led to
various models, by modifying gravity at large distances to explain the missing
mass problem. The modification to gravity appears very naturally when effective
field theory on a lower dimensional manifold, embedded in a higher dimensional
spacetime is considered. It has been shown that in a scenario with two lower
dimensional manifolds separated by a finite distance is capable to address the
missing mass problem, which in turn determines the kinematics of the brane
separation. Consequences for galactic rotation curves are also described.
