  Brane-World models suggest modification of Newton's law of gravity on the
3-brane at submillimeter scales. The brane-world induced corrections are in
higher powers of inverse distance and appear as additional terms with the
Newtonian potential. The average inter-particle distance in white dwarf and
neutron stars are $10^{-10} cms$ and $10^{-13} cms$ respectively, and
therefore, the effect of submillimeter corrections needs to be investigated. We
show, by carrying out simple manybody calculations, that the mass and
mass-radius relationship of the white dwarf and neutron stars are not effected
by submillimeter corrections. However, our analysis shows that the correction
terms in the effective theory give rise to force akin to surface tension in
normal liquids.
