  A five-dimensional gravity theory, motivated by the brane-world picture, with
Kaluza scalar in the 5 - dimensional metric as $g_{55}(r);
r=\sqrt{x^2+y^2+z^2}$, is considered near the possible singularity (small
distance scales where gravity is strong) and is shown to give rise to a
positive contribution to the Raychaudhuri equation. This inhibits the focusing
of world lines and contributes to non - focusing of the worldlines in the
5-dimensional space. It is also shown that the results extend to time dependent
cases such as those relevant for black hole interiors and cosmology.
