The final fate of spherical inhomogeneous dust collapse in higher dimensional spacetime

The work given in this paper searches for the occurrence of naked singularities in higher dimensional Tolman type spherically symmetric spacetime and, if they exist, to investigate whether the dimensionality of spacetime has any role in the nature of singularities. We show that dimensionality of spacetime does not essentially change the basic nature of singularity of an inhomogeneous dust collapse. We examine here the nature of the central singularity forming in the spherically symmetric collapse of dust cloud and it is shown that this is always a strong curvature singularity where gravitational tidal force diverge powerfully.