K D PATIL*, S H GHATE and R V SARAYKAR+

Department of Mathematics, Nagpur University Campus, Nagpur 440 010, India

* B.D. College of Engineering, Sewagram, Wardha, India

+ Author to whom all correspondence should be addressed

Email: sarayaka@nagpur.dot.net.in

Abstract.

We consider a collapsing spherically symmetric inhomogeneous dust cloud in higher dimensional space-time.  We show that the central singularity of collapse can be a strong curvature or a weak curvature naked singularity depending on the initial density distribution.

Keywords: Higher dimensional space-time; naked singularity; cosmic censorship.

Pacs Nos. 04.20.Dw; 04.50.+h; 04.20.Jb; 04.20.Ex; 04.20.Cv