Singularity structure of a self-similar Tolman type model in a higher-dimensional spacetime

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A Tolman-Bondi type inhomogeneous, spherically symmetric metric is obtained in an (n+2)-dimensional spacetime withn≥2. The metric form admits the familiar shell focusing singularity which, depending on the inhomogeneity parameter, may become naked. Moreover, for the particular case of a marginally bound collapsing model one may also obtain strong-curvature singularities, which provides yet another counterexample to the cosmic censorship hypothesis. It is interesting to point out that it is the assumption of self similarity rather than spherical symmetry which determines the nature of the singularity. This, however, extends an earlier observation of Lake and Zannias in four-dimensional spacetime.

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