## Role of anisotropy and inhomogeneity in Lemaitre-Tolman-Bondi collapse

We study the effects of shear and density inhomogeneities in the formation of naked singularities in spherically symmetric dust space-times. We find that in general, complete knowledge of either one of these (time-dependent) functions, along with physically motivated boundary conditions, fully determines the entire space-time and consequently uniquely specifies the end-state of the gravitational collapse. In contrast-and of more physical relevance-we show that measurements of shear or density inhomogenity at an instant of time do not uniquely determine the outcome of the collapse. We do this by (i) showing that, for open sets of initial data, the same initial shearmore »