A comprehensive book for the post graduates and researchers in theoretical astrophysics who want to study the space-time singularities arising in the gravitational collapse from a mathematician’s point of view. The study has become significant from the perspective of cosmic censorship hypothesis. Four and higher-dimensional space-times are investigated for the possibility of cosmic censorship violation. Analysis of space-time singularities formed in the gravitational collapse of a star is one of the most important areas of mathematical research today. The book provides methods to determine the stability and strength of the singularities arising in various space-times.