A Review of the Existence of Space-Time Singularities

Ever since the discovery of the Schwarzschild metric the structure of the interiors of black holes has been one of the biggest questions of gravitational physics. The Raychaudhari theorem proposed a possible singularity at the center, and the Penrose Singularity theorem claimed to prove the existence of the singularity at the center of black holes. This was taken to be fact by the community until recently when a paper by physicist Roy Kerr laid down a structured argument against singularities. We analyze both the argument for as well as against singularities. It was seen that what the Penrose singularity theorem proved was not the existence of singularities. Further research and new physics are required to determine whether singularities exist.