Dirac Talks: Singularities in General Relativity

This week, I'll begin by recalling our definition of a singular
spacetime and the primary questions it leaves open that we'd like to
address. In particular, I'll discuss the question of "where"
singularities are by giving a brief overview of the alphabet of
boundary constructions (any one of which would take a full lecture to
describe in detail) that have been attempted as well as their merits
and drawbacks. Having addressed this question as best as we can, I'll
then begin the discussion of how serious we need to take singular
spacetimes as general relativists, leading to the singularity theorems
of Hawking and Penrose.