Penrose-Hawking Singularity Theorems (Paperback)

Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. The Penrose-Hawking singularity theorems are a set of results in general relativity which attempt to answer the question of when gravitation produces singularities.The Penrose theorem guarantees that some sort of geodesic incompleteness occurs inside any black hole, whenever matter satisfies reasonable energy conditions. (It does not hold for matter described by a super-field, i.e., the Dirac field) The energy condition required for the black-hole singularity theorem is weak: it says that light rays are always focused together by gravity, never drawn apart, and this holds whenever the energy of matter is non-negative.