bcrowell said:By "accessible" do you mean understandable without a lot of prerequisite knowledge, as opposed to accessible online and not paywalled?
Singularity theorems are mathematical theorems that describe the conditions under which a singularity, or a point of infinite density and curvature, will form in a space-time model. These theorems are important in the study of general relativity and the prediction of black holes.
The singularity theorems were developed by physicist Roger Penrose and mathematician Stephen Hawking in the 1960s. Their work built upon the earlier research of physicists Albert Einstein and Alexander Friedmann.
Singularity theorems have significant implications for our understanding of the universe and its evolution. They provide a framework for predicting the formation of black holes, which are important objects in the study of astrophysics.
While the mathematical formalism of singularity theorems may be complex, there are resources available that make them accessible to non-experts. "Singularity Theorems: An Accessible Reference" is one such resource that presents the theorems in a clear and understandable manner.
Singularity theorems have been used to make predictions about the formation of black holes in our universe. They have also been applied in the study of cosmology and the early universe, as well as in the development of theories for quantum gravity.