The influence of Penrose's singularity theorem in General Relativity
Abstract
Penrose's crucial contributions to General Relativity, symbolized by his 1965 singularity theorem, received (half of) the 2020 Nobel prize in Physics. A renewed interest in the ideas and implications behind that theorem, its later developments, and other Penrose's ideas improving our understanding of the gravitational field thereby emerged. In this paper I highlight some of the advancements motivated by the theorem that were developed over the years. I also identify some common misconceptions about the theorem's implications. A modern perspective on the concept of closed trapped submanifolds, based on the mean curvature vector, is advocated.
Keywords
Cite
@article{arxiv.2206.13925,
title = {The influence of Penrose's singularity theorem in General Relativity},
author = {José M M Senovilla},
journal= {arXiv preprint arXiv:2206.13925},
year = {2022}
}
Comments
34 pages, 4 figures. Based on my contribution `The 1965 singularity theorem and its legacy' to the conference "Singularity theorems, causality, and all that: A tribute to Roger Penrose" (SCRI21), June 14-18, 2021. To appear in the topical volume `Singularity theorems, causality, and all that (SCRI21)' https://link.springer.com/collections/hjjgajaagg. Improvements suggested by referees