The influence of Penrose’s singularity theorem in general relativity - INSPIRE

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The influence of Penrose’s singularity theorem in general relativity

José M.M. Senovilla
(
- Basque U., Bilbao
)

Jun 28, 2022

34 pages

Published in:

Gen.Rel.Grav. 54 (2022) 11, 151

Published: Nov 23, 2022

e-Print:

2206.13925 [gr-qc]

DOI:

10.1007/s10714-022-03038-8

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Abstract: (Springer)

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.

Note:

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

Singularity theorems
Trapped surfaces
Causality
Spacetime extensions
trapped surfaces
causality
spacetime extensions
singularity
general relativity
gravitation

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