The 1965 Penrose singularity theorem

By J. Senovilla, David Garfinkle. 2014

224 citations recorded by the source corpus.

We review the first modern singularity theorem, published by Penrose in 1965. This is the first genuine post-Einsteinian result in general relativity, where the fundamental and fruitful concept of the closed trapped surface was introduced. We include historical remarks, an appraisal of the theorem's impact, and relevant current and future work that belongs to its legacy.

Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/ad6c465792ee37b0f53d35cdc19bf9fe09e9aebc

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In Astronomy and Astrophysics

In Nuclear and High Energy Physics

In Statistical and Nonlinear Physics

Citations in the corpus

Numerical methods for finding stationary gravitational solutions (2015, background): “The reader can find a recent review on these theorems in [142].”
Stellar structure models in modified theories of gravity: Lessons and challenges (2019, background): “On the theoretical side one finds the need for an ultraviolet completion of GR, seen as an effective theory [5], or the studies aimed at the resolution of space-time singularities deep inside black holes and in the early universe (see [6] for a pedagogical and historical discussion of this issue).”
Energy conditions in general relativity and quantum field theory (2020, background): “For rigorous proofs of the theorems, apart from the original manuscripts, see [32] and [148].”
Born–Infeld inspired modifications of gravity (2017, background): “, events where our ability to make predictions comes to an end [326].”