English

The 1965 Penrose singularity theorem

General Relativity and Quantum Cosmology 2015-06-17 v2 High Energy Physics - Theory Mathematical Physics math.MP History and Philosophy of Physics

Abstract

We review the first modern singularity theorem, published by Penrose in 1965. This is the first genuine post-Einstenian result in General Relativity, where the fundamental and fruitful concept of 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.

Cite

@article{arxiv.1410.5226,
  title  = {The 1965 Penrose singularity theorem},
  author = {José M. M. Senovilla and David Garfinkle},
  journal= {arXiv preprint arXiv:1410.5226},
  year   = {2015}
}

Comments

52 pages, 1 figure, 2 tables. Submitted to Classical and Quantum Gravity for its "Milestones of General Relativity" focus issue to be published during the Centenary Year of GR. Minor typos and references corrected. Version to be published

R2 v1 2026-06-22T06:29:19.398Z