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The Hawking singularity theorem is based on the Penrose theorem and it is interpreted as a gravitational singularity in the Big Bang situation. Penrose shared half of the Nobel Prize in Physics in 2020 "for the discovery that black hole formation is a robust prediction of the general theory of relativity".
Download QR code; Print/export ... This is a list of mathematical topics in relativity, by Wikipedia page. ... Penrose–Hawking singularity theorems;
Sard's theorem; Signature defect; Singular point of a curve; Singular point of an algebraic variety; The Singularity (film) Splitting lemma (functions) Springer resolution; Stratified Morse theory; The Swallow's Tail
Failure of the cosmic censorship hypothesis leads to the failure of determinism, because it is yet impossible to predict the behavior of spacetime in the causal future of a singularity. Cosmic censorship is not merely a problem of formal interest; some form of it is assumed whenever black hole event horizons are mentioned.
He may have been largely responsible for applying the term singularity theory to the area including the input from algebraic geometry, as well as that flowing from the work of Whitney, Thom and other authors. He wrote in terms making clear his distaste for the too-publicised emphasis on a small part of the territory.
This is a list of notable theorems. Lists of theorems and similar statements include: ... Malgrange preparation theorem (singularity theory) ... Code of Conduct ...
Penrose–Hawking singularity theorems for predicting when singularities occur, named after Roger Penrose and Stephen Hawking. [8] Entertainment ... Code of Conduct;
In general relativity, the Raychaudhuri equation, or Landau–Raychaudhuri equation, [1] is a fundamental result describing the motion of nearby bits of matter.. The equation is important as a fundamental lemma for the Penrose–Hawking singularity theorems and for the study of exact solutions in general relativity, but has independent interest, since it offers a simple and general validation ...