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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".
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.
Theoretical physicist John Archibald Wheeler of Princeton University recommended this book to anyone interested in the implications of general relativity for cosmology, the singularity theorems, and the physics of black holes, presented in an almost Euclidean fashion, though he acknowledged that this is not a textbook due to its lack of ...
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.
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 ...
Initial singularity, a hypothesized singularity of infinite density before quantum fluctuations caused the Big Bang and subsequent inflation that created the Universe Penrose–Hawking singularity theorems , in general relativity theory, theorems about how gravitation produces singularities such as in black holes
The initial singularity is a singularity predicted by some models of the Big Bang theory to have existed before the Big Bang. [1] The instant immediately following the initial singularity is part of the Planck epoch , the earliest period of time in the history of our universe.