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  2. Penrose–Hawking singularity theorems - Wikipedia

    en.wikipedia.org/wiki/PenroseHawking...

    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". [1]

  3. List of theorems - Wikipedia

    en.wikipedia.org/wiki/List_of_theorems

    Peixoto's theorem (dynamical systems) Penrose–Hawking singularity theorems ; Pentagonal number theorem (number theory) Perfect graph theorem (graph theory) Perlis theorem (graph theory) Perpendicular axis theorem ; Perron–Frobenius theorem (matrix theory) Peter–Weyl theorem (representation theory)

  4. Category:Mathematical methods in general relativity - Wikipedia

    en.wikipedia.org/wiki/Category:Mathematical...

    Penrose–Hawking singularity theorems; Positive energy theorem; R. Regge calculus; S. Scalar–vector–tensor decomposition;

  5. Raychaudhuri equation - Wikipedia

    en.wikipedia.org/wiki/Raychaudhuri_equation

    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 ...

  6. Roger Penrose - Wikipedia

    en.wikipedia.org/wiki/Roger_Penrose

    He has received several prizes and awards, including the 1988 Wolf Prize in Physics, which he shared with Stephen Hawking for the Penrose–Hawking singularity theorems, [6] and the 2020 Nobel Prize in Physics "for the discovery that black hole formation is a robust prediction of the general theory of relativity".

  7. The Large Scale Structure of Space–Time - Wikipedia

    en.wikipedia.org/wiki/The_Large_Scale_Structure...

    According to the mathematical physicist John Baez from the University of California, Riverside, The Large Scale Structure of Space–Time was "the first book to provide a detailed description of the revolutionary topological methods introduced by Penrose and Hawking in the early seventies." [4]

  8. Amal Kumar Raychaudhuri - Wikipedia

    en.wikipedia.org/wiki/Amal_Kumar_Raychaudhuri

    Amal Kumar Raychaudhuri (14 September 1923 – 18 June 2005) was an Indian physicist, known for his research in general relativity and cosmology.His most significant contribution is the eponymous Raychaudhuri equation, which demonstrates that singularities arise inevitably in general relativity and is a key ingredient in the proofs of the Penrose–Hawking singularity theorems. [5]

  9. Conformal cyclic cosmology - Wikipedia

    en.wikipedia.org/wiki/Conformal_cyclic_cosmology

    Conformal cyclic cosmology (CCC) is a cosmological model in the framework of general relativity and proposed by theoretical physicist Roger Penrose. [1] [2] [3] In CCC, the universe iterates through infinite cycles, with the future timelike infinity (i.e. the latest end of any possible timescale evaluated for any point in space) of each previous iteration being identified with the Big Bang ...