Penrose–Hawking singularity theorems

The Penrose–Hawking singularity theorems (after Roger Penrose and Stephen Hawking) are a set of results in general relativity that attempt to answer the question of when gravitation produces singularities. The Penrose singularity theorem is a theorem in semi-Riemannian geometry and its general relativistic interpretation predicts a gravitational singularity in black hole formation. The Hawking singularity theorem is based on the Penrose theorem and it is interpreted as a gravitational singularity in the Big Bang situation. Penrose was awarded the Nobel Prize in Physics in 2020 "for the discovery that black hole formation is a robust prediction of the general theory of relativity", which he shared with Reinhard Genzel and Andrea Ghez.

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enThe Penrose–Hawking singularity theorems (after Roger Penrose and Stephen Hawking) are a set of results in general relativity that attempt to answer the question of when gravitation produces singularities. The Penrose singularity theorem is a theorem in semi-Riemannian geometry and its general relativistic interpretation predicts a gravitational singularity in black hole formation. The Hawking singularity theorem is based on the Penrose theorem and it is interpreted as a gravitational singularity in the Big Bang situation. Penrose was awarded the Nobel Prize in Physics in 2020 "for the discovery that black hole formation is a robust prediction of the general theory of relativity", which he shared with Reinhard Genzel and Andrea Ghez.
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enThe Penrose–Hawking singularity theorems (after Roger Penrose and Stephen Hawking) are a set of results in general relativity that attempt to answer the question of when gravitation produces singularities. The Penrose singularity theorem is a theorem in semi-Riemannian geometry and its general relativistic interpretation predicts a gravitational singularity in black hole formation. The Hawking singularity theorem is based on the Penrose theorem and it is interpreted as a gravitational singularity in the Big Bang situation. Penrose was awarded the Nobel Prize in Physics in 2020 "for the discovery that black hole formation is a robust prediction of the general theory of relativity", which he shared with Reinhard Genzel and Andrea Ghez.
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Penrose–Hawking singularity theorems
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enPenrose–Hawking singularity theorems
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Andrea Ghez
Angular momentum
Big Bang
Black hole
Bonnet–Myers theorem
Category:General relativity
Category:Mathematical methods in general relativity
Category:Theorems in general relativity
Cauchy surface
Centrifugal force
Closed timelike curve
Compact space
Congruence (general relativity)
Cosmic inflation
Einstein field equations
Energy condition
Energy conditions
Energy–momentum tensor
Event horizon
General relativity
Geodesic
Geodesic manifold
Globally hyperbolic
Global spacetime structure
Gravitational singularity
Infinite Derivative Gravity
Injective
Kerr black hole
Kerr metric
Kerr–Newman metric
Manifold
Nobel Prize in Physics
No-hair theorem
Null curve
Null energy condition
Null geodesic
Orbifold
Ray (optics)
Raychaudhuri equation
Reinhard Genzel
Reissner–Nordström metric
Ricci curvature
Roger Penrose
Scalar field
Schwarzschild metric
Semi-Riemannian geometry
Solutions of the Einstein field equations
Star
Stephen Hawking
Stress–energy tensor
Timelike congruence
Timelike curve
Topology
Trapped null surface
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Category:General relativity
Category:Mathematical methods in general relativity
Category:Theorems in general relativity
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