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The light-cone theorem

Abstract : We prove that the area of cross-sections of light-cones, in space-times satisfying suitable energy conditions, is smaller than or equal to that of the corresponding cross-sections in Minkowski, or de Sitter, or anti-de Sitter space-time. The equality holds if and only if the metric coincides with the corresponding model in the domain of dependence of the light-cone.
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https://hal.archives-ouvertes.fr/hal-00468094
Contributor : Piotr Chrusciel <>
Submitted on : Tuesday, March 30, 2010 - 12:45:31 AM
Last modification on : Friday, April 10, 2020 - 5:19:15 PM

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  • HAL Id : hal-00468094, version 1
  • ARXIV : 0905.2133

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Yvonne Choquet-Bruhat, Piotr T. Chrusciel, Jose M. Martin-Garcia. The light-cone theorem. Classical and Quantum Gravity, IOP Publishing, 2009, 26, pp.135011. ⟨hal-00468094⟩

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