The light-cone theorem

Details The light-cone theorem The light-cone theorem

2009-05-13

arxiv.org/abs/0905.2133v2

Class. Quantum Grav. 26 (2009) 135011

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

24 pages, 1 figure. Minor changes to match published version

Scientific paper

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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