On rigidity of spacetimes with a compact Cauchy horizon

Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology

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2 pages, contribution to the 9th Marcel Grossmann meeting (MG9), Rome, July 2000

Scientific paper

Smooth spacetimes with a compact Cauchy horizon ruled by closed null
geodesics are considered. The compact Cauchy horizon is assumed to be
non-degenerate. Then, supporting the validity of Penrose's strong cosmic censor
hypothesis, the existence of a smooth Killing vector field in a neighbourhood
of the horizon on the Cauchy development side is shown.

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