On rigidity of spacetimes with a compact Cauchy horizon
classification
🌀 gr-qc
keywords
cauchyhorizoncompactsmoothspacetimesassumedcensorclosed
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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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