Strong cosmic censorship for T2-symmetric cosmological spacetimes with collisionless matter

Abstract

We prove strong cosmic censorship for T2-symmetric cosmological spacetimes (with spatial topology T3 and vanishing cosmological constant Lambda) with collisionless matter. Gowdy symmetric spacetimes constitute a special case. The formulation of the conjecture is in terms of generic C2-inextendibility of the metric. Our argument exploits a rigidity property of Cauchy horizons, inherited from Killing fields.

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