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We present a new asymptotically-flat time-machine model made solely of vacuumand dust. The spacetime evolves from a regular spacelike initial hypersurface Sand subsequently develops closed timelike curves. The initial hypersurface S isasymptotically flat and topologically trivial. The chronology violation occursin a compact manner; namely the first closed causal curves form at the boundaryof the future domain of dependence of a compact region in S (the core). Thiscentral core is empty, and so is the external asymptotically flat region. Theintermediate region surrounding the core (the envelope) is made of dust withpositive energy density. This model trivially satisfies the weak, dominant, andstrong energy conditions. Furthermore it is governed by a well-defined systemof field equations which possesses a well-posed initial-value problem.Comment: 15 pages; accepted to Phys. Rev. D (no modifications

Formation of closed timelike curves in a composite vacuum/dust asymptotically flat spacetime