Recurrence metrics and the physics of closed time-like curves

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We investigate vacuum solutions of Einstein's equation for a universe with an S^1 topology of time. Such a universe behaves like a time-machine and has geodesics which coincide with closed time-like curves (CTCs). A system evolving along a CTC experiences the Loschmidt velocity reversion and undergoes a recurrence commensurate with the universal period. We indicate why this universe is free of the causality paradoxes, usually associated with CTCs.

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General Relativity and Quantum Cosmology

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http://salesiana.dossiersoluciones.com/handle/123456789/33959

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/gr-qc/0107055
 http://arxiv.org/abs/gr-qc/0107055

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arXiv