Recurrence metrics and the physics of closed time-like curves
General Relativity and Quantum Cosmology
2007-05-23 v1
Abstract
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.
Keywords
Cite
@article{arxiv.gr-qc/0107055,
title = {Recurrence metrics and the physics of closed time-like curves},
author = {Moninder Singh Modgil and Deshdeep Sahdev},
journal= {arXiv preprint arXiv:gr-qc/0107055},
year = {2007}
}