Abstract.
We construct an axially symmetric spacetime admitting, after a certain instant, closed timelike curves (CTCs) indicating that it is a time-machine spacetime. The spacetime, which is locally anti-de Sitter, is a four-dimensional extension of the Misner space with identical causality-violating properties. In this spacetime, CTCs evolve from a casually well-behaved initial hypersurface.
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Ahmed, F., Bikash Hazarika, B. & Sarma, D. The anti-de Sitter spacetime as a time machine. Eur. Phys. J. Plus 131, 230 (2016). https://doi.org/10.1140/epjp/i2016-16230-4
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DOI: https://doi.org/10.1140/epjp/i2016-16230-4