TL;DR
This paper explores the theoretical possibility of time travel within vacuum solutions of first order gravity, providing explicit examples of geometries that satisfy energy conditions and involve complex tetrad fields.
Contribution
It introduces explicit vacuum spacetime geometries that allow for time travel, involving degenerate and nondegenerate tetrad fields seamlessly connected.
Findings
Explicit examples of time-traveling geometries in vacuum spacetimes.
Solutions satisfy classical energy conditions.
Involves complex tetrad field configurations.
Abstract
The possibility of time travel through the geodesics of vacuum solutions in first order gravity is explored. We present explicit examples of such geometries, which contain degenerate as well as nondegenerate tetrad fields that are sewn together continuously over different regions of the spacetime. These classical solutions to the field equations satisfy the energy conditions.
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