Type III Spacetime with Closed Timelike Curves

TL;DR

This paper introduces a cyclic symmetric spacetime with closed timelike curves that emerge after a specific time, resembling a time-machine, and is free of singularities, generalizing Misner space in curved spacetime.

Contribution

It presents a new class of non-singular, cyclic spacetime with CTCs, extending Misner space to four dimensions with pure radiation and negative cosmological constant.

Findings

Spacetime admits CTCs evolving causally from initial hypersurface.

No curvature singularities are present in the model.

The model generalizes Misner space to curved spacetime with matter and cosmological constant.

Abstract

We present a cyclic symmetric space-time, admitting closed time-like curves (CTCs) which appear after a certain instant of time, i. e., a time-machine space-time. These closed time-like curves evolve from an initial spacelike hypersurface on the plane $z$=constant in a causally well-behaved manner. The space-time discussed here is free from curvature singularities and a 4D generalization of the Misner space in curved space-time. The matter field is of pure radiation with a negative cosmological constant