Type III Spacetime with Closed Timelike Curves
General Relativity and Quantum Cosmology
2021-05-19 v1
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 =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
Cite
@article{arxiv.2105.08523,
title = {Type III Spacetime with Closed Timelike Curves},
author = {Faizuddin Ahmed},
journal= {arXiv preprint arXiv:2105.08523},
year = {2021}
}
Comments
10 pages, no figure, appeared in PROGRESS IN PHYSICS (PiP) Volume 12, Issue 4 (October), pp. 329-331 (2016), http://www.ptep-online.com