Nonexistence of closed timelike geodesics in Kerr spacetimes
Abstract
The Kerr-star spacetime is the extension over the horizons and in the negative radial region of the Kerr spacetime. Despite the presence of closed timelike curves below the inner horizon, we prove that the timelike geodesics cannot be closed in the Kerr-star spacetime. Since the existence of closed null geodesics was ruled out by the author in Sanzeni [arXiv:2308.09631v3 (2024)], this result shows the absence of closed causal geodesics in the Kerr-star spacetime.
Cite
@article{arxiv.2409.09094,
title = {Nonexistence of closed timelike geodesics in Kerr spacetimes},
author = {Giulio Sanzeni},
journal= {arXiv preprint arXiv:2409.09094},
year = {2024}
}
Comments
Published in Journal of Mathematical Physics. Section (2) (construction of the Kerr-star spacetime) and Section (3) (geodesic motion in Kerr spacetimes) overlap with analogous sections in the Author previous work [arXiv:2308.09631v3 (2024)] (the contents are known basic facts about Kerr spacetimes)