Cylindrical spikes
Abstract
The Geroch/Stephani transformation is a solution-generating transformation, and may generate spiky solutions. The spikes in solutions generated so far are either early-time permanent spikes or transient spikes. We want to generate a solution with a late-time permanent spike. We achieve this by applying Stephani's transformation with the rotational Killing vector field of the locally rotationally symmetric Jacobs solution. The late-time permanent spike occurs along the cylindrical axis. Using a mixed Killing vector field, the generated solution also features a rich variety of transient structures. We introduce a new technique to analyse these structures. Our findings lead us to discover a transient behaviour, which we call the overshoot transition. These discoveries compel us to revise the description of transient spikes.
Cite
@article{arxiv.2102.12028,
title = {Cylindrical spikes},
author = {Muhammad Zubair Ali Moughal and Woei Chet Lim},
journal= {arXiv preprint arXiv:2102.12028},
year = {2021}
}
Comments
25 pages, 13 figures. Abridged version of arXiv:2102.09776. Accepted by CQG