Generating spiky solutions of Einstein field equations with the Stephani transformation
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 the Stephani transformation with the rotational Killing vector field of the locally rotationally symmetric Jacobs solution. The late-time permanent spike occurs along the cylindrical axis. 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.
Cite
@article{arxiv.2102.09776,
title = {Generating spiky solutions of Einstein field equations with the Stephani transformation},
author = {Muhammad Zubair Ali Moughal},
journal= {arXiv preprint arXiv:2102.09776},
year = {2021}
}
Comments
PhD thesis. arXiv admin note: text overlap with arXiv:gr-qc/0410126 by other authors