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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 (KVF) of the locally rotationally symmetric Jacobs solution. The late-time permanent spike occurs along the cylindrical axis. Using a mixed KVF, 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.
Type
Journal Article
Type of thesis
Series
Citation
Moughal, M. Z. A., & Lim, W. C. (2021). Cylindrical spikes. Classical and Quantum Gravity, 38(7). https://doi.org/10.1088/1361-6382/abe755
Date
2021
Publisher
IOP Publishing LTD
Degree
Supervisors
Rights
This is an author’s accepted version of an article published in the journal: Classical and Quantum Gravity. © © 2021 IOP Publishing Ltd.