Accepted version, 2.002Mb
Moughal, M. Z. A., & Lim, W. C. (2021). Cylindrical spikes. Classical and Quantum Gravity, 38(7). https://doi.org/10.1088/1361-6382/abe755
Permanent Research Commons link: https://hdl.handle.net/10289/14359
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.
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This is an author’s accepted version of an article published in the journal: Classical and Quantum Gravity. © © 2021 IOP Publishing Ltd.