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arXiv · 2102.12028

Cylindrical spikes

Muhammad Zubair Ali Moughal·Woei Chet Lim
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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 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.

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Muhammad Zubair Ali Moughal, Woei Chet Lim. 2021-02-24. Cylindrical spikes. https://doi.org/10.1088/1361-6382%2Fabe755

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