Cylindrical spikes
| Autor: | Moughal, Muhammad Zubair Ali, Lim, Woei Chet |
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| Rok vydání: | 2021 |
| Předmět: | |
| Zdroj: | Class. Quantum Grav. 38 (2021) 075029 |
| Druh dokumentu: | Working Paper |
| DOI: | 10.1088/1361-6382/abe755 |
| Popis: | 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. Comment: 25 pages, 13 figures. Abridged version of arXiv:2102.09776. Accepted by CQG |
| Databáze: | arXiv |
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