Cylindrical spikes

Autor: Woei Chet Lim, Zubair Moughal
Jazyk: angličtina
Rok vydání: 2021
Předmět:
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.
25 pages, 13 figures. Abridged version of arXiv:2102.09776. Accepted by CQG
Databáze: OpenAIRE