Cylindrical spikes. (15th March 2021)

• Record Type: Journal Article
• Authors: Moughal, M Z A; Lim, W C
• Is Part Of: Classical and quantum gravity. Volume 38:Number 7(2021)
• Publication Date: 2021-03-15
• Subjects: Geroch's transformation -- Stephani's transformation -- spike -- stiff fluid -- cylindrical; Quantum gravity -- Periodicals; Gravitation -- Periodicals; Relativity (Physics) -- Periodicals; Space and time -- Periodicals; Periodicals; 521.1
• DOI: 10.1088/1361-6382/abe755
• Languages: English
• ISSNs: 0264-9381

Abstract

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.