Lim, Woei ChetMoughal, Muhammad Zubair Ali2021-01-062021-01-062021Moughal, M. Z. A. (2021). Generating spiky solutions of Einstein field equations with the Stephani transformation (Thesis, Doctor of Philosophy (PhD)). The University of Waikato, Hamilton, New Zealand. Retrieved from https://hdl.handle.net/10289/14037https://hdl.handle.net/10289/14037The 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 the Stephani transformation with the rotational Killing vector field of the locally rotationally symmetric Jacobs solution. The late-time permanent spike occurs along the cylindrical axis. 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.application/pdfenAll items in Research Commons are provided for private study and research purposes and are protected by copyright with all rights reserved unless otherwise indicated.Stephani transformationGeroch transformationPermanent spikesTransient spikesEarly-timeLate-timeLRS Jacobs solutionCylindricalOvershoot transitionThesis2021-01-05