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ID: 2729.0, MPI für Gravitationsphysik / Geometric Analysis and Gravitation
Manufacture of Gowdy spacetimes with spikes
Authors:Rendall, Alan D.; Weaver, Marsha
Language:English
Date of Publication (YYYY-MM-DD):2001
Title of Journal:Classical and Quantum Gravity
Volume:18
Start Page:2959
End Page:2975
Review Status:not specified
Audience:Not Specified
Abstract / Description:In numerical studies of Gowdy spacetimes evidence has been found for the development of localized features (''spikes') involving large gradients near the singularity. The rigorous mathematical results available up to now did not cover this kind of situation. In this work we show the existence of large classes of Gowdy spacetimes exhibiting features of the kind discovered numerically. These spacetimes are constructed by applying certain transformations to previously known spacetimes without spikes. It is possible to control the behaviour of the Kretschmann scalar near the singularity in detail. This curvature invariant is found to blow up in a way which is non-uniform near the spike in some cases. When this happens it demonstrates that the spike is a geometrically invariant feature and not an artefact of the choice of variables used to parametrize the metric. We also identify another class of spikes which are artefacts. The spikes produced by our method are compared with the results of numerical and heuristic analyses of the same situation.
External Publication Status:published
Document Type:Article
Communicated by:Gerhard Huisken
Affiliations:MPI für Gravitationsphysik/Geometric Analysis and Gravitation
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