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  Manufacture of Gowdy spacetimes with spikes

Rendall, A. D., & Weaver, M. (2001). Manufacture of Gowdy spacetimes with spikes. Classical and Quantum Gravity, 18, 2959-2975.

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Item Permalink: http://hdl.handle.net/11858/00-001M-0000-0013-5650-6 Version Permalink: http://hdl.handle.net/11858/00-001M-0000-0013-5651-4
Genre: Journal Article

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2729.pdf (Preprint), 227KB
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 Creators:
Rendall, Alan D.1, Author              
Weaver, Marsha1, Author
Affiliations:
1Geometric Analysis and Gravitation, AEI-Golm, MPI for Gravitational Physics, Max Planck Society, ou_24012              

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 Abstract: 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.

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Language(s): eng - English
 Dates: 2001
 Publication Status: Published in print
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 Identifiers: eDoc: 2729
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Title: Classical and Quantum Gravity
Source Genre: Journal
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Pages: - Volume / Issue: 18 Sequence Number: - Start / End Page: 2959 - 2975 Identifier: -