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Invariant classification of metrics using invariant formalism
Departamento de Matemática e Aplicações, Universidade do Minho, Guimarães, Portugal .
Department of Mathematics, Linköping Universitet.
Umeå University, Faculty of Science and Technology, Department of Physics.
2010 (English)In: Journal of Physics: Conference Series, Volume 229, 2010: M P Machado Ramos et al 2010 J. Phys.: Conf. Ser. 229 012049 / [ed] Ruth Lazkoz and Raül Vera, 2010Conference paper (Refereed)
Abstract [en]

Metrics obtained by integrating within the generalised invariant formalism are structured around their intrinsic coordinates and this considerably simplifies their invariant classification and symmetry analysis. We illustrate this by presenting a simple and transparent complete invariant classification of the conformally flat pure radiation metrics (except plane waves) in such intrinsic coordinates. By performing this classification we have corrected and completed statements and results by Edgar and Vickers, and by Skea, about the orders of Cartan invariants at which particular information becomes available.

Place, publisher, year, edition, pages
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Physical Sciences
URN: urn:nbn:se:umu:diva-34854DOI: 10.1088/1742-6596/229/1/012049OAI: diva2:326007
Spanish Relativity Meeting ERE 2009
Available from: 2010-06-21 Created: 2010-06-21 Last updated: 2010-08-20Bibliographically approved

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