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  A global foliation of Einstein-Euler spacetimes with Gowdy-symmetry on T3

LeFloch, P. G., & Rendall, A. D. (2011). A global foliation of Einstein-Euler spacetimes with Gowdy-symmetry on T3. Archive for Rational Mechanics and Analysis, 201(3), 841-870. Retrieved from http://arxiv.org/abs/1004.0427.

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Item Permalink: http://hdl.handle.net/11858/00-001M-0000-000F-45EA-3 Version Permalink: http://hdl.handle.net/11858/00-001M-0000-0024-8056-7
Genre: Journal Article

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 Creators:
LeFloch, Philippe G., Author
Rendall, Alan D.1, Author              
Affiliations:
1Geometric Analysis and Gravitation, AEI-Golm, MPI for Gravitational Physics, Max Planck Society, Golm, DE, ou_24012              

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Free keywords: General Relativity and Quantum Cosmology, gr-qc,Mathematics, Analysis of PDEs, math.AP,Mathematics, Differential Geometry, math.DG,
 Abstract: We investigate the initial value problem for the Einstein-Euler equations of general relativity under the assumption of Gowdy symmetry on T3, and we construct matter spacetimes with low regularity. These spacetimes admit, both, impulsive gravitational waves in the metric (for instance, Dirac mass curvature singularities propagating at light speed) and shock waves in the fluid (i.e., discontinuities propagating at about the sound speed). Given an initial data set, we establish the existence of a future development and we provide a global foliation in terms of a globally and geometrically defined time-function, closely related to the area of the orbits of the symmetry group. The main difficulty lies in the low regularity assumed on the initial data set which requires a distributional formulation of the Einstein-Euler equations.

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 Dates: 2010-04-032011-05-172011
 Publication Status: Published in print
 Pages: 24 pages
 Publishing info: -
 Table of Contents: -
 Rev. Method: -
 Identifiers: arXiv: 1004.0427
URI: http://arxiv.org/abs/1004.0427
 Degree: -

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Title: Archive for Rational Mechanics and Analysis
Source Genre: Journal
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Publ. Info: Berlin : Springer-Verlag
Pages: - Volume / Issue: 201 (3) Sequence Number: - Start / End Page: 841 - 870 Identifier: ISSN: 0003-9527
CoNE: /journals/resource/954925381021