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A class of solutions to the Einstein equations with AVTD behavior in generalized wave gauges
KTH, School of Engineering Sciences (SCI), Mathematics (Dept.).
2017 (English)In: Journal of Geometry and Physics, ISSN 0393-0440, E-ISSN 1879-1662, Vol. 121, p. 42-71Article in journal (Refereed) Published
Abstract [en]

We establish the existence of smooth vacuum Gowdy solutions, which are asymptotically velocity term dominated (AVTD) and have T3-spatial topology, in an infinite dimensional family of generalized wave gauges. These results show that the AVTD property, which has so far been known to hold for solutions in areal coordinates only, is stable to perturbations of the coordinate systems. Our proof is based on an analysis of the singular initial value problem for the Einstein vacuum equations in the generalized wave gauge formalism, and provides a framework which we anticipate to be useful for more general spacetimes.

Place, publisher, year, edition, pages
Elsevier, 2017. Vol. 121, p. 42-71
Keyword [en]
Einstein equation, Fuchsian analysis, Gowdy spacetime, Wave gauge
National Category
Mathematics
Identifiers
URN: urn:nbn:se:kth:diva-212209DOI: 10.1016/j.geomphys.2017.06.005Scopus ID: 2-s2.0-85026517209OAI: oai:DiVA.org:kth-212209DiVA, id: diva2:1134655
Note

QC 20170821

Available from: 2017-08-21 Created: 2017-08-21 Last updated: 2017-08-21Bibliographically approved

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