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A class of solutions to the Einstein equations with AVTD behavior in generalized wave gauges

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arxiv 1602.03018 v2 pith:FPJOBFK6 submitted 2016-02-09 gr-qc math.AP

A class of solutions to the Einstein equations with AVTD behavior in generalized wave gauges

Ellery Ames , Florian Beyer , James Isenberg , Philippe G. LeFloch This is my paper
classification gr-qc math.AP
keywords avtdgeneralizedsolutionswaveeinsteinequationsgaugegauges
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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 is known to hold for solutions in areal coordinates, is stable to perturbations with respect to the gauge source functions. 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.

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