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arXiv · 1207.5131

A non-existence result for a generalization of the equations of the conformal method in general relativity

Mattias Dahl·Romain Gicquaud·Emmanuel Humbert
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Abstract

The constraint equations of general relativity can in many cases be solved by the conformal method. We show that a slight modification of the equations of the conformal method admits no solution for a broad range of parameters. This suggests that the question of existence or non-existence of solutions to the original equations is more subtle than could perhaps be expected.

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Mattias Dahl, Romain Gicquaud, Emmanuel Humbert. 2012-10-31. A non-existence result for a generalization of the equations of the conformal method in general relativity. https://doi.org/10.1088/0264-9381%2F30%2F7%2F075004

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