A non-existence result for a generalization of the equations of the conformal method in general relativity
arXiv:1207.5131 · doi:10.1088/0264-9381/30/7/075004
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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