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Article Dans Une Revue Classical and Quantum Gravity Année : 2013

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

Résumé

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.

Dates et versions

hal-00783621 , version 1 (01-02-2013)

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Mattias Dahl, Romain Gicquaud, Emmanuel Humbert. A non-existence result for a generalization of the equations of the conformal method in general relativity. Classical and Quantum Gravity, 2013, 30 (7), ⟨10.1088/0264-9381/30/7/075004⟩. ⟨hal-00783621⟩
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