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

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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https://hal.archives-ouvertes.fr/hal-00783621
Contributor : Romain Gicquaud <>
Submitted on : Friday, February 1, 2013 - 1:27:53 PM
Last modification on : Thursday, March 5, 2020 - 5:33:11 PM

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  • HAL Id : hal-00783621, version 1
  • ARXIV : 1207.5131

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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, IOP Publishing, 2013. ⟨hal-00783621⟩

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