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A class of solutions to the conformal constraint equations on compact manifolds with apparent horizon boundary conditions

Abstract : This article is dedicated to solving the Einstein constraint equations with apparent horizon boundaries and freely specified mean curvature. The main novelty is that we study the conformal constraint equations assuming only low regularity.
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https://hal.archives-ouvertes.fr/hal-03837049
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Submitted on : Wednesday, November 2, 2022 - 4:13:54 PM
Last modification on : Thursday, November 3, 2022 - 3:34:05 AM

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Jean-David Pailleron. A class of solutions to the conformal constraint equations on compact manifolds with apparent horizon boundary conditions. 2022. ⟨hal-03837049⟩

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