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- W4367394005 abstract "We construct high-frequency initial data for the Einstein vacuum equations in dimension 3+1 by solving the constraint equations on $mathbb{R}^3$. Our family of solutions $(bar{g}_lambda,K_lambda)_{lambdain(0,1]}$ is defined through a high-frequency expansion similar to the geometric optics approach and is close in a particular sense to the data of a null dust. In order to solve the constraint equations, we use their conformal formulation and the main challenge of our proof is to adapt this method in the high-frequency context. The main application of this article is our companion article cite{Touati2022a} where we construct high-frequency gravitational waves in generalised wave gauge." @default.
- W4367394005 created "2023-04-30" @default.
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- W4367394005 date "2023-04-29" @default.
- W4367394005 modified "2023-09-23" @default.
- W4367394005 title "High-Frequency Solutions to the Constraint Equations" @default.
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- W4367394005 doi "https://doi.org/10.1007/s00220-023-04715-8" @default.
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