Arthur Touati

most citedHigh-frequency solutions to the constraint equations

8 citations · 14 across the 4 of their papers we have counts for

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gr-qc2022★ 8 cited

High-frequency solutions to the constraint equations

Arthur Touati

We construct high-frequency initial data for the Einstein vacuum equations in dimension 3+1 by solving the constraint equations on $R^{3}$ . Our family of solutions $(\bar{g}…

gr-qc2022★ 6 cited

Geometric optics approximation for the Einstein vacuum equations

Arthur Touati

We show the stability of the geometric optics approximation in general relativity by constructing a family $(g_{λ})_{λ \in (0, 1]}$ of high-frequency metrics solutions to the Einstein v…