Geometric optics approximation for the Einstein vacuum equations
نویسندگان
چکیده
We present recent works on the construction of high-frequency solutions to Einstein vacuum equations in general relativity, based [Tou22b, Tou23]. In these articles, author shows existence a family spacetimes (g λ ) λ∈(0,1] generalised wave gauge oscillating at frequency -1 and defined by geometric optics ansatz. this survey, we first review Cauchy theory for gauge, Burnett’s conjecture relativity. This will motivate our main result, which provide sketch proof high-lighting both quasi-linear semi-linear challenges.
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ژورنال
عنوان ژورنال: Séminaire Laurent Schwarz
سال: 2023
ISSN: ['2266-0607']
DOI: https://doi.org/10.5802/slsedp.159