Construction of high-frequency spacetimes

The HADES seminar on Tuesday, March 8 will be at 3:30 pm in Room 740.

Speaker: Arthur Touati

Abstract: In this talk, I will present recent work on high-frequency solutions
to the Einstein vacuum equations. From a physical point of view, these solutions
model high-frequency gravitational waves and describe how waves travel on a fixed
background metric. There are also interested when studying the Burnett conjecture,
which addresses the lack of compactness of the family of vacuum spacetimes. These
high-frequency spacetimes are singular and require to work under the regime of
well-posedness for the Einstein vacuum equations. I will review the literature on
the subject and then show how one can construct them in generalised wave gauge
by defining high-frequency ansatz.

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