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math.AP2024
Linear and nonlinear phase mixing for the gravitational Vlasov-Poisson system under an external Kepler potential
Sanchit Chaturvedi, Jonathan Luk
In Newtonian gravity, a self-gravitating collisionless gas around a massive object such as a star or a planet is modeled via the Vlasov--Poisson system with an external Kepler pote…
gr-qc2024
High-frequency solutions to the Einstein equations
Cécile Huneau, Jonathan Luk
We review recent mathematical results concerning the high-frequency solutions to the Einstein vacuum equations and the limits of these solutions. In particular, we focus on two con…
gr-qc2024★ 2 cited
Burnett's conjecture in generalized wave coordinates
Cécile Huneau, Jonathan Luk
We prove Burnett's conjecture in general relativity when the metrics satisfy a generalized wave coordinate condition, i.e., suppose is a sequence of Lorentzi…