asymptotically flat spacetimes 1Cauchy problem 1short-pulse method 1spacelike initial data 1trapped surfaces 1
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gr-qc2025
Solving the constraint equation for general free data
Xuantao Chen, Sergiu Klainerman
We revisit the problem of solving the Einstein constraint equations in vacuum by a new method, which allows us to prescribe four scalar quantities, representing the full dynamical…
math.AP2025
Decay estimates of wave equations in un-isotropic media
Sergiu Klainerman, Xuecheng Wang
We prove decay estimates for solutions to non-isotropic linear systems of wave equations. The defining feature of these estimates is that they depend only on the commutation proper…