We prove the non-linear asymptotic stability of the Schwarzschild family as solutions to the
Einstein vacuum equations in the exterior of the black hole region: general vacuum initial …

This work offers a didactical introduction to the calculations and geometrical properties of a
static, spherically symmetric spacetime foliated by hyperboloidal time surfaces. We discuss …

As big data and artificial intelligence technologies are being increasingly applied in
emergency management activities, effective information resource management has become …

We prove Price's law with an explicit leading order term for solutions ϕ (t, x) of the scalar
wave equation on a class of stationary asymptotically flat (3+ 1)-dimensional spacetimes …

We introduce a novel framework for the analysis of linear wave equations on nonstationary
asymptotically flat spacetimes, under the assumptions of mode stability and absence of zero …

We introduce a general method for understanding the late time tail for solutions to wave
equations on asymptotically flat spacetimes with odd space dimensions. In particular, for a …

This paper initiates a series of works dedicated to the rigorous study of the precise structure
of gravitational radiation near infinity. We begin with a brief review of an argument due to …

In this work, we derive the global sharp decay, as both a lower and an upper bounds, for the
spin±s components, which are solutions to the Teukolsky equation, in the black hole exterior …

We obtain estimates on the rate of decay of a solution to the wave equation on a stationary
spacetime that tends to Minkowski space at a rate $ O (\lvert x\rvert^{-\kappa}), $$\kappa\in …

We study the linear stability problem to gravitational and electromagnetic perturbations of
the extremal,| Q|= M, Reissner–Nordström spacetime, as a solution to the Einstein–Maxwell …