4 papers · 1 filter
A new approach towards the construction of initial data in general relativity with positive Yamabe invariant and arbitrary mean curvature
Armand Coudray, Romain Gicquaud
This paper revisits the classical construction of initial data using the conformal method, as originally proposed by Holst, Nagy, and Tsogtgerel and later refined by Maxwell. We de…
Conformal scattering of the wave equation in the Vaidya spacetime
Armand Coudray
We construct the conformal scattering operator for the scalar wave equation on the Vaidya spacetime using vector field methods. The spacetime we consider is Schwarzschild, near bot…
Peeling-off behaviour of the wave equation on the Vaidya spacetime
Armand Coudray
We study the peeling for the wave equation on the Vaidya spacetime following the approach developed by Mason and Nicolas in Mason-Nicolas 2009. The idea is to encode the regularity…
Geometry of Vaidya spacetimes
Armand Coudray, Jean-Philippe Nicolas
We investigate the geometrical structure of Vaidya's spacetime in the case of a white hole with decreasing mass, stabilising to a black hole in finite or infinite time or evaporati…