Simulations of gravitational collapse in null coordinates IV: evolving through the event horizon, with an application to the spherical charged scalar field

Carsten Gundlach, Laetitia Martel

We consider line elements of the form $-2Gdu(dx+Bdu)+R^2(...)$, where $(...)$ does not contain $dx$. Surfaces of constant $u$ are then null surfaces, and their affinely par…