XII BLACK HOLES WORKSHOP

Guimarães 19-20^th December 2019

Hyperboloidal slices are smooth spacelike slices that reach future null infinity, the location in spacetime where light rays arrive and thus where radiation and global properties of spacetimes are unambiguously defined. They provide a useful slicing for solving the Einstein equations as initial value formulation (here as 3+1 decomposition) for numerical relativity simulations. Here I will focus on hyperboloidal slices including a black hole that serve as initial data for evolutions in a spherically symmetric code. The simplest suitable option are constant-mean-curvature slices, which I will describe for the Schwarzschild and Reissner-Nordström cases. However, they are not a stable stationary solution for the hyperbolic gauge conditions of interest in this implementation. Current progress towards finding these stationary hyperboloidal slices will also be reported on.

Oral presentation: yes. Poster: no.