Steven R. Brandt

TL;DR: In this article, the authors considered the problem of finding initial data for several black holes in vacuum with arbitrary momenta and spins, and proposed a novel approach which is significantly simpler than the conventional method based on throats and conformal imaging.

TL;DR: In this article, the authors present a new technique for the numerical simulation of axisymmetric systems, which avoids the coordinate singularities which often arise when cylindrical or polar-spherical coordinate finite difference grids are used, particularly in simulating tensor partial differential equations like those of 3+1 numerical relativity.

TL;DR: In this article, a 3-dimensional Cartesian (x,y,z) coordinate grid is used to simulate axisymmetric systems about the z axis, which avoids the coordinate singularities which often arise when cylindrical or polar-spherical coordinate finite difference grids are used, particularly in simulating tensor partial differential equations like those of 3+1 numerical relativity.

TL;DR: In this article, the first successful demonstration of a black hole moving freely through a three-dimensional computational grid via a Cauchy evolution was reported, with a hole moving near 6M at 0.1c during a total evolution of duration near 60M.

TL;DR: A systematic study of important properties of these data sets, such as the size and shape of their apparent horizons, and the maximum amount of radiation that can leave the system during evolution.