Abstract We describe the Einstein Toolkit, a community-driven, freely accessible
computational infrastructure intended for use in numerical relativity, relativistic astrophysics …

We study the stability of three-dimensional numerical evolutions of the Einstein equations,
comparing the standard ADM formulation to variations on a family of formulations that …

We present a new technique for the numerical simulation of axisymmetric systems. This
technique avoids the coordinate singularities which often arise when cylindrical or polar …

The standard approach to the numerical evolution of black hole data using the ADM
formulation with maximal slicing and vanishing shift is extended to non-symmetric black hole …

We study the stability properties of the standard ADM formulation of the 3+ 1 evolution
equations of general relativity through linear perturbations of flat spacetime. We focus …

In recent years, many different numerical evolution schemes for Einstein's equations have
been proposed to address stability and accuracy problems that have plagued the numerical …

We demonstrate that evolutions of three-dimensional, strongly non-linear gravitational
waves can be followed in numerical relativity, hence allowing many interesting studies of …

Emission of strong gravitational waves is expected in the last three milliseconds of
coalescence of binary neutron stars or black holes. In this phase, analytic or semi-analytic …

In order to account for the observable Universe, any comprehensive theory or model of
cosmology must draw from many disciplines of physics, including gauge theories of strong …

A numerical study of the Einstein field equations, based on the 3+ 1 foliation of the
spacetime, is presented. A pseudo-spectral technique has been employed for simulations in …