Over the past three decades, black holes have played an important role in quantum gravity,
mathematical physics, numerical relativity and gravitational wave phenomenology …

Understanding the predictions of general relativity for the dynamical interactions of two black
holes has been a long-standing unsolved problem in theoretical physics. Black-hole …

We present a new algorithm for evolving orbiting black-hole binaries that does not require
excision or a corotating shift. Our algorithm is based on a novel technique to handle the …

This book introduces the modern field of 3+ 1 numerical relativity. The book has been written
in a way as to be as self-contained as possible, and only assumes a basic knowledge of …

Numerical relativity has faced the problem that standard 3+ 1 simulations of black hole
spacetimes without singularity excision and with singularity avoiding lapse and vanishing …

These lecture notes provide some introduction to the 3+ 1 formalism of general relativity,
which is the foundation of most modern numerical relativity. The text is rather self-contained …

When you think about how far and fast computer science has progressed in recent years, it's
not hard to conclude that a seven-year old handbook may fall a little short of the kind of …

We present a new three-dimensional fully general-relativistic hydrodynamics code using
high-resolution shock-capturing techniques and a conformal traceless formulation of the …

Computer simulations are enabling researchers to investigate systems which are extremely
difficult to handle analytically. In the particular case of general relativity, numerical models …

We present numerical simulations of binary black hole systems which for the first time last for
about one orbital period for close but still separate black holes as indicated by the absence …