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 …

Many numerical codes now under development to solve Einstein's equations of general
relativity in (3+ 1)-dimensional spacetimes employ the standard ADM form of the field …

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 …

In 3+ 1 numerical simulations of dynamic black-hole spacetimes, it is useful to be able to find
the apparent horizon (s)(AH) in each slice of a time evolution. A number of AH finders are …

We compare GW150914 directly to simulations of coalescing binary black holes in full
general relativity, including several performed specifically to reproduce this event. Our …

A major focus of much current research in gravitation theory is on understanding how
radiation reaction drives the evolution of a binary system, particularly in the extreme mass …

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

I review the development of numerical evolution codes for general relativity based upon the
characteristic initial-value problem. Progress in characteristic evolution is traced from the …

The first decade of the new millennium should see the first direct detections of gravitational
waves. This will be a milestone or fundamental physics and it will open the new …