by Miguel Alcubierre, Oxford University Press Series: International Series of Monographs on Physics, Volume 140. Hardback ISBN 9780199205677 £55 ($110).
An introduction to the modern field of 3+1 numerical relativity, this book has been written so as to be as self-contained as possible, assuming only a basic knowledge of special relativity. Starting from a brief introduction to general relativity, it discusses the different concepts and tools necessary for the fully consistent numerical simulation of relativistic astrophysical systems, with strong and dynamical gravitational fields. The topics discussed in detail include: hyperbolic reductions of the field equations, gauge conditions, the evolution of black hole space-times, relativistic hydrodynamics, gravitational wave extraction and numerical methods. There is also a final chapter with examples of some simple numerical space–times. The book is for graduates and researchers in physics and astrophysics.