Elements of Numerical Relativity

Carles Bona, Carlos Palenzuela-Luque (auth.)3540257799, 9783540257790

Spurred by the current development of numerous large-scale projects for detecting gravitational radiation, with the aim to open a completely new window to the observable Universe, numerical relativity has become a major field of research over the past years. Indeed, numerical relativity is the standard approach when studying potential sources of gravitational waves, where strong fields and relativistic velocities are part of any physical scenario. This book can be considered a primer for both graduate students and non-specialist researchers wishing to enter the field. Starting from the most basic insights and aspects of numerical relativity, Elements of Numerical Relativity develops coherent guidelines for the reliable and convenient selection of each of the following key aspects: evolution formalism, gauge, initial and boundary conditions as well as various numerical algorithms. The tests and applications proposed in this book can be performed on a standard PC.

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Table of contents :
The Four–Dimensional Spacetime….Pages 1-17
The Evolution Formalism….Pages 19-39
Free Evolution….Pages 41-65
First Order Hyperbolic Systems….Pages 67-92
Boundary Conditions….Pages 93-118
Black Hole Simulations….Pages 119-143
References….Pages 145-147