Elements of Numerical Relativity and Relativistic Hydrodynamics: From Einstein' s Equations to Astrophysical Simulations

ISBN-13: 9783642011634 / Angielski / Twarda / 2009 / 214 str.

Carles Bona;Carlos Palenzuela-Luque;Carles Bona-Casas

Opis

Many large-scale projects for detecting gravitational radiation are currently being developed, all with the aim of opening a new window onto the observable Universe. As a result, numerical relativity has recently become a major field of research, and Elements of Numerical Relativity and Relativistic Hydrodynamics is a valuable primer for both graduate students and non-specialist researchers wishing to enter the field. A revised and significantly enlarged edition of LNP 673 Elements of Numerical Relativity, this book starts with the most basic insights and aspects of numerical relativity before it develops coherent guidelines for the reliable and convenient selection of each of the following key aspects: evolution formalism; gauge, initial, and boundary conditions; and various numerical algorithms. And in addition to many revisions, it includes new, convenient damping terms for numerical implementations, a presentation of the recently-developed harmonic formalism, and an extensive, new chapter on matter space-times, containing a thorough introduction to relativistic hydrodynamics. While proper reference is given to advanced applications requiring large computational resources, most tests and applications in this book can be performed on a standard PC.

Recenzje

From the book reviews:

"The book is configured as a set of lecture notes - an accessible and pedagogical intro to the subject. It can serve as a starting point for advanced graduate seminars. ... This book is a very accessible and a good first exposure to the 'big picture' of Numerical Relativity. ... It is best used as a reference guide to other resources in the field and a handy overview of the major techniques and research topics." (Bojan Tunguz, tunguzreview.com, December, 2014)

"This is an extended and improved version of the first edition ... . It is well written and informative. ... the book can be a helpful starting point for those interested in the field of numerical relativity." (Bela Szilágyi, Mathematical Reviews, Issue 2012 k)

Spis treści

The 4D Spacetime.- The Evolution Formalism.- Free Evolution.- First-Order Hyperbolic Systems.- Numerical Methods.- Black Hole Simulations.- Matter Spacetimes.

Blurb

Many large-scale projects for detecting gravitational radiation are currently being developed, all with the aim of opening a new window onto the observable Universe. As a result, numerical relativity has recently become a major field of research, and Elements of Numerical Relativity and Relativistic Hydrodynamics is a valuable primer for both graduate students and non-specialist researchers wishing to enter the field.

A revised and significantly enlarged edition of LNP 673 Elements of Numerical Relativity, this book starts with the most basic insights and aspects of numerical relativity before it develops coherent guidelines for the reliable and convenient selection of each of the following key aspects: evolution formalism; gauge, initial, and boundary conditions; and various numerical algorithms. And in addition to many revisions, it includes new, convenient damping terms for numerical implementations, a presentation of the recently-developed harmonic formalism, and an extensive, new chapter on matter space-times,  containing a thorough introduction to relativistic hydrodynamics.

While proper reference is given to advanced applications requiring large computational resources, most tests and applications in this book can be performed on a standard PC.

From the Reviews of the 1^st edition

I am glad to recommend this book to anyone interested in an introduction into this field." Bela Szilagyi, (Mathematical Reviews, Issue 2007 b)