Elements of Numerical Relativity and Relativistic Hydrodynamics

From Einstein' s Equations to Astrophysical Simulations

  • Carles Bona
  • Carlos Palenzuela-Luque
  • Carles Bona-Casas

Part of the Lecture Notes in Physics book series (LNP, volume 783)

Table of contents

  1. Front Matter
    Pages i-xiii
  2. Carles Bona, Carles Bona-Casas, Carlos Palenzuela-Luque
    Pages 1-24
  3. Carles Bona, Carles Bona-Casas, Carlos Palenzuela-Luque
    Pages 25-48
  4. Carles Bona, Carles Bona-Casas, Carlos Palenzuela-Luque
    Pages 49-77
  5. Carles Bona, Carles Bona-Casas, Carlos Palenzuela-Luque
    Pages 79-108
  6. Carles Bona, Carles Bona-Casas, Carlos Palenzuela-Luque
    Pages 109-142
  7. Carles Bona, Carles Bona-Casas, Carlos Palenzuela-Luque
    Pages 143-170
  8. Carles Bona, Carles Bona-Casas, Carlos Palenzuela-Luque
    Pages 171-209
  9. Back Matter
    Pages 1-4

About this book

Introduction

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 1st edition

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

Keywords

EFE Gravity RMS Relativity gravitational waves harmonic formalism matter spacetimes numerical relativity relativistic hydrodynamics

Authors and affiliations

  • Carles Bona
    • 1
  • Carlos Palenzuela-Luque
    • 2
  • Carles Bona-Casas
    • 3
  1. 1.Fac. CienciasUniversidad Islas BalearesPalma de MallorcaSpain
  2. 2.Center for Computation & TechnologyLouisiana State UniversityBaton RougeU.S.A.
  3. 3.Depto. FisicaUniversitat de les Illes BalearsPalma De MallorcaSpain

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-642-01164-1
  • Copyright Information Springer-Verlag Berlin Heidelberg 2009
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Physics and Astronomy
  • Print ISBN 978-3-642-01163-4
  • Online ISBN 978-3-642-01164-1
  • Series Print ISSN 0075-8450
  • Series Online ISSN 1616-6361
  • About this book