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Introduction to 3+1 Numerical Relativity (Anglais) Broché – 7 septembre 2012

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Descriptions du produit

Revue de presse

An excellent book, and a good starting point for those making an effort to enter the field. (Mathematical Reviews)

Présentation de l'éditeur

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 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. Among the topics discussed in detail are the following: the initial data problem, 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 aimed at both graduate students and researchers in physics and astrophysics, and at those interested in relativistic astrophysics.

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Dans ce livre

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Couverture | Copyright | Table des matières | Extrait | Index | Quatrième de couverture
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Commentaires client les plus utiles sur (beta) HASH(0x928245ac) étoiles sur 5 3 commentaires
11 internautes sur 11 ont trouvé ce commentaire utile 
HASH(0x926790d8) étoiles sur 5 nice! 28 janvier 2009
Par parmenides - Publié sur
Format: Relié Achat vérifié
This is an excellent graduate level textbook on numerical (classical) gravity. Its main features are clarity and pedagogy.

The author starts with a review of general relativity. Although he says
this is not intended to be a substitute for a full course on the subject,
I found that in this chapter his exposition is more clear, motivated
and pedagogical than many other more specifically targeted books I know.
His text is structured, from simpler to more advanced concepts and
has a smooth transition from geometry to physics. Definitely recommended

Subsequently, he commits himself to 3+1 formalism which is the most practical choice
once one decides to abandon the natural, timeless formulation of the theory. He covers,
all important points: initial data, gauge conditions, particle systems
(black holes) and continuum systems (fluids). The author managed to
condense all practically needed knowledge in a relatively small book quite

Extra-information is also available on numerical analysis of conservation
laws in the framework of powerful high resolution schemes that where originally
developed in non-relativistic high speed flow and found nice applications in
gravitational physics.

Overall, the book is an excellent place to start Numerical Gravity
4 internautes sur 6 ont trouvé ce commentaire utile 
Par frank - Publié sur
Format: Broché
I'm only an undergrad, who has learned some GR from various books. The review of GR in this book is fantastic! Much clearer than many other books, I don't like his notation for the ADM 3+1 Formalism, but he also explains that very clear and concise. I haven't got past chapter 2 yet, but so far its great!
1 internautes sur 2 ont trouvé ce commentaire utile 
HASH(0x9265fca8) étoiles sur 5 Incredibly frustrating book 11 février 2015
Par Nate - Publié sur
Format: Broché
One can easily show that this book assumes that all steps are trivial and easy to show and easily assumes that the reader will be satisfied with an encyclopedic listing of equations rather than derivations. It's not hard to find that this book needs to be supplemented with various other books if you aren't willing to just take the authors word for every equation.

It's straightforward to see that this book would be a lot better if the author would realize that these derivations are none of the below:
1. Easy to see
2. Straightforward to show
3. Not hard to find

The author does a decent job at actually listing out the equations of numerical relativity in a logical enough order, but I'm not sure I saw a single derivation in this entire book.
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