Introduction to 3+1 Numerical Relativity (International Series of Monographs on Physics Book 140) by Miguel Alcubierre (PDF)

Description

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 topicsdiscussed 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 somesimple numerical space-times. The book is aimed at both graduate students and researchers in physics and astrophysics, and at those interested in relativistic astrophysics.

User’s Reviews

Reviews from Amazon users which were colected at the time this book was published on the website:

⭐This is one of the best books on numerical relativity, but the quality of the printing in this edition is terrible. The text is shrunk to a small fraction of the page (there is a picture in another review), the figures are very small. I would have expected something better given the price, so I returned it.

⭐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 see2. Straightforward to show3. Not hard to findThe 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.

⭐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!

⭐The book is not well printed. The size of the printed pages is by far smaller than the size of the book. I would expect that paying 10 pounds for it, but not 39. I have been trying to contact the seller but I don’t see any email or contact details.

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