Introduction to 3+1 Numerical Relativity (Anglais) Broché – 7 septembre 2012
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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
Overall, the book is an excellent place to start Numerical Gravity
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.