Introduction to 3+1 Numerical Relativity (International Series of Monographs on Physics)

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Product 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 topics discussed in detail are the following; the initial data problem, hyperbolic reductions of the field equations, guage 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.

Introduction to 3+1 Numerical Relativity (International Series of Monographs on Physics) Review

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
reading.

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
successfully.

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
studies.

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