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Numerical relativity has emerged as the key tool to model
gravitational waves - recently detected for the first time - that
are emitted when black holes or neutron stars collide. This book
provides a pedagogical, accessible, and concise introduction to the
subject. Relying heavily on analogies with Newtonian gravity,
scalar fields and electromagnetic fields, it introduces key
concepts of numerical relativity in a context familiar to readers
without prior expertise in general relativity. Readers can explore
these concepts by working through numerous exercises, and can see
them 'in action' by experimenting with the accompanying Python
sample codes, and so develop familiarity with many techniques
commonly employed by publicly available numerical relativity codes.
This is an attractive, student-friendly resource for short courses
on numerical relativity, as well as providing supplementary reading
for courses on general relativity and computational physics.
Aimed at students and researchers entering the field, this
pedagogical introduction to numerical relativity will also interest
scientists seeking a broad survey of its challenges and
achievements. Assuming only a basic knowledge of classical general
relativity, the book develops the mathematical formalism from first
principles, and then highlights some of the pioneering simulations
involving black holes and neutron stars, gravitational collapse and
gravitational waves. The book contains 300 exercises to help
readers master new material as it is presented. Numerous
illustrations, many in color, assist in visualizing new geometric
concepts and highlighting the results of computer simulations.
Summary boxes encapsulate some of the most important results for
quick reference. Applications covered include calculations of
coalescing binary black holes and binary neutron stars, rotating
stars, colliding star clusters, gravitational and magnetorotational
collapse, critical phenomena, the generation of gravitational
waves, and other topics of current physical and astrophysical
significance.
Numerical relativity has emerged as the key tool to model
gravitational waves - recently detected for the first time - that
are emitted when black holes or neutron stars collide. This book
provides a pedagogical, accessible, and concise introduction to the
subject. Relying heavily on analogies with Newtonian gravity,
scalar fields and electromagnetic fields, it introduces key
concepts of numerical relativity in a context familiar to readers
without prior expertise in general relativity. Readers can explore
these concepts by working through numerous exercises, and can see
them 'in action' by experimenting with the accompanying Python
sample codes, and so develop familiarity with many techniques
commonly employed by publicly available numerical relativity codes.
This is an attractive, student-friendly resource for short courses
on numerical relativity, as well as providing supplementary reading
for courses on general relativity and computational physics.
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