Shock Wave Interactions in General Relativity
A Locally Inertial Glimm Scheme for Spherically Symmetric Spacetimes (Springer Monographs in Mathematics)
This monograph presents a self contained mathematical treatment of the initial value problem for shock wave solutions of the Einstein equations in General Relativity. The first two chapters provide background for the introduction of a locally intertial Glimm Scheme, a non-dissipative numerical scheme for approximating shock wave solutions of the Einstein equations in spherically symmetric spacetimes. What follows is a careful analysis of this scheme providing a proof of the existence of (shock wave) solutions of the spherically symmetric Einstein equations for a perfect fluid, starting from initial density and velocity profiles that are only locally of bounded total variation. The book covers the initial value problems for Einstein's gravitational field equations with fluid sources and shock wave initial data. It has a clearly outlined goal: proving a certain local existence theorem. Concluding remarks are added and commentary is provided throughout. The book will be useful to graduate students and researchers in mathematics and physics.
Beyond its central premise, the book can be read through the connected lenses of Nonfiction. Those themes offer useful points of attention as the characters, ideas, or world develop, especially where the book complicates the expectations of its primary category.
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What the reading experience may hold
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Nonfiction
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Balanced tone · Urgent pace
Works well for a focused weekend or a few concentrated sittings.
A good fit if…
Readers who want a thoughtful experience and enjoy noticing the connections beneath a book’s surface story.
This book's DNA
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- ISBN-13
- 978-0-3873-5073-8
- Language
- English
- Edition record
- OL7445630M
A more thoughtful way into this book
This guide uses the edition details and category signals above to help you choose deliberately. It does not replace the author's work or a full review.
Works well for a focused weekend or a few concentrated sittings.
Begin with its place in Nonfiction, then notice where the book resists that label.
Read for connection, not completion.
Mark one passage that sharpens the book's central concern and one that complicates it. That tension often reveals more than a quick summary.
Three questions to carry with you
- Whose perspective organizes the story, and whose perspective remains outside it?
- Which sources or lived experiences carry the author’s central argument?
- How does the book change the way you understand its larger subject?
Editorial framework by Wesley Bryan, BookenDeX Founder and Editor.
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