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The Einstein-Klein-Gordon coupled system global stability of the Minkowski solution Alexandru D. Ionescu and Benoît Pausader.

By: Ionescu, Alexandru Dan, 1973-Contributor(s): Pausader, Benoît, 1982-Material type: TextTextSeries: Annals of mathematics studies ; number 213Publisher: Princeton Princeton University Press, [2022]Description: 1 online resourceISBN: 0691233039; 9780691233031Subject(s): Klein-Gordon equation | General relativity (Physics) | Quantum field theory | Mathematical physics | Équation de Klein-Gordon | Relativité générale (Physique) | Théorie quantique des champs | Physique mathématique | SCIENCE / Physics / Mathematical & Computational | MATHEMATICS / General | General relativity (Physics) | Klein-Gordon equation | Mathematical physics | Quantum field theoryGenre/Form: EBSCO eBooks Additional physical formats: Print version:: Einstein-Klein-Gordon coupled systemDDC classification: 530.11 LOC classification: QC174.26.W28Other classification: SCI040000 | MAT000000 Online resources: Click here to access online
Contents:
The main construction and outline of the proof -- Preliminary estimates -- The nonlinearities N^h/[infinity][beta] and n^[psi] -- Improved energy estimates -- Improved profile bounds -- The main theorems.
Summary: "This monograph presents a significant new result in general relativity. In particular, it provides a proof related to the Einstein-Klein-Gordon equation, a fundamental equation in mathematical physics that couples the Einstein equation of general relativity with a matter field described by the Klein-Gordon equation. The book begins with an introduction and history of the subject, proceeds to prove several auxiliary lemmas, and culminates in the central proof. This book represents a significant advance in mathematical physics, and provides the most cutting-edge treatment of the Einstein-Klein-Gordon equation to date"-- Provided by publisher.
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Includes bibliographical references and index.

The main construction and outline of the proof -- Preliminary estimates -- The nonlinearities N^h/[infinity][beta] and n^[psi] -- Improved energy estimates -- Improved profile bounds -- The main theorems.

"This monograph presents a significant new result in general relativity. In particular, it provides a proof related to the Einstein-Klein-Gordon equation, a fundamental equation in mathematical physics that couples the Einstein equation of general relativity with a matter field described by the Klein-Gordon equation. The book begins with an introduction and history of the subject, proceeds to prove several auxiliary lemmas, and culminates in the central proof. This book represents a significant advance in mathematical physics, and provides the most cutting-edge treatment of the Einstein-Klein-Gordon equation to date"-- Provided by publisher.

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