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

Format:

Book

Author/Creator:

Ionescu, Alexandru Dan, 1973- author.

Pausader, Benoît, 1982- author.

Series:

Annals of mathematics studies ; no. 213.

Annals of mathematics studies ; number 213

Language:

English

Subjects (All):

Klein-Gordon equation.

General relativity (Physics).

Quantum field theory.

Mathematical physics.

Physical Description:

ix, 296 pages : illustrations ; 25 cm.

Place of Publication:

Princeton : Princeton University Press, 2022.

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.

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.

Notes:

Includes bibliographical references (pages 291-296) and index.

Other Format:

Online version: Ionescu, Alexandru Dan., 1973- Einstein-Klein-Gordon coupled system

ISBN:

9780691233055

0691233055

9780691233048

0691233047

OCLC:

1266360309