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The Einstein-Klein-Gordon Coupled System: Global Stability of the Minkowski Solution: (AMS-213) (Annals of Mathematics Studies, 213) free ebook download

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Author(s):	Alexandru D. Ionescu

Date:	2024	Format:	pdf	Language:	English	ISBN/ASIN:	0691233055
Pages:	308	OCR:		Quality:		ISBN13:
Uploader:	risotor	Upload Date:	1/23/2024 1:55:54 AM

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0691233055 pdf
A definitive proof of global nonlinear stability of Minkowski space-time as a solution of the Einstein-Klein-Gordon equations

This book provides a definitive proof of global nonlinear stability of Minkowski space-time as a solution of the Einstein-Klein-Gordon equations of general relativity. Along the way, a novel robust analytical framework is developed, which extends to more general matter models. Alexandru Ionescu and Benot Pausader prove global regularity at an appropriate level of generality of the initial data, and then prove several important asymptotic properties of the resulting space-time, such as future geodesic completeness, peeling estimates of the Riemann curvature tensor, conservation laws for the ADM tensor, and Bondi energy identities and inequalities.

The book is self-contained, providing complete proofs and precise statements, which develop a refined theory for solutions of quasilinear Klein-Gordon and wave equations, including novel linear and bilinear estimates. Only mild decay assumptions are made on the scalar field and the initial metric is allowed to have nonisotropic decay consistent with the positive mass theorem. The framework incorporates analysis both in physical and Fourier space, and is compatible with previous results on other physical models such as water waves and plasma physics.
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Tags: AMS-213 Annals Coupled Einstein-Klein-Gordon Global Mathematics Minkowski Solution Stability System

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The Einstein-Klein-Gordon Coupled System: Global Stability of the Minkowski Solution: (AMS-213) (Annals of Mathematics Studies, 213) free ebook download

Category: Physics

Description: Click to see full description

Category:
Physics