GLOBAL REGULARITY OF SOLUTIONS OF THE EINSTEIN-KLEIN-GORDON SYSTEM: A REVIEW

ALEXANDRU D. IONESCU; BENOIT PAUSADER

doi:10.1090/qam/1555

GLOBAL REGULARITY OF SOLUTIONS OF THE EINSTEIN-KLEIN-GORDON SYSTEM: A REVIEW

ALEXANDRU D. IONESCU, BENOIT PAUSADER

Mathematics

Research output: Contribution to journal › Review article › peer-review

2 Scopus citations

Abstract

In this article we consider the Einstein field equations of General Rela- tivity for self-gravitating massive scalar fields (the Einstein-Klein-Gordon system). Our goal is to review the main results and ideas in our work [The Einstein-Klein-Gordon coupled system: Global stability of the Minkowski solution, preprint (2019)] on the global regularity, modified scattering, and asymptotic analysis of solutions of this system with initial data in a small neighborhood of the Minkowski space-time.

Original language	English (US)
Pages (from-to)	277-303
Number of pages	27
Journal	Quarterly of Applied Mathematics
Volume	78
Issue number	2
DOIs	https://doi.org/10.1090/qam/1555
State	Published - Jun 2020

All Science Journal Classification (ASJC) codes

Applied Mathematics

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10.1090/qam/1555

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title = "GLOBAL REGULARITY OF SOLUTIONS OF THE EINSTEIN-KLEIN-GORDON SYSTEM: A REVIEW",

abstract = "In this article we consider the Einstein field equations of General Rela- tivity for self-gravitating massive scalar fields (the Einstein-Klein-Gordon system). Our goal is to review the main results and ideas in our work [The Einstein-Klein-Gordon coupled system: Global stability of the Minkowski solution, preprint (2019)] on the global regularity, modified scattering, and asymptotic analysis of solutions of this system with initial data in a small neighborhood of the Minkowski space-time.",

author = "IONESCU, \{ALEXANDRU D.\} and BENOIT PAUSADER",

note = "Publisher Copyright: {\textcopyright}2019 Brown University",

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AB - In this article we consider the Einstein field equations of General Rela- tivity for self-gravitating massive scalar fields (the Einstein-Klein-Gordon system). Our goal is to review the main results and ideas in our work [The Einstein-Klein-Gordon coupled system: Global stability of the Minkowski solution, preprint (2019)] on the global regularity, modified scattering, and asymptotic analysis of solutions of this system with initial data in a small neighborhood of the Minkowski space-time.

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GLOBAL REGULARITY OF SOLUTIONS OF THE EINSTEIN-KLEIN-GORDON SYSTEM: A REVIEW

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