The Einstein-Klein-Gordon Coupled System: Global Stability of the Minkowski Solution - Couverture rigide

Ionescu, Alexandru D.; Pausader, Benoît

 
9780691233055: The Einstein-Klein-Gordon Coupled System: Global Stability of the Minkowski Solution
Couverture rigide
ISBN 10 : 0691233055 ISBN 13 : 9780691233055
Editeur : Princeton University Press, 2022

Synopsis

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 Benoît 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.

Les informations fournies dans la section « Synopsis » peuvent faire référence à une autre édition de ce titre.

À propos de l?auteur

Alexandru D. Ionescu is professor of mathematics at Princeton University. Benoît Pausader is professor of mathematics at Brown University.

Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.

Éditeur
Princeton University Press
Date d'édition
2022
Langue
anglais
ISBN 10 
0691233055
ISBN 13 
9780691233055
Reliure
Relié
Nombre de pages
308
Coordonnées du fabricant
non disponible
Personne responsable
non disponible

Autres éditions populaires du même titre

9780691233048: The Einstein-Klein-Gordon Coupled System: Global Stability of the Minkowski Solution

Edition présentée

ISBN 10 :  0691233047 ISBN 13 :  9780691233048
Editeur : Princeton University Press, 2022
Couverture souple