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

Ionescu, Alexandru D.; Pausader, Benoît

 
9780691233055: The Einstein-Klein-Gordon Coupled System: Global Stability of the Minkowski Solution: 213 (Annals of Mathematics Studies, 213)
Hardcover
ISBN 10: 0691233055 ISBN 13: 9780691233055
Verlag: Princeton University Press, 2022

Inhaltsangabe

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.

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Über die Autorin bzw. den Autor

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

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Verlag
Princeton University Press
Erscheinungsdatum
2022
Sprache
Englisch
ISBN 10 
0691233055
ISBN 13 
9780691233055
Einband
Tapa dura
Anzahl der Seiten
308
Kontakt zum Hersteller
Nicht verfügbar
Verantwortliche Person
Nicht verfügbar

Weitere beliebte Ausgaben desselben Titels

9780691233048: The Einstein-Klein-Gordon Coupled System: Global Stability of the Minkowski Solution: 213 (Annals of Mathematics Studies, 213)

Vorgestellte Ausgabe

ISBN 10:  0691233047 ISBN 13:  9780691233048
Verlag: Princeton University Press, 2022
Softcover