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The Einstein-Klein-Gordon Coupled System

- Global Stability of the Minkowski Solution
Af: Benoit Pausader, Alexandru D. Ionescu Engelsk Paperback

The Einstein-Klein-Gordon Coupled System

- Global Stability of the Minkowski Solution
Af: Benoit Pausader, Alexandru D. Ionescu Engelsk Paperback
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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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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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Se mere i:
Produktdetaljer
Sprog: Engelsk
Sider: 308
ISBN-13: 9780691233048
Indbinding: Paperback
Udgave:
ISBN-10: 0691233047
Kategori: Matematisk fysik
Udg. Dato: 15 mar 2022
Længde: 0mm
Bredde: 156mm
Højde: 235mm
Forlag: Princeton University Press
Oplagsdato: 15 mar 2022
Forfatter(e): Benoit Pausader, Alexandru D. Ionescu
Forfatter(e) Benoit Pausader, Alexandru D. Ionescu

Kategori Matematisk fysik

ISBN-13 9780691233048

Sprog Engelsk

Indbinding Paperback

Sider 308

Udgave

Længde 0mm

Bredde 156mm

Højde 235mm

Udg. Dato 15 mar 2022

Oplagsdato 15 mar 2022

Forlag Princeton University Press

Kategori sammenhænge