The Einstein–Klein–Gordon Coupled System – Global Stability of the Minkowski Solution: (AMS–213): Annals of Mathematics Studies
Autor Alexandru D. Ionescu, Benoît Pausaderen Limba Engleză Hardback – 4 apr 2022
This book provides a definitive proof of global nonlinear stability of Minkowski spacetime 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 spacetime, 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.
Toate formatele și edițiile | Preț | Express |
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Paperback (1) | 459.43 lei 6-8 săpt. | |
Princeton University Press – 4 apr 2022 | 459.43 lei 6-8 săpt. | |
Hardback (1) | 985.99 lei 6-8 săpt. | |
Princeton University Press – 4 apr 2022 | 985.99 lei 6-8 săpt. |
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Specificații
ISBN-13: 9780691233055
ISBN-10: 0691233055
Pagini: 308
Dimensiuni: 166 x 242 x 24 mm
Greutate: 0.61 kg
Editura: Princeton University Press
Seria Annals of Mathematics Studies
ISBN-10: 0691233055
Pagini: 308
Dimensiuni: 166 x 242 x 24 mm
Greutate: 0.61 kg
Editura: Princeton University Press
Seria Annals of Mathematics Studies
Notă biografică
Alexandru D. Ionescu is professor of mathematics at Princeton University. Benoît Pausader is professor of mathematics at Brown University.