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Global Nonlinear Stability of Schwarzschild Spacetime under Polarized Perturbations: (Ams-210) (Annals of Mathematics Studies, 210, Band 210) - Softcover

Buch 200 von 202: Annals of Mathematics Studies

Klainerman, Sergiu; Szeftel, Jérémie

 
9780691212425: Global Nonlinear Stability of Schwarzschild Spacetime under Polarized Perturbations: (Ams-210) (Annals of Mathematics Studies, 210, Band 210)
Softcover
ISBN 10: 0691212422 ISBN 13: 9780691212425
Verlag: Princeton University Press, 2020

Inhaltsangabe

Essential mathematical insights into one of the most important and challenging open problems in general relativity-the stability of black holes One of the major outstanding questions about black holes is whether they remain stable when subject to small perturbations. An affirmative answer to this question would provide strong theoretical support for the physical reality of black holes. In this book, Sergiu Klainerman and Jérémie Szeftel take a first important step toward solving the fundamental black hole stability problem in general relativity by establishing the stability of nonrotating black holes-or Schwarzschild spacetimes-under so-called polarized perturbations. This restriction ensures that the final state of evolution is itself a Schwarzschild space. Building on the remarkable advances made in the past fifteen years in establishing quantitative linear stability, Klainerman and Szeftel introduce a series of new ideas to deal with the strongly nonlinear, covariant features of the Einstein equations. Most preeminent among them is the general covariant modulation (GCM) procedure that allows them to determine the center of mass frame and the mass of the final black hole state. Essential reading for mathematicians and physicists alike, this book introduces a rich theoretical framework relevant to situations such as the full setting of the Kerr stability conjecture.

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Über die Autorin bzw. den Autor

Sergiu Klainerman and Jérémie Szeftel

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Verlag
Princeton University Press
Erscheinungsdatum
2020
Sprache
Englisch
ISBN 10 
0691212422
ISBN 13 
9780691212425
Einband
Taschenbuch
Anzahl der Seiten
860
Kontakt zum Hersteller
preigu GmbH & Co. KG
mail@preigu.de

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