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Annals of Mathematics Studies: Global Nonlinear Stability of Schwarzschild Spacetime under Polarized Perturbations by Sergiu Klainerman and Jérémie Szeftel (2020, Trade Paperback)
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About this product
Product Identifiers
PublisherPrinceton University Press
ISBN-100691212422
ISBN-139780691212425
eBay Product ID (ePID)22050072638
Product Key Features
Number of Pages858 Pages
LanguageEnglish
Publication NameGlobal Nonlinear Stability of Schwarzschild Spacetime under Polarized Perturbations
Publication Year2020
SubjectGeometry / Non-Euclidean, Physics / Relativity
TypeTextbook
Subject AreaMathematics, Science
AuthorSergiu Klainerman, Jérémie Szeftel
SeriesAnnals of Mathematics Studies
FormatTrade Paperback
Dimensions
Item Height1.8 in
Item Weight55 Oz
Item Length9.8 in
Item Width7.3 in
Additional Product Features
Intended AudienceCollege Audience
Series Volume Number210
SynopsisEssential mathematical insights into one of the most important and challenging open problems in general relativity-the stability of black holesOne 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 Jeremie 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., Essential mathematical insights into one of the most important and challenging open problems in general relativity-the stability of black holesOne 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, 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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