Global Nonlinear Stability of Schwarzschild Spacetime under Polarized Perturbations

Global Nonlinear Stability of Schwarzschild Spacetime under Polarized Perturbations

AngličtinaMäkká väzba
Klainerman Sergiu
Princeton University Press
EAN: 9780691212425
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Podrobné informácie

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.

EAN 9780691212425
ISBN 0691212422
Typ produktu Mäkká väzba
Vydavateľ Princeton University Press
Dátum vydania 15. decembra 2020
Stránky 856
Jazyk English
Rozmery 254 x 178
Krajina United States
Autori Klainerman Sergiu; Szeftel, Jeremie
Ilustrácie 13 b/w illus.
Séria Annals of Mathematics Studies