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  1. Bog
  2. Geometri
  3. Ikke-euklidisk geometri

Global Nonlinear Stability of Schwarzschild Spacetime under Polarized Perturbations

Af: Sergiu Klainerman, Jeremie Szeftel Engelsk Paperback

Global Nonlinear Stability of Schwarzschild Spacetime under Polarized Perturbations

Af: Sergiu Klainerman, Jeremie Szeftel Engelsk Paperback
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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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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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Produktdetaljer
Sprog: Engelsk
Sider: 858
ISBN-13: 9780691212425
Indbinding: Paperback
Udgave:
ISBN-10: 0691212422
Kategori: Ikke-euklidisk geometri
Udg. Dato: 15 dec 2020
Længde: 49mm
Bredde: 255mm
Højde: 178mm
Forlag: Princeton University Press
Oplagsdato: 15 dec 2020
Forfatter(e): Sergiu Klainerman, Jeremie Szeftel
Forfatter(e) Sergiu Klainerman, Jeremie Szeftel

Kategori Ikke-euklidisk geometri

ISBN-13 9780691212425

Sprog Engelsk

Indbinding Paperback

Sider 858

Udgave

Længde 49mm

Bredde 255mm

Højde 178mm

Udg. Dato 15 dec 2020

Oplagsdato 15 dec 2020

Forlag Princeton University Press

Kategori sammenhænge