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  • Open Daily: 10am - 10pm
    Alley-side Pickup: 10am - 7pm

    3038 Hennepin Ave Minneapolis, MN
    612-822-4611

Open Daily: 10am - 10pm | Alley-side Pickup: 10am - 7pm
3038 Hennepin Ave Minneapolis, MN
612-822-4611
Global Nonlinear Stability of Schwarzschild Spacetime Under Polarized Perturbations

Global Nonlinear Stability of Schwarzschild Spacetime Under Polarized Perturbations

Szeftel, Jérémie
Klainerman, Sergiu

Paperback

Series: Annals of Mathematics Studies, Book 210

GeometryPhysics

ISBN10: 0691212422
ISBN13: 9780691212425
Publisher: Princeton University Press
Published: Dec 15 2020
Pages: 858
Weight: 3.30
Height: 1.80 Width: 7.00 Depth: 10.00
Language: English

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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