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Global Nonlinear Stability of Schwarzschild Spacetime under Polarized Perturbations – (AMS-210) - Princeton Scholarship Online
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Global Nonlinear Stability of Schwarzschild Spacetime under Polarized Perturbations: (AMS-210)

Jérémie Szeftel and Sergiu Klainerman


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. This book takes an 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 r ... More

Keywords: general relativity, black holes, black hole stability, nonrotating black holes, Schwarzschild spacetimes, quantitative linear stability, general covariant modulation, Kerr stability conjecture

Bibliographic Information

Print publication date: 2020 Print ISBN-13: 9780691212425
Published to Princeton Scholarship Online: May 2021 DOI:10.23943/princeton/9780691212425.001.0001


Affiliations are at time of print publication.

Jérémie Szeftel, author
Sorbonne Université

Sergiu Klainerman, author
Princeton University