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Global Nonlinear Stability of Schwarzschild Spacetime under Polarized Perturbations: (AMS-210)

Jérémie Szeftel and Sergiu Klainerman

Published in print:
2020
Published Online:
May 2021
ISBN:
9780691212425
eISBN:
9780691218526
Item type:
book
Publisher:
Princeton University Press
DOI:
10.23943/princeton/9780691212425.001.0001
Subject:
Mathematics, Geometry / Topology

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 ... More


Preliminaries

Sergiu Klainerman and Jérémie Szeftel

in Global Nonlinear Stability of Schwarzschild Spacetime under Polarized Perturbations: (AMS-210)

Published in print:
2020
Published Online:
May 2021
ISBN:
9780691212425
eISBN:
9780691218526
Item type:
chapter
Publisher:
Princeton University Press
DOI:
10.23943/princeton/9780691212425.003.0002
Subject:
Mathematics, Geometry / Topology

This chapter discusses the main quantities, equations, and basic tools needed in the following chapters. It is the main reference kit providing all main null structure and null Bianchi equations, in ... More


Main Theorem

Sergiu Klainerman and Jérémie Szeftel

in Global Nonlinear Stability of Schwarzschild Spacetime under Polarized Perturbations: (AMS-210)

Published in print:
2020
Published Online:
May 2021
ISBN:
9780691212425
eISBN:
9780691218526
Item type:
chapter
Publisher:
Princeton University Press
DOI:
10.23943/princeton/9780691212425.003.0003
Subject:
Mathematics, Geometry / Topology

This chapter presents the main theorem, its main conclusions, as well as a full strategy of its proof, divided in nine supporting intermediate results, Theorems M0–M8. The chapter specifies the ... More


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