Global nonlinear stability of Schwarzschild spacetime under polarized perturbations / Sergiu Klainerman, Jeremie Szeftel.

Format:

Book

Author/Creator:

Klainerman, Sergiu, 1950- author.

Szeftel, Jérémie, 1977- author.

Series:

Annals of mathematics studies ; Number 210.

Annals of mathematics studies ; Number 210

Language:

English

Subjects (All):

Perturbation (Mathematics).

Schwarzschild black holes.

Physical Description:

1 online resource (856 pages) : illustrations.

Place of Publication:

Princeton ; Oxford : Princeton University Press, [2020]

Language Note:

In English.

Summary:

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.

Contents:

Frontmatter

Contents

List of Figures

Acknowledgments

1 Introduction

2 Preliminaries

3 Main Theorem

4 Consequences of the Bootstrap Assumptions

5 Decay Estimates for q (Theorem M1)

6 Decay Estimates for and (Theorems M2, M3)

7 Decay Estimates (Theorems M4, M5)

8 Initialization and Extension (Theorems M6, M7, M8)

9 GCM Procedure

10 Regge-Wheeler Type Equations

A Appendix to Chapter 2

B Appendix to Chapter 8

C Appendix to Chapter 9

D Appendix to Chapter 10

Bibliography

Notes:

Includes bibliographical references.

Description based on online resource; title from digital title page (viewed on November 29, 2021)

Description based on print version record.

ISBN:

9780691218526

0691218528

OCLC:

1244435812