Global Nonlinear Stability of Schwarzschild Spacetime Under Polarized Perturbations - Couverture souple

Livre 200 sur 202: Annals of Mathematics Studies

Klainerman, Sergiu; Szeftel, Jérémie

 
9780691212425: Global Nonlinear Stability of Schwarzschild Spacetime Under Polarized Perturbations
Couverture souple
ISBN 10 : 0691212422 ISBN 13 : 9780691212425
Editeur : Princeton University Press, 2020

Synopsis

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.

Les informations fournies dans la section « Synopsis » peuvent faire référence à une autre édition de ce titre.

À propos de l?auteur

Sergiu Klainerman is Eugene Higgins Professor of Mathematics at Princeton University. His books include The Global Nonlinear Stability of the Minkowski Space (Princeton). Jérémie Szeftel is a CNRS senior researcher in mathematics at the Laboratoire Jacques-Louis Lions of Sorbonne Université in Paris.

Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.

Éditeur
Princeton University Press
Date d'édition
2020
Langue
anglais
ISBN 10 
0691212422
ISBN 13 
9780691212425
Reliure
Broché
Nombre de pages
858
Coordonnées du fabricant
non disponible
Personne responsable
non disponible

Autres éditions populaires du même titre

9780691212432: Global Nonlinear Stability of Schwarzschild Spacetime Under Polarized Perturbations

Edition présentée

ISBN 10 :  0691212430 ISBN 13 :  9780691212432
Editeur : Princeton University Press, 2020
Couverture rigide