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Global Nonlinear Stability of Schwarzschild Spacetime under Polarized Perturbations: (AMS-210) (Annals of Mathematics Studies, 210) - Softcover
Book 200 of 202: Annals of Mathematics Studies
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.
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About the Author
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.
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Global Nonlinear Stability of Schwarzschild Spacetime under Polarized Perturbations
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Princeton University Press, Princeton, 2020
ISBN 10: 0691212422
ISBN 13: 9780691212425
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Global Nonlinear Stability of Schwarzschild Spacetime under Polarized Perturbations
Published by
Princeton University Press, 2020
ISBN 10: 0691212422
ISBN 13: 9780691212425
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Paperback. Condition: Very Good. Essential mathematical insights into one of the most important and challenging open problems in general relativity?the stability of black holesOne 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. Seller Inventory # 00107147764
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Global Nonlinear Stability of Schwarzschild Spacetime under Polarized Perturbations
Published by
Princeton University Press, 2020
ISBN 10: 0691212422
ISBN 13: 9780691212425
Used
Paperback
Seller: World of Books Inc, Montgomery, IL, U.S.A.
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Paperback. Condition: Very Good. Essential mathematical insights into one of the most important and challenging open problems in general relativity?the stability of black holesOne 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. Seller Inventory # CIN0691212422VG
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Global Nonlinear Stability of Schwarzschild Spacetime Under Polarized Perturbations
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Global Nonlinear Stability of Schwarzschild Spacetime Under Polarized Perturbations
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ISBN 13: 9780691212425
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Global Nonlinear Stability of Schwarzschild Spacetime Under Polarized Perturbations
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ISBN 13: 9780691212425
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Global Nonlinear Stability of Schwarzschild Spacetime Under Polarized Perturbations
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ISBN 10: 0691212422
ISBN 13: 9780691212425
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Paperback. Condition: New. Essential mathematical insights into one of the most important and challenging open problems in general relativity-the stability of black holesOne 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. Seller Inventory # LU-9780691212425