Global Nonlinear Stability of Schwarzschild Spacetime under Polarized Perturbations is popular PDF and ePub book, written by Jérémie Szeftel in 2020-12-15, it is a fantastic choice for those who relish reading online the Mathematics genre. Let's immerse ourselves in this engaging Mathematics book by exploring the summary and details provided below. Remember, Global Nonlinear Stability of Schwarzschild Spacetime under Polarized Perturbations can be Read Online from any device for your convenience.
Global Nonlinear Stability of Schwarzschild Spacetime under Polarized Perturbations Book PDF Summary
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.
Detail Book of Global Nonlinear Stability of Schwarzschild Spacetime under Polarized Perturbations PDF
- Author : Jérémie Szeftel
- Release : 15 December 2020
- Publisher : Princeton University Press
- ISBN : 9780691218526
- Genre : Mathematics
- Total Page : 856 pages
- Language : English
- PDF File Size : 17,7 Mb
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