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The Global Nonlinear Stability of the Minkowski Space (PMS-41).

By: Contributor(s): Material type: TextTextSeries: Princeton mathematical seriesPublication details: Princeton : Princeton University Press, 2014.Description: 1 online resource (525 pages)Content type:
  • text
Media type:
  • computer
Carrier type:
  • online resource
ISBN:
  • 9781400863174
  • 1400863171
Subject(s): Genre/Form: Additional physical formats: Print version:: Global Nonlinear Stability of the Minkowski Space (PMS-41).DDC classification:
  • 530.1/1 20
LOC classification:
  • QC173.59.S65
Online resources:
Contents:
Cover; Contents; I. Preliminary Results in 2- and 3-Dimensional Riemannian Geometry; II. Bianchi Equations in Space-Time; III. Construction of Global Space-Times. Proof of the Main Theorem.
Summary: The aim of this work is to provide a proof of the nonlinear gravitational stability of the Minkowski space-time. More precisely, the book offers a constructive proof of global, smooth solutions to the Einstein Vacuum Equations, which look, in the large, like the Minkowski space-time. In particular, these solutions are free of black holes and singularities. The work contains a detailed description of the sense in which these solutions are close to the Minkowski space-time, in all directions. It thus provides the mathematical framework in which we can give a rigorous derivation of the laws of.
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Print version record.

Cover; Contents; I. Preliminary Results in 2- and 3-Dimensional Riemannian Geometry; II. Bianchi Equations in Space-Time; III. Construction of Global Space-Times. Proof of the Main Theorem.

The aim of this work is to provide a proof of the nonlinear gravitational stability of the Minkowski space-time. More precisely, the book offers a constructive proof of global, smooth solutions to the Einstein Vacuum Equations, which look, in the large, like the Minkowski space-time. In particular, these solutions are free of black holes and singularities. The work contains a detailed description of the sense in which these solutions are close to the Minkowski space-time, in all directions. It thus provides the mathematical framework in which we can give a rigorous derivation of the laws of.

In English.

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