Global Nonlinear Stability of the Minkowski Space
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A01=Demetrios Christodoulou
A01=Sergiu Klainerman
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Angular momentum operator
Asymptotic analysis
Author_Demetrios Christodoulou
Author_Sergiu Klainerman
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Boundary value problem
Category1=Non-Fiction
Category=PBML
Cauchy-Riemann equations
Coefficient
Comparison theorem
COP=United States
Covariant derivative
Curvature
Curvature tensor
Cut locus (Riemannian manifold)
Degeneracy (mathematics)
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Derivative
Diffeomorphism
Differentiable function
Eigenvalues and eigenvectors
Eikonal equation
Einstein field equations
eq_isMigrated=2
eq_nobargain
Equation
Estimation
Existence theorem
Existential quantification
Exponential map (Riemannian geometry)
Exterior (topology)
Foliation
Geodesics in general relativity
Hodge dual
Homotopy
Hyperbolic partial differential equation
Hypersurface
Infinitesimal generator (stochastic processes)
Integral curve
Isoperimetric inequality
Language_English
Laplace's equation
Lie derivative
Linear equation
Linear map
Logarithm
Lorentz group
Mass formula
Metric tensor
Minkowski space
Nonlinear system
Normal (geometry)
Null hypersurface
Orthonormal basis
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Partial derivative
Poisson's equation
Price_€100 and above
Projection (linear algebra)
PS=Active
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Radial function
Ricci curvature
Riemann curvature tensor
Riemann surface
Riemannian geometry
Riemannian manifold
Sard's theorem
Scalar curvature
Scale invariance
Schwarzschild metric
Second fundamental form
Sobolev inequality
Sobolev space
softlaunch
Stokes' theorem
Symmetric tensor
Tangent space
Theorem
Trace (linear algebra)
Uniformization theorem
Vector field
Weyl tensor
Product details
- ISBN 9780691603155
- Weight: 709g
- Dimensions: 152 x 229mm
- Publication Date: 14 Jul 2014
- Publisher: Princeton University Press
- Publication City/Country: US
- Product Form: Paperback
- Language: English
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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 gravitation proposed by Bondi. Moreover, it establishes other important conclusions concerning the nonlinear character of gravitational radiation. The authors obtain their solutions as dynamic developments of all initial data sets, which are close, in a precise manner, to the flat initial data set corresponding to the Minkowski space-time. They thus establish the global dynamic stability of the latter. Originally published in 1994.
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