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The Cauchy Problem for the Einstein–Vlasov System
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P. B. Mucha
Published/Copyright:
June 4, 2010
Abstract
We prove an existence and uniqueness for the Einstein–Vlasov system locally in time. Considerations are restricted to initial data which give a solution in harmonic coordinates.
Received: 1997-03-27
Revised: 1997-09-11
Published Online: 2010-06-04
Published in Print: 1998-June
© Heldermann Verlag
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Keywords for this article
Nonlinear hyperbolic system;
Vlasov equation;
general relativity
Articles in the same Issue
- The Lifting Problem with the Full Ideal
- Contrasting Symmetric Porosity and Porosity
- Some Additive Darboux–Like Functions
- New Existence Theorems for Solutions of Generalized Quasi–Variational Inequalities
- Oscillatory Properties of the Solutions of Impulsive Differential Equations with Retarded Argument and Oscillating Coefficients
- Set–Valued Implicit Wiener-Hopf Equations and Generalized Strongly Nonlinear Quasivariational Inequalities
- Selfgravitating Electrodynamic Stability of a Fluid-Tar Annular Jet Pervaded by Periodic Time Dependet Electric Field
- The Cauchy Problem for the Einstein–Vlasov System
- The Cauchy Problem for the Einstein–Boltzmann System