The Cauchy Problem for the Einstein–Vlasov System

P. B. Mucha

doi:10.1515/JAA.1998.111

Published by De Gruyter June 4, 2010

The Cauchy Problem for the Einstein–Vlasov System

P. B. Mucha

From the journal Journal of Applied Analysis

https://doi.org/10.1515/JAA.1998.111

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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.

Key words and phrases.: Nonlinear hyperbolic system; Vlasov equation; general relativity

Received: 1997-03-27

Revised: 1997-09-11

Published Online: 2010-06-04

Published in Print: 1998-June

The Cauchy Problem for the Einstein–Vlasov System

Abstract

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