The Newtonian limit of the spherically symmetric Vlasov-Einstein system
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We prove that spherically symmetric solutions of the Vlasov-Einstein system with a fixed initial value converge to the corresponding solution of the Vlasov-Poisson system if the speed of lightc is taken as a parameter and tends to infinity. The convergence is uniform on compact time intervals with convergence rate 1/c2. Thus the classical Vlasov-Poisson system appears as the Newtonian limit of the general relativistic Vlasov-Einstein system in a spherically symmetric setting.
KeywordsNeural Network Statistical Physic Complex System Nonlinear Dynamics Convergence Rate
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