The Newtonian limit for asymptotically flat solutions of the Vlasov - Einstein system
نویسنده
چکیده
It is shown that there exist families of asymptotically flat solutions of the Einstein equations coupled to the Vlasov equation describing a collisionless gas which have a Newtonian limit. These are sufficiently general to confirm that for this matter model as many families of this type exist as would be expected on the basis of physical intuition. A central role in the proof is played by energy estimates in unweighted Sobolev spaces for a wave equation satisfied by the second fundamental form of a maximal foliation. * Part of this work was done during a visit to the Department of Physics, Syracuse University, Syracuse NY 13244-1130, USA
منابع مشابه
M ar 1 99 3 The Newtonian limit for asymptotically flat solutions of the Vlasov - Einstein system
It is shown that there exist families of asymptotically flat solutions of the Einstein equations coupled to the Vlasov equation describing a collisionless gas which have a Newtonian limit. These are sufficiently general to confirm that for this matter model as many families of this type exist as would be expected on the basis of physical intuition. A central role in the proof is played by energ...
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