Bianchi型II和VI $_0$型Einstein-Vlasov系统反射对称解的未来非线性稳定性
Future non-linear stability for reflection symmetric solutions of the Einstein-Vlasov system of Bianchi types II and VI$_0$
摘要：
使用的方法比安奇我的情况下，我们已经表明，一个boostrap参数也适合于治疗未来的非线性稳定性的反射对称的解决方案的比安奇类型II和VI $_0$的Einstein-Vlasov系统。这些解分别渐近于含尘的Collins-Stewart解和Ellis-MacCallum解。因此，我们将Rendall和Uggla在局部旋转对称Bianchi II时空的情况下得到的结果推广到反射对称的情况。但是，我们需要假设小数据。对于Bianchi VI $_0$，没有类似的先前结果。
英文摘要：
Using the methods developed for the Bianchi I case we have shown that a boostrap argument is also suitable to treat the future non-linear stability for reflection symmetric solutions of the Einstein-Vlasov system of Bianchi types II and VI$_0$. These solutions are asymptotic to the Collins-Stewart solution with dust and the Ellis-MacCallum solution respectively. We have thus generalized the results obtained by Rendall and Uggla in the case of locally rotationally symmetric Bianchi II spacetimes to the reflection symmetric case. However we needed to assume small data. For Bianchi VI$_0$ there is no analogous previous result.
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