Abstract

We prove that the initial value problem with small data for the asymptotically flat spherically symmetric Einstein-Vlasov-Maxwell system admits the global in time solution in the case of the non-zero shift vector. This result extends the one already known for chargeless case.

中文翻译：

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球对称爱因斯坦-弗拉索夫-麦克斯韦系统解的整体存在性

摘要

我们证明了渐近平坦球对称爱因斯坦-弗拉索夫-麦克斯韦系统的小数据初值问题在非零位移向量的情况下承认全局时间解。这一结果扩展了已知的无收费案例。