The spacetime geometry of a null electromagnetic field
The spacetime geometry of a null electromagnetic field
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零电磁场的时空几何
DOI：
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发表时间：
2013
期刊：
影响因子：
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通讯作者：
Charles G. Torre
中科院分区：
文献类型：
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作者：
Charles G. Torre
给出了时空度规为零电真空的一组局部几何条件，即度规是具有零电磁场的爱因斯坦-麦克斯韦方程的解的一部分。这些条件是对从时空度规规范构造的零同余的限制，并且可以涉及该度规的最多五个导数。零电真空条件是Rainich条件的对应物，后者在几何上刻画了非零电真空。给出一个满足零电真空条件的时空，一个简单的过程就是从度规中建立零电磁场。零电真空几何结构用文献中的一些纯辐射时空进行了说明。
We give a set of local geometric conditions on a spacetime metric which are necessary and sufficient for it to be a null electrovacuum, that is, the metric is part of a solution to the Einstein–Maxwell equations with a null electromagnetic field. These conditions are restrictions on a null congruence canonically constructed from the spacetime metric, and can involve up to five derivatives of the metric. The null electrovacuum conditions are counterparts of the Rainich conditions, which geometrically characterize non-null electrovacua. Given a spacetime satisfying the conditions for a null electrovacuum, a straightforward procedure builds the null electromagnetic field from the metric. Null electrovacuum geometry is illustrated using some pure radiation spacetimes taken from the literature.