标题： 保持超曲面正交的Killing向量的守恒物质超能量流 显示英文标题

标题： Conserved Matter Superenergy Currents for Hypersurface Orthogonal Killing Vectors

摘要： 我们证明，对于超曲面正交的Killing向量，相应的Chevreton超能流将被守恒，并且与Killing向量成比例。 这一结论适用于四维爱因斯坦-麦克斯韦时空，其中电磁场无源并且继承了时空的对称性。 Chevreton张量的迹也有类似的结果。 相应的Bel流之前已被证明是守恒的，我们的结果可以看作是对守恒混合超能流概念的进一步支持。 标量场的类似情况也已被证明会产生守恒流，为了完整性，我们证明这些流同样与Killing向量成比例。 显示英文摘要

摘要： We show that for hypersurface orthogonal Killing vectors, the corresponding Chevreton superenergy currents will be conserved and proportional to the Killing vectors. This holds for four-dimensional Einstein-Maxwell spacetimes with an electromagnetic field that is sourcefree and inherits the symmetry of the spacetime. A similar result also holds for the trace of the Chevreton tensor. The corresponding Bel currents have previously been proven to be conserved and our result can be seen as giving further support to the concept of conserved mixed superenergy currents. The analogous case for a scalar field has also previously been proven to give conserved currents and we show, for completeness, that these currents also are proportional to the Killing vectors.