标题： 里奇和物质共线性局部旋转对称时空 显示英文标题

标题： Ricci and matter collineations of locally rotationally symmetric space-times

摘要： 提出了一种新方法，用于确定给定时空的里奇共线性（RC）和物质共线性（MC），在里奇张量和能量动量张量非退化且与度规具有相似形式的情况下。此方法将寻找RC和MC的问题简化为确定KVs的问题，同时利用了关于度规运动的已有结果。我们使用此方法确定所有具有适当RC和MC的超曲面齐次局部旋转对称时空。我们还给出了相应的共线性向量。 显示英文摘要

摘要： A new method is presented for the determination of Ricci Collineations (RC) and Matter Collineations (MC) of a given spacetime, in the cases where the Ricci tensor and the energy momentum tensor are non-degenerate and have a similar form with the metric. This method reduces the problem of finding the RCs and the MCs to that of determining the KVs whereas at the same time uses already known results on the motions of the metric. We employ this method to determine all hypersurface homogeneous locally rotationally symmetric spacetimes, which admit proper RCs and MCs. We also give the corresponding collineation vectors.