标题： Kundt波的微分不变量 显示英文标题

标题： Differential invariants of Kundt waves

摘要： Kundt波属于一类时空，这些时空不能通过它们的标量曲率不变量来区分。我们通过问题的等价伪群的标量微分不变量来解决这一类度规的等价性问题。我们在通用层上计算并有限表示了这些不变量的代数，同时也指定了真空Kundt波的行为。然后，我们将结果与Cartan-Karlhede算法计算出的不变量进行了比较。 显示英文摘要

摘要： Kundt waves belong to the class of spacetimes which are not distinguished by their scalar curvature invariants. We address the equivalence problem for the metrics in this class via scalar differential invariants with respect to the equivalence pseudo-group of the problem. We compute and finitely represent the algebra of those on the generic stratum and also specify the behavior for vacuum Kundt waves. The results are then compared to the invariants computed by the Cartan-Karlhede algorithm.