标题： 张量分布在度规符号改变的时空上 显示英文标题

标题： Tensor distributions on signature-changing space-times

摘要： 在度规张量改变符号的时空中的不规则性表明，这样的时空上的场方程可能被视为分布形式的。 我们回顾了微分流形上的张量分布的形式理论，并检查在存在符号变化的情况下，场方程能被赋予多大的严格意义，特别是那些涉及协变导数的方程。 我们发现，无论是连续的还是不连续的符号变化，都可以在一类足够广泛的张量分布上定义协变微分，这类分布具有物理意义。 显示英文摘要

摘要： Irregularities in the metric tensor of a signature-changing space-time suggest that field equations on such space-times might be regarded as distributional. We review the formalism of tensor distributions on differentiable manifolds, and examine to what extent rigorous meaning can be given to field equations in the presence of signature-change, in particular those involving covariant derivatives. We find that, for both continuous and discontinuous signature-change, covariant differentiation can be defined on a class of tensor distributions wide enough to be physically interesting.