论文标题
空间距离的一般含义
The generally covariant meaning of space distances
论文作者
论文摘要
我们提出了一个协变量和几何框架，以引入天文学家使用的空间距离。特别是，我们扩展了从事件之间使用的空间距离的定义到具有地平线和奇异性的非测试物体的定义，以使定义通过地平线扩展，并与用于测量它们的协议相匹配。我们提出的定义可以在标准的一般相对论中使用，尽管它直接扩展到Weyl几何形状以包含许多修改的理论，特别是扩展理论。
We propose a covariant and geometric framework to introduce space distances as they are used by astronomers. In particular, we extend the definition of space distances from the one used between events to non-test-bodies with horizons and singularities so that the definition extends through the horizons and it matches the protocol used to measure them. The definition we propose can be used in standard General Relativity although it extends directly to Weyl geometries to encompass a number of modified theories, extended theories in particular.
