论文标题
空位没有位置漂移
Spacetimes with no position drift
论文作者
论文摘要
本文将时空的三个标准与没有位置漂移的三个标准进行了比较：Hasse和Perlick（HP），Krasiński和Bolejko（KB）和Korzyński和Kopiński（KK）。一个没有位置漂移的时空意味着每个观察者都以不变的方向看到所有光源。显示以下内容：（1）HP标准是KK标准应用的必要条件。 （2）如果时空度量标准以完美的流体来源遵守爱因斯坦方程，那么KK标准的另一个必要条件是Weyl Tensor为零。 （3）结果（2）指向Stephani公制，因此显示该度量遵守方程，这仍然是KK标准的更必要条件。 （4）Szekeres将军指标仅在Friedmann限制中被KK标准不流动。 （5）HP和KB标准重合，HP零饮用条件施加了Stephani度量标准，其限制与Krasiński和Bolejko（KB）相同。在图中显示和比较这三个标准之间的关系。
This paper compares three criteria for a spacetime to be free of position drift: those by Hasse and Perlick (HP), Krasiński and Bolejko (KB) and Korzyński and Kopiński (KK). A spacetime having no position drift means that every observer sees all light sources in unchanging directions. The following is shown: (1) The HP criterion is a necessary condition for the KK criterion to apply. (2) If the spacetime metric obeys the Einstein equations with a perfect fluid source, then another necessary condition for the KK criterion is the Weyl tensor being zero. (3) Result (2) points to the Stephani metric, so it is shown that this metric obeys an equation which is still one more necessary condition for the KK criterion. (4) The general Szekeres metrics become drift-free by the KK criterion only in the Friedmann limit. (5) The HP and KB criteria coincide, and the HP zero-drift condition imposes on the Stephani metric the same restriction as found by Krasiński and Bolejko (KB). The relations between the three criteria are displayed and compared in a diagram.
