论文标题
逆转Szekeres度量的无效限制
Reversing the Null Limit of the Szekeres Metric
论文作者
论文摘要
Lemaitre-Tolman和Szekeres的无效限制是众所周知，是Vaidya和无新闻的Robinson-Trautman指标。我们将此结果概括为非零$λ$的情况，然后询问反向过程是否可能 - 是否有系统的过程可以从null-dust案例中检索及时的dust指标？我们提出了这样一种算法，用于重新构造静态折线的度量和物质张量组件。这项承诺阐明了零限制过程，强调了哪些数量接近统一或零，因此需要仔细讨论如何通过所使用的转换和替换来管理功能依赖性。
The null limits of the Lemaitre-Tolman and Szekeres spacetimes are known to be the Vaidya and news-free Robinson-Trautman metrics. We generalise this result to the case of non-zero $Λ$, and then ask whether the reverse process is possible -- is there a systematic procedure to retrieve the timelike-dust metric from the null-dust case? We present such an algorithm for re-constructing both the metric and matter tensor components of the timelike-dust manifold. This undertaking has elucidated the null limit process, highlighted which quantities approach unity or zero, and necessitated a careful discussion of how the functional dependencies are managed by the transformations and substitutions used.
