论文标题
纯时空区域的Weyl熵
A Weyl Entropy of Pure Spacetime Regions
论文作者
论文摘要
我们专注于彭罗斯的Weyl曲率假设，其中包括文献中讨论的许多特定模型。我们引入了纯时空完美流体区域中的Weyl熵的候选密度，并表明它在非常一般的假设下单调增加。然后，我们考虑紧凑型区域的Weyl熵的行为，在合适的假设下，它在时间上也被证明是单调的，并且在与真空静态指标的对应下也是最大的。也讨论了最小的熵情况。
We focus on the Penrose's Weyl Curvature Hypothesis in a general framework encompassing many specific models discussed in literature. We introduce a candidate density for the Weyl entropy in pure spacetime perfect fluid regions and show that it is monotonically increasing in time under very general assumptions. Then we consider the behavior of the Weyl entropy of compact regions, which is shown to be monotone in time as well under suitable hypotheses, and also maximal in correspondence with vacuum static metrics. The minimal entropy case is discussed too.
