arXivDaily arXiv每日学术速递 周一至周五更新
北美退伍军人节(Veterans Day),12 日无更新
arXiv 2104.03012gr-qchep-th
收藏

用能量条件约束层位数

Constraining the number of horizons with energy conditions

Run-Qiu Yang, Rong-Gen Cai, Li Li

摘要:

我们证明了静态黑洞的视界数可以受到物质场能量条件的强约束。在对黑洞的“内部”作了细致的澄清之后,我们证明了:如果静态黑洞的内部满足强能量条件或零能量条件,则在非退化事件视界的后面至多存在一个非退化的内Killing视界.我们的结果提供了一些普遍的限制视界的数量。有趣而重要的是,它还表明物质不仅促进了事件视界的形成,而且还阻止了黑洞内部多视界的出现。进一步,利用几何构造,我们得到了一个适用于一般静态时空的径向守恒量。

英文摘要:

We show that the number of horizons of static black holes can be strongly constrained by energy conditions of matter fields. After a careful clarification on the "interior" of a black hole, we prove that if the interior of a static black hole satisfies strong energy condition or null energy condition, there is at most one non-degenerated inner Killing horizon behind the non-degenerated event horizon. Our result offers some universal restrictions on the number of horizons. Interestingly and importantly, it also suggests that matter not only promotes the formation of event horizon but also prevents the appearance of multiple horizons inside black holes. Furthermore, using the geometrical construction, we obtain a radially conserved quantity which is valid for general static spacetimes.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

↑