Horizons versus singularities in spherically symmetric space-times
Horizons versus singularities in spherically symmetric space-times
复制标题
球对称时空中的视界与奇点
DOI：
10.1103/physrevd.78.064049
复制
发表时间：
2008
影响因子：
5
通讯作者：
O. Zaslavskii
中科院分区：
文献类型：
--
作者：
K. Bronnikov;Emilio Elizalde;S. Odintsov;O. Zaslavskii
我们讨论了在静态、球对称构型中可能存在的不同类型的杀伤视界，最近根据作用于扩展体的横向潮汐力的近视界行为，将其分类为“普通”、“裸”和“真正裸”。我们得到了度规在任意径向坐标下可扩展到视界之外的必要条件，并证明了所有真正的裸视界，以及许多以前被描述为裸视界甚至普通视界的视界，都不允许扩展，因此必须被视为奇点。文中给出了一些例子，说明哪些物质能够创造出具有不同视界的特定时空，包括真正的裸视界。其中包括具有负压的流体和具有特定势行为的标量场。我们还讨论了Kantowski-Sachs球对称宇宙论中的视界和奇点，并给出了视界正则性条件下的任意时间坐标和固有（同步）时间。事实证明，2阶或更高阶的视界发生在过去或未来的无限固有时，但与这些视界之外的区域的单向通信仍然是可能的。
We discuss different kinds of Killing horizons possible in static, spherically symmetric configurations and recently classified as 'usual', 'naked', and 'truly naked' ones depending on the near-horizon behavior of transverse tidal forces acting on an extended body. We obtain the necessary conditions for the metric to be extensible beyond a horizon in terms of an arbitrary radial coordinate and show that all truly naked horizons, as well as many of those previously characterized as naked and even usual ones, do not admit an extension and therefore must be considered as singularities. Some examples are given, showing which kinds of matter are able to create specific space-times with different kinds of horizons, including truly naked ones. Among them are fluids with negative pressure and scalar fields with a particular behavior of the potential. We also discuss horizons and singularities in Kantowski-Sachs spherically symmetric cosmologies and present horizon regularity conditions in terms of an arbitrary time coordinate and proper (synchronous) time. It turns out that horizons of orders 2 and higher occur in infinite proper times in the past or future, but one-way communication with regions beyond such horizons is still possible.