论文标题
坑的重力场和最大质量缺陷
Gravitational field of a pit and maximal mass defects
论文作者
论文摘要
提出了一种一般相对论的解决方案，该解决方案由Zel'Dovich-LeTelier内部由径向弦制成，该弦线通过radius $ r_0 $的球形薄壳匹配到具有质量$ M $的外部Schwarzschild溶液。这是Zel'Dovich-LeTelier-Schwarzschild的明星。当恒星的半径$ r_0 $缩小到其引力半径$ 200M $时，解决方案具有有趣的属性。有$ m = 0 $和$ r_0 = 0 $的解决方案，遵守$ \ frac {2m} {r_0} = 1 $。该解决方案有一个地平线，但不是黑洞，它们是绝妙的孔，虽然是非典型的。内饰的适当质量$ m_p $是非零的，由一个字符串制成。因此，Minkowski的外部空间隐藏了一个内部装饰物质。这些是坑溶液，显示出最大的质量缺陷。有两类的坑溶液，一个是有限的弦，另一类是半限定的。这些凹坑确实是弦坑，尽管袋装袋子，但可以看作是黄金袋。还有另一个类，这是$ \ frac {2m} {r_0} = 1 $ limit，$ m $ nonzero的$ \ frac {2m} {r_0} = 1 $限制。它是一个典型的准布孔，具有最大的质量缺陷。具有$ \ frac {2m} {r_0} = 1 $而$ m = 0 $的普通坑解决方案可以存在最大质量缺陷。 $ r_0 = 2m $ limit的Zel'Dovich-LeTelier-Schwarzschild Star是一个实例。这三类的静态溶液产生了在临界重力崩溃中出现的相同的解决方案，有些解决方案产生裸露的无效奇点，这里是两个弦坑类别，有些解决方案产生了黑洞，在这里，这些溶液在Quasiblack孔限制的紧凑型弦星中，在这里散发出质量的collape，是分散的，这是巨大的collape serplese serpatiers of the s的collare，s senters sistation sistation sistation s nist s tocatier s sentation s nisters statics statics send sent s tocation s statics senders''星星。提供了弦坑的热力学和弦恒星候选孔解决方案，并提到了其他连接。
A general relativistic solution, composed of a Zel'dovich-Letelier interior made of radial strings matched through a spherical thin shell at radius $r_0$ to an exterior Schwarzschild solution with mass $m$, is presented. It is the Zel'dovich-Letelier-Schwarzschild star. When the radius $r_0$ of the star is shrunk to its gravitational radius $2m$, the solutions have interesting properties. There are solutions with $m=0$ and $r_0=0$ that obey $\frac{2m}{r_0}=1$. The solutions have a horizon, but are not black holes, they are quasiblack holes, though atypical. The proper mass $m_p$ of the interior is nonzero and made of one string. Hence, a Minkowski exterior space hides an interior with matter in a pit. These are the pit solutions and show a maximal mass defect. There are two classes of pit solutions, one a finite string and the other a semi-infinite one. These pits are really string pits, that can be seen as Wheeler bags of gold, albeit squashed bags. There is another class, which is a compact stringy star at the $\frac{2m}{r_0}=1$ limit with $m$ nonzero. It is a typical quasiblack hole and it has maximal mass defect. Generically pit solutions with $\frac{2m}{r_0}=1$ and $m=0$ can exist with maximal mass defects. The Zel'dovich-Letelier-Schwarzschild star at the $r_0=2m$ limit is an instance of it. These three classes of static solutions yield the same spectrum of solutions that appear in critical gravitational collapse, there are solutions that yield naked null singularities, which here are the two string pit classes, there are solutions that yield black holes, which here are represented by the compact stringy stars at the quasiblack hole limit, and the solutions that disperse away in critical collapse here are the static Zel'dovich-Letelier-Schwarzschild stars. Thermodynamics of the string pit and stringy star quasiblack hole solutions is provided, and other connections are mentioned.
