论文标题
Schwarzschild-de保姆时空的Painleve-Gullstrand坐标
Painleve-Gullstrand coordinates for Schwarzschild-de Sitter spacetime
论文作者
论文摘要
Painleve-Gullstrand坐标被扩展以描述宇宙学环境中的黑洞：Schwarzschild-de-Sitter黑洞，该黑洞具有两个范围。该扩展是使用Arnowitt-Deser-Misner形式主义进行的。在此扩展程序中，它描述了整个径向坐标范围内的度量，$ 0 <r <\ infty $，有一个$ r = r_0 $的点，换档函数（速度）会更改符号。在这一点上，观察者处于静止状态，而观察者的$ r <r_0 $是免费的，而$ r> r_0 $的观察者则免费落在宇宙学上。固定观察者的存在允许确定鹰辐射的温度，这与R. Bousso和S.W.一致。鹰，物理。 Rev. D 54，6312（1996）。这是由地平线上的重力确定的常规鹰温度的红移修饰。我们还考虑了schwarzschild-de-sitter白洞等配置的Painlevé-GullStrand坐标及其扩展，其中移动函数的符号无处不在；合同de Sitter时空的环境中的黑洞，其中移位函数的迹象无处不在；以及合同de Sitter Spacetime中的白洞，该移动速度在$ r = r_0 $中更改标志。
The Painleve-Gullstrand coordinates are extended to describe the black hole in the cosmological environment: the Schwarzschild-de-Sitter black hole, which has two horizons. The extension is made using the Arnowitt-Deser-Misner formalism. In this extension, which describes the metric in the whole range of radial coordinates $0<r < \infty$, there is the point $r=r_0$ at which the shift function (velocity) changes sign. At this point the observer is at rest, while the observers at $r<r_0$ are free falling to the black hole and the observers at $r>r_0$ are free falling towards the cosmological horizon. The existence of the stationary observer allows to determine the temperature of Hawking radiation, which is in agreement with R. Bousso and S.W. Hawking, Phys. Rev. D 54, 6312 (1996). It is the red-shifted modification of the conventional Hawking temperature determined by the gravity at the horizon. We also consider the Painlevé-Gullstrand coordinates and their extension for such configurations as Schwarzschild-de-Sitter white hole, where the sign of the shift function is everywhere positive; the black hole in the environment of the contracting de Sitter spacetime, where the sign of the shift function is everywhere negative; and the white hole in the contracting de Sitter spacetime, where the shift velocity changes sign at $r=r_0$.
