Spacelike Spherically Symmetric CMC Foliation in the Extended Schwarzschild Spacetime

Lee Kuo-Wei; Lee Yng-Ing

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Spacelike Spherically Symmetric CMC Foliation in the Extended Schwarzschild Spacetime

机译：Schwarzschild时空中的类空球对称CMC叶片

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We first summarize the characterization of smooth spacelike spherically symmetric constant mean curvature (SS-CMC) hypersurfaces in the Schwarzschild spacetime and Kruskal extension. Then use the characterization to prove special SS-CMC foliation property, and verify part of the conjecture by Malec and A" Murchadha (Phys Rev D (3) 68:124019, 2003).

机译：我们首先总结了Schwarzschild时空和Kruskal扩展中光滑空间样球对称常数平均曲率（SS-CMC）超曲面的特征。然后使用特征来证明特殊的SS-CMC叶片特性，并由Malec和A“ Murchadha验证部分猜想（Phys Rev D（3）68：124019，2003）。

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《Annales Henri Poincare》 |2016年第6期|共27页
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Lee Kuo-Wei; Lee Yng-Ing;
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1. Spacelike Spherically Symmetric CMC Foliation in the Extended Schwarzschild Spacetime [J] . Lee Kuo-Wei, Lee Yng-Ing Annales Henri Poincare . 2016,第6期

机译：Schwarzschild时空中的类空球对称CMC叶片
2. Entire spherically symmetric spacelike graphs with prescribed mean curvature function in Schwarzschild and Reissner-Nordstrom spacetimes (vol 32, 035018, 2015) [J] . de la Fuente Daniel, Romero Alfonso, Torres Pedro J. Classical and Quantum Gravity: An Interantional Journal of Gravity Geometry of Field Theories Supergravity Cosmology . 2018,第5期

机译：Schwarzschild和Reissner-Nordstrom Spacetims中规定平均曲率函数的整个球形对称的空间图（Vol 32,035018,2015）
3. Entire spherically symmetric spacelike graphs with prescribed mean curvature function in Schwarzschild and Reissner-Nordstrom spacetimes [J] . de la Fuente Daniel, Romero Alfonso, Torres Pedro J. Classical and Quantum Gravity: An Interantional Journal of Gravity Geometry of Field Theories Supergravity Cosmology . 2015,第3期

机译：在Schwarzschild和Reissner-Nordstrom时空中具有规定平均曲率函数的整个球对称空间图
4. A nonlinear inequality involving the mean curvature of a spacelike surface in 3-dimensional GRW spacetimes and Calabi-Bernstein type problems [C] . Alfonso Romero, Rafael M. Rubio Special Sessions on Geometry of Submanifolds . 2016

机译：非线性不等式，涉及三维GRW空间和Calabi-Bernstein类型问题的空间表面的平均曲率
5. Quantized massive spin 1/2 fields on static spherically symmetric wormhole spacetimes. [D] . Shen, Zhiyong. 2012

机译：静态球对称虫孔时空上的量化自旋1/2场。
6. Generalized transformations and coordinates for static spherically symmetric general relativity [O] . James M. Hill, Joseph OLeary 2018

机译：静态球对称广义相对论的广义变换和坐标
7. Spacelike spherically symmetric CMC foliation in the extended Schwarzschild spacetime [O] . Lee, Kuo-Wei, Lee, Yng-Ing 2015

机译：空间相似的球形对称CmC叶片在扩展中施瓦兹希尔德时空

Spacelike Spherically Symmetric CMC Foliation in the Extended Schwarzschild Spacetime

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