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arXiv 1012.5252gr-qcastro-ph.CO
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具有宇宙学常数的畴壁时空

Domain wall space-times with a cosmological constant

Chih-Hung Wang, Hing-Tong Cho, Yu-Huei Wu

摘要:

本文在具有二维类空轨道的三参数等距群的时空中,求解了具有宇宙学常数的真空爱因斯坦场方程。由于零坐标的自由选择,在超前零坐标和滞后零坐标中表示的一般精确解具有两个任意函数。在薄壁近似中,以色列的交界条件产生一个约束方程,这两个功能在球面,平面和双曲域壁时空反射对称。通过要求当畴壁的表面能密度$σ_0$为零时,度规解将返回到某些已知解,从而完全固定了选择坐标的剩余自由度。它导致我们找到一个平面畴壁解决方案,这是共形平坦的,在德西特宇宙。

英文摘要:

We solve vacuum Einstein's field equations with the cosmological constant in space-times admitting 3-parameter group of isometries with 2-dimensional space-like orbits. The general exact solutions, which are represented in the advanced and retarded null coordinates, have two arbitrary functions due to the freedom of choosing null coordinates. In the thin-wall approximation, the Israel's junction conditions yield one constraint equation on these two functions in spherical, planar, and hyperbolic domain wall space-times with reflection symmetry. The remain freedom of choosing coordinates are completely fixed by requiring that when surface energy density $σ_0$ of domain walls vanishes, the metric solutions will return to some well-known solutions. It leads us to find a planar domain wall solution, which is conformally flat, in the de Sitter universe.

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。

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