论文标题
卢卡什飞机波浪，重新审视
Lukash plane waves, revisited
论文作者
论文摘要
卢卡什度量标准是一种均匀的引力波，在后期，近似于一类通用的空间均匀宇宙学模型的行为，单调降低了能量密度。提出了从Brinkmann到Baldwin-Jeffery-Rosen（BJR）到Bianchi坐标的转录，并解释了与Sturm-Liouville方程式的关系。 6参数等距组得出。在Bianchi VII参数范围内，我们有两个BJR转移。但是，使用任何一种都可以诱导地球和异构体的重新标记。在西克洛斯（Siklos）开创性的工作之后，我们提供了时空的几何结构和全球结构的独立描述。后者包含了杀人界的未来，时空类似于米尔恩宇宙学的各向异性版本，并且与它相似的过去。
The Lukash metric is a homogeneous gravitational wave which at late times approximates the behaviour of a generic class of spatially homogenous cosmological models with monotonically decreasing energy density. The transcription from Brinkmann to Baldwin-Jeffery-Rosen (BJR) to Bianchi coordinates is presented and the relation to a Sturm-Liouville equation is explained. The 6-parameter isometry group is derived. In the Bianchi VII range of parameters we have two BJR transciptions. However using either of them induces a mere relabeling of the geodesics and isometries. Following pioneering work of Siklos, we provide a self-contained account of the geometry and global structure of the spacetime. The latter contains a Killing horizon to the future of which the spacetime resembles an anisotropic version of the Milne cosmology and to the past of which it resemble the Rindler wedge.
