Weyl card diagrams
Weyl card diagrams
复制标题
韦尔卡图
DOI：
--
复制
发表时间：
2004
期刊：
影响因子：
--
通讯作者：
John E. Wang
中科院分区：
文献类型：
--
作者：
Gregory C. Jones;John E. Wang
为了捕捉时空的重要物理性质，我们构造了一个新的图，卡片图，它通过编码时空的整体结构、奇点、视界和因果结构的某些方面(包括零无限)，准确地绘制了任意维度的广义Weyl时空。与彭罗斯图相比，卡片图只绘制了非平凡的方向，提供了时空几何特征的更清晰的图景，并且可以作为几何参数的函数连续变化。我们的主要结果之一是描述了Weyl杆是如何可穿越的视界，以及整个时空是如何被绘制出来的。我们回顾了Weyl技术，作为例子，我们系统地讨论了各种解的性质，包括Kerr-Newman黑洞、黑环、膨胀气泡和最近的类空膜解。解决方案系列将共享质量相似的卡片。此外，我们还展示了卡片图如何通过提供解析延拓的几何图像来不仅捕捉有关几何的信息，而且还捕捉其解析延拓的信息。将Weyl方法推广到高维带电解，并应用于以色列-可汗棒对泡状解和S膜解的微扰。本文是对HEP-TH/0409070中的卡片图的浓缩和简化。
To capture important physical properties of a spacetime we construct a new diagram, the card diagram, which accurately draws generalized Weyl spacetimes in arbitrary dimensions by encoding their global spacetime structure, singularities, horizons, and some aspects of causal structure including null infinity. Card diagrams draw only non-trivial directions providing a clearer picture of the geometric features of spacetimes as compared to Penrose diagrams, and can change continuously as a function of the geometric parameters. One of our main results is to describe how Weyl rods are traversable horizons and the entirety of the spacetime can be mapped out. We review Weyl techniques and as examples we systematically discuss properties of a variety of solutions including Kerr-Newman black holes, black rings, expanding bubbles, and recent spacelike-brane solutions. Families of solutions will share qualitatively similar cards. In addition we show how card diagrams not only capture information about a geometry but also its analytic continuations by providing a geometric picture of analytic continuation. Weyl techniques are generalized to higher dimensional charged solutions and applied to generate perturbations of bubble and S-brane solutions by Israel-Khan rods. This paper is a condensed and simplified presentation of the card diagrams in hep-th/0409070.