标题： beyond 史瓦西：球对称度规的新脉动坐标 显示英文标题

标题： Beyond Schwarzschild: New Pulsating Coordinates for Spherically Symmetric Metrics

摘要： 从球对称度规的一般变换出发，其中 \(g_\{11\} = -1/g_\{00\}\)，我们分析了具有常立体角元素共形平坦性质的坐标。有三种一般可能性：一种是乌龟坐标作为唯一解出现；另一种包含了克鲁斯卡尔-塞泽雷斯坐标作为一个非常特殊的例子，但也允许其他类似的变换；最后是一组具有与前两者完全不同性质的新坐标。特别是，这以紧凑的形式表示了球对称度规的任意因果区域。我们以史瓦西情况为例进行了一些关系分析，但同时也对比了新提出的脉动坐标下的宇宙学德西特和反德西特解。 显示英文摘要

摘要： Starting from a general transformation for spherically symmetric metrics where g\_11=-1/g\_00, we analyze coordinates with the common property of conformal flatness at constant solid angle element. Three general possibilities arise: one where tortoise coordinate appears as the unique solution, other that includes Kruskal-Szekeres coordinates as a very specific case, but that also allows other similar transformations, and finally a new set of coordinates with very different properties than the other two. In particular, this represents any causal patch of the spherically symmetric metrics in a compactified form. We analyze some relations, taking the Schwarzschild case as prototype, but also contrasting the cosmological de-Sitter and Anti-de-Sitter solutions for the new proposed pulsating coordinates.