标题： 宇宙常数为 Robinson-Trautman 辐射时空的全局结构 显示英文标题

标题： Global structure of Robinson-Trautman radiative space-times with cosmological constant

摘要： 罗宾逊-特劳特曼具有非零宇宙常数Lambda和质量参数m>0的II型辐射时空使用分析方法进行研究。 它们在大延迟时间下趋于相应的球对称施瓦茨希尔德-德西特或施瓦茨希尔德-反德西特解。 它们的全局结构被分析，并表明与Lambda=0的情况相比，当Lambda>0时，度规在视界处的光滑性增加，而当Lambda<0时，光滑性降低。 对于极端情况9Lambda m^2=1，扩展是光滑的但不是解析的。 这种情况似乎是第一个光滑但非解析的视界的例子。 具有Lambda>0的模型在存在引力波的情况下明确展示了宇宙无发猜想。 显示英文摘要

摘要： Robinson-Trautman radiative space-times of Petrov type II with a non-vanishing cosmological constant Lambda and mass parameter m>0 are studied using analytical methods. They are shown to approach the corresponding spherically symmetric Schwarzschild-de Sitter or Schwarzschild-anti-de Sitter solution at large retarded times. Their global structure is analyzed, and it is demonstrated that the smoothness of the extension of the metrics across the horizon, as compared with the case Lambda=0, is increased for Lambda>0 and decreased for Lambda<0. For the extreme value 9Lambda m^2=1, the extension is smooth but not analytic. This case appears to be the first example of a smooth but not analytic horizon. The models with Lambda>0 exhibit explicitly the cosmic no-hair conjecture under the presence of gravitational waves.