标题： 任意拓扑的1+1引力解 显示英文标题

标题： Solutions of arbitrary topology in 1+1 gravity

摘要： 我们对广义二维稀疏子引力模型（洛伦兹符号）的所有全局解进行了分类。 虽然对于拉格朗日量中一些常见的类似势能项的选择，例如描述弦启发的稀疏子引力或球对称约化的引力，所得到时空的可能拓扑受到严格限制，但我们发现对于这些“势能”的一般选择，在所有非紧致二维曲面上都存在最大扩展的场方程解。 显示英文摘要

摘要： We present a classification of all global solutions for generalized 2D dilaton gravity models (with Lorentzian signature). While for some of the popular choices of potential-like terms in the Lagrangian, describing, e.g., string inspired dilaton gravity or spherically reduced gravity, the possible topologies of the resulting spacetimes are restricted severely, we find that for generic choices of these `potentials' there exist maximally extended solutions to the field equations on all non-compact two-surfaces.