论文标题
球形视野的结构稳定性
Structural stability of spherical horizons
论文作者
论文摘要
本文涉及球形视野的结构稳定性。这是指相对于相应微分方程的第二个成员的变化的稳定性，这对应于将操作员二次构成的贡献。我们以通常的二阶方法（自变量是时空度量）和一阶（其中自变量是时空度量标准和连接字段）进行的。在二阶情况下，据称，渐近状态（大半径）中的通用解决方案不仅可以与具有水平的通常的解决方案（例如Schwarzschild-de Sitter）匹配，而且更通用（从某种意义上说，它取决于更任意的参数）无用的解决方案。然而，值得注意的是，这些无水平的解决方案在{\ em限制}中（即，当背景连接是公制的一阶方法）中不存在。
This paper is concerned with the structural stability of spherical horizons. By this we mean stability with respect to variations of the second member of the corresponding differential equations, corresponding to the inclusion of the contribution of operators quadratic in curvature. This we do both in the usual second order approach (in which the independent variable is the spacetime metric) and in the first order one (where the independent variables are the spacetime metric and the connection field). In second order, it is claimed that the generic solution in the asymptotic regime (large radius) can be matched not only with the usual solutions with horizons (like Schwarzschild-de Sitter) but also with a more generic (in the sense that it depends on more arbitrary parameters) horizonless family of solutions. It is however remarkable that these horizonless solutions are absent in the {\em restricted} (that is, when the background connection is the metric one) first order approach.
