论文标题

渐近de Sitter的共形边界的较高基本形式

Higher fundamental forms of the conformal boundary of asymptotically de Sitter spacetimes

论文作者

Gover, A. Rod, Kopiński, Jarosław

论文摘要

我们通过得出将应激能量张量与共同几何数据的渐近性的约束来提供了渐近自在的空间的共形无穷大的部分表征。后者是使用最近定义的对象捕获的,称为较高的保形基本形式。对于边界高度表面,这些将其推广到更高阶的第二形式的无痕迹部分。

We provide a partial characterization of the conformal infinity of asymptotically de Sitter spacetimes by deriving constraints that relate the asymptotics of the stress-energy tensor with conformal geometric data. The latter is captured using recently defined objects, called higher conformal fundamental forms. For the boundary hypersurface, these generalize to higher order the trace-free part of the second form.

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