论文标题
生活在非平板宇宙中：理论形式主义
Living in a Non-Flat Universe: Theoretical Formalism
论文作者
论文摘要
对Planck测量结果的最新分析开辟了我们生活在非平板宇宙中的可能性。鉴于对非零空间曲率的重新兴趣，在这里，我们重新探讨了非灯塔宇宙中的光传播，并为宇宙学探针提供了规格的不变表达式：亮度距离，星系簇，弱重力透镜和宇宙微型叶子轴心素。随着空间度量的位置依赖性，非平板宇宙中的光传播比平坦的宇宙要复杂得多。考虑到所有相对论效应以及包括向量和张量的贡献，我们得出了宇宙学探针的表达式，并明确验证其仪表不变性。如果存在，我们将结果与以前的工作进行了比较，但是这项工作代表了对非平台宇宙中宇宙学探针的首次全面研究。我们在非平台宇宙中的理论形式主义将在限制即将进行的大规模调查中的空间曲率方面发挥至关重要的作用。
Recent analysis of the Planck measurements opened a possibility that we live in a non-flat universe. Given the renewed interest in non-zero spatial curvature, here we re-visit the light propagation in a non-flat universe and provide the gauge-invariant expressions for the cosmological probes: the luminosity distance, galaxy clustering, weak gravitational lensing, and cosmic microwave background anisotropies. With the positional dependence of the spatial metric, the light propagation in a non-flat universe is much more complicated than in a flat universe. Accounting for all the relativistic effects and including the vector and tensor contributions, we derive the expressions for the cosmological probes and explicitly verify their gauge invariance. We compare our results to previous work in a non-flat universe, if present, but this work represents the first comprehensive investigation of the cosmological probes in a non-flat universe. Our theoretical formalism in a non-flat universe will play a crucial role in constraining the spatial curvature in the upcoming large-scale surveys.
