Theoretical Foundation for Observational Cosmology

观测宇宙学的理论基础

• 批准号: 01540226
• 负责人: FUTAMASE Toshifumi
• 金额: $ 1.28万
• 依托单位: Hirosaki University
• 依托单位国家: 日本
• 项目类别: Grant-in-Aid for General Scientific Research (C)
• 财政年份: 1989
• 资助国家: 日本
• 起止时间: 1989 至 1990
• 项目状态: 已结题
• 来源: https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-01540226/
• 关键词: Global structure; Inhomogeneity; General Relativity; Spatial averaging; Distance-redshift; Gravitational lenses; 減宙の大域的構造; 距離一赤方偏移関係; 非一様宇宙; ポスト・ニュ-トン近似; 距離-赤方偏移関係

Global structure of the universe is described by the Robertson-Walker spacetime. However the real universe has inhomogeneities in various scales. It has been a long-standing problem how these inhomogeneities may be described in the framework of general relativity. Our research solves this problem by introducing the spatial averaging process and applying the post-Newtonian approximation. This provides the first approximation scheme for constructing the metric of realistic universe.Using this scheme we investigated the propagation of light rays and uncertainties in the definition of the distance-redshift relation which has the fundamental importance in the observational cosmology. We also investigated numerically how local inhomogeneities affect the propagation of light rays. g to these studies it is shown that the distance usually used in the literature is not always appropriate in certain situations.We also studied gravitational lenses and proposed a new method to determine the cosmological constant.The density parameter is one of the most important parameters to determine the global structure of the universe. We obtained a relation between the density parameter and the peculiar velocity of galaxies in highly nonlinear region for an one-dimensional density distribution.

宇宙的全球结构由Robertson-Walker时空描述。但是，真实的宇宙在各种规模上具有不均匀性。这是一个长期存在的问题，如何在一般相对论的框架中描述这些不均匀性。我们的研究通过引入空间平均过程并应用牛顿后近似来解决这个问题。这提供了构建现实宇宙指标的第一个近似方案。使用该方案，我们研究了光线和不确定性在距离红外关系的定义中的传播，这在观察性宇宙学中具有基本重要性。我们还通过数值研究了局部不均匀性如何影响光线的传播。对于这些研究，g表明，在某些情况下，文献中通常使用的距离并不总是合适的。我们还研究了重力透镜，并提出了一种确定宇宙常数的新方法。密度参数是最重要的参数之一。确定宇宙的全球结构。我们获得了高度非线性区域中星系的密度参数与特殊速度之间的关系，以进行一维密度分布。

项目成果

S.Bildhauer: "The cosmic microwave background in a globally inhomogeneous univeres" Monthly Notices of Royal Astronomical Society.

S.Bildhauer：“全球不均匀宇宙中的宇宙微波背景”皇家天文学会月刊。

T.Futamase: "Light propagation and the distanceーredshift relation in a realistic inhomogenous universe" Physical Review,D. 40. 2502-2510 (1989)

T.Futamase：“现实非均匀宇宙中的光传播和距离-红移关系”《物理评论》，D. 40. 2502-2510 (1989)

T.Futamase: "Light propagation and the distanceーredshift relation in a realistic inhomopgeneous univeres" Pkysical Review,D. 40. 2502-2510 (1989)

T.Futamase：“现实的非均质宇宙中的光传播和距离-红移关系”Pkysical Review，D. 40. 2502-2510 (1989)

M. Kasai, T. Futamase: "Angular diameter distance in a clumy universe" Physics Letters. A, 47. 97-105 (1990)

M. Kasai、T. Futamase：“笨拙宇宙中的角直径距离”《物理快报》。

H.Shinohe: "A relation between peculiar velocity and density parameter in the oneーdimensional inhomogeneous universe" Progress of Theoretical Physics. 83. 350-352 (1990)

H.Shinohe：“一维非均匀宇宙中奇特速度与密度参数之间的关系”理论物理进展 83. 350-352 (1990)。