Structure Formation due to Spatial Curvature Perturbations in the Universe

研究星系和星系团的结构形成理论与观测宇宙背景辐射各向异性之间的相互关系是最重要的工作之一。在通过COBE测量检测到温度波动后，这项研究进入了新的发展阶段。在本研究项目中，我从事了以下文章。在1992财政年度，我注意到了由一阶不规则空间曲率引起的二次密度扰动，并分析了它们的行为，以避免理论与观测之间的矛盾。这一结果和其他关于温度涨落的研究表明，这种微扰对小尺度不规则性起到了作用。在1993财政年度，我继续研究了上述密度微扰和反牛顿近似下非齐次宇宙学模型的推导。此外，我还开展了以下两项工作：1.研究上述密度扰动的观测意义，高红移类星体大尺度聚集的引力透镜效应，以及背景高红移类星体的前景星系的掩蔽效应和尘埃遮蔽。高红移天体与引力透镜效应座谈会(1993年12月6-8日在汤川遥菜理论物理研究所Uji研究中心举行)。我们大约有25名参与者。由于会议是在MARCHO(新的引力透镜物体)发现后举行的，与会者非常兴奋，并进行了认真的讨论。这次座谈会意义重大。

It is one of the most important works to study the mutual relation between the theories of structure formation (for galaxies and clusters of galaxies) and the observation of anisotropy of the cosmic background radiation. After the detection of the temperature fluctuation by the COBE measurement, this study has reached the stage of new development. In the present study project I engaged in the following articles. In the 1992 fiscal year I put attention to the secondary density perturbations caused by the first-order irregular spatial curvature and analyzed their behaviors, to avoid the contradiction between the theories and observation. This result and the other studies on the temperature fluctuation showed us that this perturbations play a role in the small-scale irregularities.In the 1993 fiscal year, I studied continuously the above density perturbations and the derivation of inhomogeneous cosmological models in the Anti-Newtoninan approximation. In addition, I had the following two activities :1. Studies on the observational implications of the above density perturbations, the gravitaional lens effect associated with the large-scale clustering of high-redshift QSOs, and the masking effect and dust obscuration due to foreground galaxies for the background high-redshift QSOs.2. The Colloquium on High-Redshift Objects and Gravitational Lens Effect (held in the Uji Research Center in Yukawa Institute for Theoretical Physics, on Dec.6 - 8th, 1993). We had about 25 participants. As it was held just after the discovery of MACHO(new gravitationally lensed objects), participants were much exited and earnestly discussed. This colloquium was very significant.