Formation of Density Fluctuation and Spacetime structure in Extended Inflation Model

扩展暴胀模型中密度涨落与时空结构的形成

• 批准号: 05640449
• 负责人: SATO Katsuhiko
• 金额: $ 1.34万
• 依托单位: The University of Tokyo
• 依托单位国家: 日本
• 项目类别: Grant-in-Aid for General Scientific Research (C)
• 财政年份: 1993
• 资助国家: 日本
• 起止时间: 1993 至 1994
• 项目状态: 已结题
• 来源: https://kaken.nii.ac.jp/en/grant/KAKENHI-PROJECT-05640449/
• 关键词: Cosmology; Wormholes; Texture; Regge Caliculus; テキスチヤ; インフレーション宇宙; ワームホール; 位相欠陥

The Inflationary Universe Model was greatly supported by the discovery of the fluctuations in cosmic background radiation by COBE,since the spectrum was just the same one predicted by this model. This model, however, still have some theoretical problems. In the present work, first we investigated by what conditions cosmic no hair conjecture holds, by using Regge Calculus Method. We found some constraints on the initial condition for inflation in homogeneous and anisotropic model, and now are extending this method to inhomogeneous model. Second, we investigated generation of the density fluctuations by global texture which is expected to be formed in early universe by phase transition of vacuum. We found it has a power law spectrum with non Gaussian fluctuations. Third we investigated the condition of formation of wormholes by phase transition of vacuum, and their evolution. We found traversable wormholes can exist in expanding universe in spite that weak energy condition is satisfied. This research was done as collaboration with M.Nagasawa, Y.Furihata and K.Narahara.

暴胀宇宙模型得到了COBE发现的宇宙背景辐射涨落的极大支持，因为它的光谱与暴胀宇宙模型预测的光谱完全相同。然而，这一模型仍存在一些理论问题。本文首先利用Regge微积分方法研究了宇宙无毛猜想成立的条件。我们在齐次各向异性模型中发现了对暴胀初始条件的一些限制，现在正在将这种方法推广到非齐次模型中。其次，我们研究了宇宙早期真空相变可能形成的整体织构对密度涨落的影响。我们发现它有一个非高斯起伏的幂律谱。第三，研究了真空相变形成虫洞的条件及其演化。我们发现，在膨胀宇宙中，即使满足弱能量条件，也可以存在可穿越的虫洞。本研究是与M.Nagasawa、Y.Furihata和K.Narahara合作完成的。

项目成果

Y.Furihata,K.Sato: "Regge Calculus Model of Bianchi IX Inflation" Classical and Quantuon Grarity. 10. 1147-1156 (1993)

Y.Furihata，K.Sato：“Bianchi IX 膨胀的雷格微积分模型”经典和量子引力。

Y.Furihata,K.Sato: "Regge Calculus Approach of Bianchi IX Inflation" Classical and Guantum Gravity. 10. 1147-1156 (1993)

Y.Furihata，K.Sato：“Bianchi IX 膨胀的雷格微积分方法”经典和关图引力。

Y.Furihata, K.Sato: "Regge Calculus Model of Bianchi IX Inflation" Classicel and Quantum Grarity. 10. 1147-1156 (1993)

Y.Furihata、K.Sato：“Bianchi IX 膨胀的雷格微积分模型”经典和量子重力。

K.Narahara,Y.Furuhata,K.Sato: "Traversable Woronholes in Expanding Universe" Phys.Lett.B336. 319-323 (1994)

K.Narahara、Y.Furuhata、K.Sato：“膨胀宇宙中可穿越的沃伦洞”Phys.Lett.B336。

N.Nagasawa,K.Sato,J.Yokoyama: "Statistical Properties of Fluctuations produced by Global Textures" Pub.Astron,Soc.Japan. 45. 755-760 (1993)

N.Nagasawa、K.Sato、J.Yokoyama：“全局纹理产生的波动的统计特性”Pub.Astron，Soc.Japan。