Topology of the Universe and Global Structure

宇宙拓扑和全球结构

• 批准号: 09640341
• 负责人: HOSOYA Akio
• 金额: $ 1.15万
• 依托单位: TOKYO INSTITUTE OF TECHNOLOGY
• 依托单位国家: 日本
• 项目类别: Grant-in-Aid for Scientific Research (C)
• 财政年份: 1997
• 资助国家: 日本
• 起止时间: 1997 至 1999
• 项目状态: 已结题
• 来源: https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-09640341/
• 关键词: singulacty; wave propagation; domain wall; topology; enhomogeneous univese; gravitational lens; 自己共役拡大; 大局的因果構造; ドメインウォール; 重力波; ビアンキ宇宙; コンパクト; サ-ストン分類; くりこみ群; 位相欠陥

Akio Hosoya :(1) We have studied the classification of compact and homogeneous universe models based on Thurston's theorem and developed the Hamiltonian description of thecuravature and Teichmuller parameters.(2) We applied the renormalization group equation to the Einstein equation with dust matter and studied the renormalization group flow near the fixed point.(3) We calculated the effect of diffraction and interference of gravitational wave by a rotating massive star and found that the image shifts by a distance proportional to the specific angular momentum of the rotating lens.(4) We have developed a theory in which we probe timelike singularities by finite energy wave packet and showed that most of the known naked singularities are actually harmless. Namely, the wave propagation is perfectly well-defined in that spacetime.Hideki Ishihara :(1) The dynamics of domain wall and graviational wave has been studied and it is found that the degrees of freedom of gravitational wave is completely absorbed bt the domain wall in the case of the Nambu-Goto type.(2) We have studied the propagation of light in an inhomogeneous universe model and studies the effect of inhomogeneities to the distance and red-shift.

细谷昭夫：（1）我们研究了基于Thurston定理的紧致宇宙模型和均匀宇宙模型的分类，并发展了曲率和Teichmuller参数的Hamilton描述。(2)将重整化群方程应用于含尘埃物质的爱因斯坦方程，研究了不动点附近的重整化群流。(3)我们计算了旋转的大质量星星对引力波的衍射和干涉效应，发现像移动的距离与旋转透镜的特定角动量成正比。(4)我们发展了一个理论，在这个理论中，我们用有限能量波包探测类时奇点，并证明了大多数已知的裸奇点实际上是无害的。石原秀树：（1）研究了畴壁和引力波的动力学，发现在Nambu-Goto型情况下，引力波的自由度完全被畴壁吸收。(2)研究了光在非均匀宇宙模型中的传播，研究了非均匀性对距离和红移的影响。

项目成果

Hideki Ishihara: "Bubble wall Perturbations Couples with Gravitational Waves" Phys.Rev.D56. 3446-3458 (1997)

Hideki Ishihara：“气泡壁扰动与引力波耦合”Phys.Rev.D56。

Akio Hosoya: "Renormalization Group Approach to Einstein Equation in Cosmology" Phys.Rev.D57. D57. 3340-3350 (1998)

Akio Hosoya：“宇宙学中爱因斯坦方程的重正化群方法”Phys.Rev.D57。

Masayuki Tanimoto: "Hamiltonian structures for compact homogeneous universes"J.Math.Phys.. 38-12. 6560-6577 (1997)

Masayuki Tanimoto：“致密均匀宇宙的哈密尔顿结构”J.Math.Phys.. 38-12。

Akihiro Ishibashi: "Equation of motion for a domain wall coupled to gravitational field"Physical Review D. 60. 124016-1-9 (1999)

Akihiro Ishibashi：“耦合到引力场的畴壁的运动方程”物理评论 D. 60. 124016-1-9 (1999)

A.Ishibashi,A.Hosoya: "Who's afraid of naked singularities ? Probing timelilo singulaities with finito energy"Physical Review. D60. 1-12 (1999)

A.Ishibashi，A.Hosoya：“谁害怕裸奇点？用有限能量探索时间奇点”物理评论。