Topology of the Universe and Global Structure
Project/Area Number  09640341 
Research Category 
GrantinAid for Scientific Research (C).

Section  一般 
Research Field 
素粒子・核・宇宙線

Research Institution  TOKYO INSTITUTE OF TECHNOLOGY 
Principal Investigator 
HOSOYA Akio Tokyo Institute of Technology, Professor, 理工学研究科, 教授 (80028258)

CoInvestigator(Kenkyūbuntansha) 
ISHIHARA Hideki Tokyo Institute of Technology, Associate professor, 理工学研究科, 助教授 (80183739)

Project Fiscal Year 
1997 – 1999

Project Status 
Completed(Fiscal Year 1999)

Budget Amount *help 
¥1,800,000 (Direct Cost : ¥1,800,000)
Fiscal Year 1999 : ¥600,000 (Direct Cost : ¥600,000)
Fiscal Year 1998 : ¥500,000 (Direct Cost : ¥500,000)
Fiscal Year 1997 : ¥700,000 (Direct Cost : ¥700,000)

Keywords  singulacty / wave propagation / domain wall / topology / enhomogeneous univese / gravitational lens / 特異点 / 波動 / ドメインウオール / トポロジー / 非一様宇宙 / 重力レンズ / 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 
Research Abstract 
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 welldefined 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 NambuGoto type. (2) We have studied the propagation of light in an inhomogeneous universe model and studies the effect of inhomogeneities to the distance and redshift.

Report
(5results)
Research Output
(22results)