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Topology of the Universe and Global Structure

Research Project

Project/Area Number 09640341
Research Category

Grant-in-Aid for Scientific Research (C)

Allocation TypeSingle-year Grants
Section一般
Research Field 素粒子・核・宇宙線
Research InstitutionTOKYO INSTITUTE OF TECHNOLOGY

Principal Investigator

HOSOYA Akio  Tokyo Institute of Technology, Professor, 理工学研究科, 教授 (80028258)

Co-Investigator(Kenkyū-buntansha) ISHIHARA Hideki  Tokyo Institute of Technology, Associate professor, 理工学研究科, 助教授 (80183739)
Project Period (FY) 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)
Keywordssingulacty / 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
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 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.

Report

(4 results)
  • 1999 Annual Research Report   Final Research Report Summary
  • 1998 Annual Research Report
  • 1997 Annual Research Report
  • Research Products

    (22 results)

All Other

All Publications (22 results)

  • [Publications] Masayuki Tanimoto: "Hamiltonian structures for compact homogeneous universes"Journal of Mathematical Physics. 38-12. 6560-6577 (1997)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1999 Final Research Report Summary
  • [Publications] Osamu Iguchi: "Renormalization group approach to the Einstein equation in cosmology"Physical Review D. 57-6. 3340-3350 (1998)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1999 Final Research Report Summary
  • [Publications] Christian Baraldo: "Gravitationally induced interference of gravitational waves by a rotating massive object"Physical Review D. 59. 083001-1-8 (1999)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1999 Final Research Report Summary
  • [Publications] Akihiro Ishibashi: "Who's afraid of naked singuralities ? Probing timelike singularities with finite energy waves"Physical Review D. 60. 101028-1-12 (1999)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1999 Final Research Report Summary
  • [Publications] Akihiro Ishibashi: "Equation of motion for a domain wall coupled to gravitational field"Physical Review D. 60. 124016-1-9 (1999)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1999 Final Research Report Summary
  • [Publications] N.Sugiura: "How do Noalinear Voids Affect Light Propagation?"Progress of Theoretical Physics. 103. 73-89 (2000)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1999 Final Research Report Summary
  • [Publications] Masayuki Tanimoto: "Hamiltonian structures for compact homogeneous universes"J.Math.Phys.. 38-12. 6560-6577 (1997)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1999 Final Research Report Summary
  • [Publications] Osamu lguchi: "Renormalization group approach to the Einstein equation in cosmology"phys.Rev.D. 57-6. 3310-3350 (1998)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1999 Final Research Report Summary
  • [Publications] Christian Baraldo: "Gravitationally induced interference of gravitational waves by a rotating massive object"Phys.Rev.D. 59. 083001-1-8 (1999)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1999 Final Research Report Summary
  • [Publications] Akihiro Ishibashi: "Who's afraid of naked singuralities? Probing time like singularities with finite energy waves"Phys.Rev.D. 60. 104028-1-12 (1999)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1999 Final Research Report Summary
  • [Publications] Akihiro Ishibashi: "Equation of motion for a domain wall coupled to gravitational Field"Phys.Rev.D. 60. 124016-1-9 (1999)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1999 Final Research Report Summary
  • [Publications] N.Sugiura: "How do Nonlinear Voids Affect Light Propagation?"Prog.Thear.Phys.. 103. 73-89 (2000)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1999 Final Research Report Summary
  • [Publications] A.Ishibashi,A.Hosoya: "Who's afraid of naked singularities ? Probing timelilo singulaities with finito energy"Physical Review. D60. 1-12 (1999)

    • Related Report
      1999 Annual Research Report
  • [Publications] A.Ishibashi & H.Ishihara: "Equation of motion for a domain wall coupled to gravitational field"Physical Review. D60. 124016 (1999)

    • Related Report
      1999 Annual Research Report
  • [Publications] N.Sugiura,K.Nakao,D.Ida,N.Sakai & H.Ishihara: "How Do Nonlinear Voids Affect Light Propagation ?"Prog.Theor.Phys.. 103. 73 (2000)

    • Related Report
      1999 Annual Research Report
  • [Publications] C.Baraldo, A.Hosoya and T.Nakamura: "Gravitationally Lensing of Gravitatioal Waves by a Massive Rotating Object." Physical Review D. (to be published 1999).

    • Related Report
      1998 Annual Research Report
  • [Publications] A.Ishibashi and A.Hosoya: "Who is afraid of Naked Singularities?" submited to Physical Review D.

    • Related Report
      1998 Annual Research Report
  • [Publications] A.Ishibashi and H.Ishihara: "Equation of motion for a domain wall coupled to gravitational field" Physical Review D. (to be published 1999).

    • Related Report
      1998 Annual Research Report
  • [Publications] Akio Hosoya: "Renormalization Group Approach to Einstein Equation in Cosmology" Phys.Rev.D57. D57. 3340-3350 (1998)

    • Related Report
      1997 Annual Research Report
  • [Publications] Akio Hosoya: "Hamiltonian Structures for Compact Homogeneous Universes" J.Math.Phys.38. 6560-6577 (1997)

    • Related Report
      1997 Annual Research Report
  • [Publications] Akio Hosoya: "Black Hole Radiation inside Apparent Horizon in Quantum Gravity" Prog.Theor.Phys.97. 233-242 (1997)

    • Related Report
      1997 Annual Research Report
  • [Publications] Hideki Ishihara: "Bubble wall Perturbations Couples with Gravitational Waves" Phys.Rev.D56. 3446-3458 (1997)

    • Related Report
      1997 Annual Research Report

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Published: 1997-04-01   Modified: 2016-04-21  

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