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Determination of Cosmological Constant by Statistical Lens and Effect of Inhomogeneities of the Universe on the Cosmic Age

Research Project

Project/Area Number 07640366
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 InstitutionTOHOKU UNIVERSITY

Principal Investigator

FUTAMASE Toshifumi  Tohoku University, Graduate School of Science, Professor, 大学院・理学研究科, 教授 (20209141)

Co-Investigator(Kenkyū-buntansha) KASAI Masumi  Hirosaki University, Department of Physics, Associate Professor, 理学部, 助教授 (30204358)
Project Period (FY) 1995 – 1996
Project Status Completed (Fiscal Year 1996)
Budget Amount *help
¥2,200,000 (Direct Cost: ¥2,200,000)
Fiscal Year 1996: ¥1,000,000 (Direct Cost: ¥1,000,000)
Fiscal Year 1995: ¥1,200,000 (Direct Cost: ¥1,200,000)
KeywordsGravitational Lens / Giant Luminous Arc / cB58 / Averaging / cB58 / 増光バイアス / 非一様宇宙モデル
Research Abstract

Giant luminous arcs has been known as gravitational lens phenomena due to cluster of galaxies. However there is a big discrepancy between theoretical prediction of the expected number and the observed number of the arcs in a certain number of the cluster of goalaxies. We have claculated the expected number of arcs based on the recent observation of distant galaxies. The expected number we have obtained is much more than the previous estimate, but is still less than the observed one. However according our calculation we have obtained a feeling that it is not impossible to agree with the observed number if we improved mass distribution for the cluster and include the cosmological constant.
We pointed out a new new lensing phenomena due to cluster of galaxy which is distored much, but is very much magnified. We show that a certain restriction on the cosmological parameters, in particular cosmological constant, is obtained using this kind of lensing. As an example of this kind of phenomena, we analyze cB58 and obtained a restriction on the cosmological constant.
We have also proposed two different methods to average Einstein equation to construct locally inhomogeneous universe model. The method is applied to derive the graviational lens equation in a realistic cosmological circumstances.

Report

(3 results)
  • 1996 Annual Research Report   Final Research Report Summary
  • 1995 Annual Research Report
  • Research Products

    (27 results)

All Other

All Publications (27 results)

  • [Publications] T.Hamana,K.Futamaie,T.Futamase,M.Kasai: "Commeuts on the Amplification Biao in Lens Statitice" Mouthly Notices of Royal astr.Society. (印刷中). (1997)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1996 Final Research Report Summary
  • [Publications] T.Hamana,T.Futamase: "Statistics of Giaut Luminous Arcs Based on Canada Frauce Redseifi Suruey" Mouthly Notices of Royal astr.Society. (印刷中). (1997)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1996 Final Research Report Summary
  • [Publications] S.Wajima,H.Kasai,T.Futamaie: "Post-Nowtouian Effzets of Grauity on Quantum lutevferometen" Physical Revicw D. 55. 1964-1970 (1996)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1996 Final Research Report Summary
  • [Publications] T.Futamase: "Averaging of a Locclly lnhomogeueous Universe" Physical Revicw D. 53. 681-689 (1996)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1996 Final Research Report Summary
  • [Publications] H.Asada,M.Shibata,T.Futamase: "Poot-Newtouien apputximation in 3+1 formalrsm" Pcogress of Fleovetical Physics. 96. 81-111 (1996)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1996 Final Research Report Summary
  • [Publications] T.Futamase: "On the validity of the cosmoloeical Laus Eguation" Pcogress of Fleovetical Physics. 93. 647-650 (1995)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1996 Final Research Report Summary
  • [Publications] 松田卓也,二間瀬敏史: "なっとくする相対性理論" 講談社, 222 (1996)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1996 Final Research Report Summary
  • [Publications] T.Hamana, K.Futamase, T.Futamase, M.Kasai: "Comments on the Amplification Bias in Lens Statistics" Monthly Notices of Royal astr.Society. (in press). (1997)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1996 Final Research Report Summary
  • [Publications] T.Hamana, T.Futamase: "Statistics of Giant Luminous Arcs Based on the Canada-France Redshift Survey" Monthly Notices of Royal astr.Society. (in press). (1997)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1996 Final Research Report Summary
  • [Publications] S.Wajima, M.Kasai, T.Futamase: "Post-Newtonian Effects of Gravity on Quantum Interferometer" Physical Review D. Vol.55. 1964-1997 (1997)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1996 Final Research Report Summary
  • [Publications] T.Futamase: "Averaging of Locally Inhomogeneous Universe" Physical Review D. Vol.53. 681-689 (1996)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1996 Final Research Report Summary
  • [Publications] H.Russ.M.Morita, M.Kasai: "Zeldovich Type Approximation for an Inhomogeneous Universe" Physical review D. Vol.53. 6881-6888 (1996)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1996 Final Research Report Summary
  • [Publications] H.Asada, M.Shibata, T.Futamase: "Post-Newonian Approximation in 3+1 formalism" Progress of Theoretical Physics. Vol.96. 81-112 (1996)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1996 Final Research Report Summary
  • [Publications] T.Futamase, M.Hotta, H.Inoue, M.Yamaguchi: "Geometric Bremsstrahlung in the Early Universe" Progress of Theoretical Physics. Vol.96. 113-123 (1996)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1996 Final Research Report Summary
  • [Publications] T.Futamase: "On the Validity of Cosmological Lens Equation in General Relativity" Progress of Theoretical Physics. Vol.93. 647-650 (1995)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1996 Final Research Report Summary
  • [Publications] M.Kasai: "Tetrad-Based Perturbation Approach to Inhomogeneous Cosmology" Physical Review D. Vol.52. 5605-5611 (1995)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1996 Final Research Report Summary
  • [Publications] S. Wajima, M. Kasai, T. Futamase: "Post -New Tocan effects of gravity on quantum interferanetry-" Physical Review D. 55. 1964-1970 (1997)

    • Related Report
      1996 Annual Research Report
  • [Publications] T. Futamase: "Auevafing of a locally inlvewogeneous universe" Physical Review D. 53. 681-689 (1996)

    • Related Report
      1996 Annual Research Report
  • [Publications] H. Russ: "Zeldovich-type approximation for an inhomegenertus universe" Physical Review D. 53. 6881-6888 (1996)

    • Related Report
      1996 Annual Research Report
  • [Publications] T. Futamase: "Geometric Bremmsstrahlung in the Eavly Univerce" Progress of Theoverical Phypics. 96. 112-123 (1996)

    • Related Report
      1996 Annual Research Report
  • [Publications] H. Asada, M. Shibata, T. Futamase: "Post-New Tprian approximation in 3tl formalism" Progress of Theovetical Physics.96. 81-111 (1996)

    • Related Report
      1996 Annual Research Report
  • [Publications] T. Futamase: "On the ualidity of the Cosmological Lens equation" Progress of Theovetical Physics. 93. 647-650 (1995)

    • Related Report
      1996 Annual Research Report
  • [Publications] 松田貞也,二間瀬敏史: "なっとくする相対性理論" 講談社, 222 (1996)

    • Related Report
      1996 Annual Research Report
  • [Publications] T.Futamase: "On the validity of Cosmologial Lens Equatioon" Progress of Theeve tical Physics. 93. 647-650 (1995)

    • Related Report
      1995 Annual Research Report
  • [Publications] M. Kasai: "Tetrad Based Perturbation Approach to luhomogeueous Cosmology" Physical Reviaw D. 52. 5605-5611 (1995)

    • Related Report
      1995 Annual Research Report
  • [Publications] S. Yoshida, Y. Eriguchi, T. Futamase: "Quai-nonwal Mode of Boson Stacs" Physical Review D. 50. 6235-6245 (1994)

    • Related Report
      1995 Annual Research Report
  • [Publications] T. Futamase: "Relativistic Cosmology" University Academic Press, 11 (1994)

    • Related Report
      1995 Annual Research Report

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Published: 1995-04-01   Modified: 2016-04-21  

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