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2010 Fiscal Year Final Research Report

Study on equations of motion for relativistic compact binaries

Research Project

  • PDF
Project/Area Number 20740118
Research Category

Grant-in-Aid for Young Scientists (B)

Allocation TypeSingle-year Grants
Research Field Particle/Nuclear/Cosmic ray/Astro physics
Research InstitutionTohoku University

Principal Investigator

ITOH Yousuke  Tohoku University, 大学院・理学研究科, 助教 (60443983)

Project Period (FY) 2008 – 2010
Keywords宇宙物理 / 一般相対性理論 / 運動方程式 / 重力波 / 相対論的連星系
Research Abstract

Highly accurate equations of motion for relativistic compact binaries play an essential role in direct detection of gravitational waves from relativistic compact binaries such as neutron star binaries. In this research project, using the post-Newtonian approximation, we have derived equations of motion for relativistic compact binaries through the 3.5 order accuracy in the Einstein's general relativity. These are the ones of the most accurate equations of motion ever derived using the first principle. We have also derived equations of motion for a point charge in an arbitrary electromagnetic field that is consistent with the Einstein equations by imposing that there be no line-singularity in the space-time.

  • Research Products

    (10 results)

All 2010 2009 2008 Other

All Journal Article (5 results) (of which Peer Reviewed: 5 results) Presentation (4 results) Remarks (1 results)

  • [Journal Article] Dipole anisotropy of galaxy distribution : Does the CMB rest-frame exist in the local universe?2010

    • Author(s)
      伊藤洋介、矢幡和浩、高田昌広
    • Journal Title

      Physical Review D 82巻

      Pages: "043530-1"-"043530-20"

    • Peer Reviewed
  • [Journal Article] Tidal Mechanism as an Impossible Cause of the Observed Secular Increase of the Astronomical Unit2009

    • Author(s)
      伊藤洋介
    • Journal Title

      Publications of the Astronomical Society of Japan 61巻

      Pages: 1373-1374

    • Peer Reviewed
  • [Journal Article] Third-and-a-half order post-Newtonian equations of motion for relativistic compact binaries using the strong field point particle limit2009

    • Author(s)
      伊藤洋介
    • Journal Title

      Physical Review D 80巻

      Pages: "124003-1"-"124003-17"

    • Peer Reviewed
  • [Journal Article] Method to measure a relative transverse velocity of a source-lens-observer system using gravitational lensing of gravitational waves2009

    • Author(s)
      伊藤洋介、二間瀬敏史、服部誠
    • Journal Title

      Physical Review D 80巻

      Pages: "044009-1"-"044009-10"

    • Peer Reviewed
  • [Journal Article] Equations of Motion in General Relativity of a Small Charged Black Hole2008

    • Author(s)
      二間瀬敏史、P.A.Hogan、伊藤洋介
    • Journal Title

      Physical Review D 78巻

      Pages: "104014-1"-"104014-15"

    • Peer Reviewed
  • [Presentation] 相対論的連星系の3.5次ポスト・ニュートン運動方程式の導出2010

    • Author(s)
      伊藤洋介
    • Organizer
      日本物理学会第65回年次大会
    • Place of Presentation
      岡山大学、岡山県
    • Year and Date
      2010-03-23
  • [Presentation] 重力波重力レンズ現象によるtransverse velocityの測定方法の提案2009

    • Author(s)
      伊藤洋介、二間瀬敏史、服部誠
    • Organizer
      日本物理学会第64回年次大会
    • Place of Presentation
      立教大学、東京都
    • Year and Date
      2009-03-30
  • [Presentation] Brief biased review on Gravitational Wave Astronomy with some examples including our work.2009

    • Author(s)
      伊藤洋介
    • Organizer
      The 1st GCOE international symposium
    • Place of Presentation
      東北大学、宮城県
    • Year and Date
      2009-03-05
  • [Presentation] 銀河分布とCosmic Microwave Backgroundの温度揺らぎの双極子成分2008

    • Author(s)
      伊藤洋介、矢幡和浩、高田昌広
    • Organizer
      日本天文学会
    • Place of Presentation
      岡山理科大学、岡山県
    • Year and Date
      2008-09-11
  • [Remarks] ホームページ等

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Published: 2012-02-13   Modified: 2016-04-21  

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