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Study on equations of motion for relativistic compact binaries

Research Project

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
Project Status Completed (Fiscal Year 2010)
Budget Amount *help
¥3,510,000 (Direct Cost: ¥2,700,000、Indirect Cost: ¥810,000)
Fiscal Year 2010: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Fiscal Year 2009: ¥260,000 (Direct Cost: ¥200,000、Indirect Cost: ¥60,000)
Fiscal Year 2008: ¥2,210,000 (Direct Cost: ¥1,700,000、Indirect Cost: ¥510,000)
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 / 理論天文学 / 一般相対論
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.

Report

(4 results)
  • 2010 Annual Research Report   Final Research Report ( PDF )
  • 2009 Annual Research Report
  • 2008 Annual Research Report
  • Research Products

    (20 results)

All 2010 2009 2008 Other

All Journal Article (10 results) (of which Peer Reviewed: 10 results) Presentation (8 results) Remarks (2 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

    • Related Report
      2010 Final Research Report
    • Peer Reviewed
  • [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

      Volume: 82

    • Related Report
      2010 Annual Research Report
    • 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

    • NAID

      10026422061

    • Related Report
      2010 Final Research Report
    • 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

    • Related Report
      2010 Final Research Report
    • 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

    • Related Report
      2010 Final Research Report
    • 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

    • Related Report
      2009 Annual Research Report
    • 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

    • Related Report
      2009 Annual Research Report
    • 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

      Pages: 1373-1374

    • NAID

      10026422061

    • Related Report
      2009 Annual Research Report
    • 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

    • Related Report
      2010 Final Research Report
    • Peer Reviewed
  • [Journal Article] Equations of Motion in General Relativity of a Small Charged Black Hole2008

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

      Physical Review D 78

    • Related Report
      2008 Annual Research Report
    • 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
    • Related Report
      2010 Final Research Report
  • [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
    • Year and Date
      2010-03-23
    • Related Report
      2009 Annual Research Report
  • [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
    • Related Report
      2010 Final Research Report
  • [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
    • Place of Presentation
      東京
    • Year and Date
      2009-03-30
    • Related Report
      2008 Annual Research Report
  • [Presentation] A method to measure a relative transverse velocity of a sourc e-lens-observer system using gravitational lensing of gravitati anal waves2009

    • Author(s)
      伊藤洋介
    • Organizer
      The 1^<st> GCOE international symposium
    • Place of Presentation
      仙台
    • Year and Date
      2009-03-06
    • Related Report
      2008 Annual Research Report
  • [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
    • Related Report
      2010 Final Research Report
  • [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
    • Related Report
      2010 Final Research Report
  • [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
    • Year and Date
      2008-09-11
    • Related Report
      2008 Annual Research Report
  • [Remarks] ホームページ等

    • Related Report
      2010 Final Research Report
  • [Remarks]

    • URL

      http://www.astr.tohoku.ac.jp/~yousuke/

    • Related Report
      2010 Annual Research Report

URL: 

Published: 2008-04-01   Modified: 2016-04-21  

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