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多体系ダイナミクスと重力波を通じた修正重力理論の理解と検証

Research Project

Project/Area Number 15J01732
Research Category

Grant-in-Aid for JSPS Fellows

Allocation TypeSingle-year Grants
Section国内
Research Field Particle/Nuclear/Cosmic ray/Astro physics
Research InstitutionKyoto University

Principal Investigator

山田 慧生  京都大学, 理学研究科, 特別研究員(PD)

Project Period (FY) 2015-04-24 – 2018-03-31
Project Status Completed (Fiscal Year 2017)
Budget Amount *help
¥4,030,000 (Direct Cost: ¥3,100,000、Indirect Cost: ¥930,000)
Fiscal Year 2017: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000)
Fiscal Year 2016: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000)
Fiscal Year 2015: ¥1,430,000 (Direct Cost: ¥1,100,000、Indirect Cost: ¥330,000)
Keywords重力波 / 三体問題 / ブラックホール摂動 / ポストニュートン近似 / 一般相対論 / EMRI / 天体力学
Outline of Annual Research Achievements

本年度は,一般相対論及び修正重力理論における多体系ダイナミクスと重力波の理解のために,主に次の研究を行った.
1.Newton 重力における三体問題の特殊解の一として知られる Lagrange の正三角解を一般相対論的な重力場において任意の質量の三天体に対して拡張した平衡解の安定性を議論した.特に,既知の安定性解析は運動平面における摂動にのみ限定されていたことから,これを全ての可能な摂動に対する安定性の議論に拡張し,系が線形安定となる質量比に対する条件を導出した [K. Yamada & T. Tsuchiya, Celest. Mech. Dyn. Astr. 129, 487 (2017)].
2.将来的な宇宙重力波観測機 LISA の観測対象である EMRI から放出される重力波形を作成する試みに関連して,ブラックホール摂動の二次まで考慮する必要がある.これを受けて,定常軸対称な任意の Kerr ブラックホールの地平面近傍における二次摂動を議論し,見かけの発散に対するくりこみ項を導出した.また,微小な座標変換の自由度の振る舞いも議論し,正則な解を求めた.これらの結果は現在執筆準備中である.
3.ダイナミカルなChern-Simons重力理論における回転する星の作る弱い重力場を導出し,その周りを起動運動するジャイロスコープのスピン歳差を議論した.特に,関連する先行研究 [Y. Ali-Haimoud & Y. Chen, Phys. Rev. D 84, 124033 (2011)] とは異なり,重力場の関数系を予め仮定することなく多体系に拡張可能な枠組みで調査した.その結果,先行研究では考慮されていなかった新たな効果を発見した.これらの結果は現在執筆準備中である.

Research Progress Status

29年度が最終年度であるため、記入しない。

Strategy for Future Research Activity

29年度が最終年度であるため、記入しない。

Report

(3 results)
  • 2017 Annual Research Report
  • 2016 Annual Research Report
  • 2015 Annual Research Report
  • Research Products

    (30 results)

All 2018 2017 2016 2015 Other

All Int'l Joint Research (2 results) Journal Article (4 results) (of which Peer Reviewed: 4 results,  Acknowledgement Compliant: 3 results) Presentation (24 results) (of which Int'l Joint Research: 13 results)

  • [Int'l Joint Research] Montana State University(米国)

    • Related Report
      2017 Annual Research Report
  • [Int'l Joint Research] University of Southampton(英国)

    • Related Report
      2017 Annual Research Report
  • [Journal Article] The linear stability of the post-Newtonian triangular equilibrium in the three-body problem2017

    • Author(s)
      Yamada Kei、Tsuchiya Takuya
    • Journal Title

      Celestial Mechanics and Dynamical Astronomy

      Volume: 129 Issue: 4 Pages: 487-507

    • DOI

      10.1007/s10569-017-9781-9

    • Related Report
      2017 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Nonchaotic evolution of triangular configuration due to gravitational radiation reaction in the three-body problem2016

    • Author(s)
      Kei Yamada and Hideki Asada
    • Journal Title

      Physical Review D

      Volume: 93 Issue: 8 Pages: 084027-084027

    • DOI

      10.1103/physrevd.93.084027

    • Related Report
      2016 Annual Research Report
    • Peer Reviewed / Acknowledgement Compliant
  • [Journal Article] Post-Newtonian effects on the stability of the triangular solution in the three-body problem for general masses2015

    • Author(s)
      K. Yamada, T. Tsuchiya, H. Asada
    • Journal Title

      Physical Review D

      Volume: 91 Issue: 12 Pages: 124016-124016

    • DOI

      10.1103/physrevd.91.124016

    • Related Report
      2015 Annual Research Report
    • Peer Reviewed / Acknowledgement Compliant
  • [Journal Article] Application of Sturm's theorem to marginal stable circular orbits of a test body in spherically symmetric and static spacetimes2015

    • Author(s)
      T. Ono, T. Suzuki, N. Fushimi, K. Yamada, H. Asada
    • Journal Title

      Europhysics Letters

      Volume: 111 Issue: 3 Pages: 30008-30008

    • DOI

      10.1209/0295-5075/111/30008

    • Related Report
      2015 Annual Research Report
    • Peer Reviewed / Acknowledgement Compliant
  • [Presentation] Singular behavior of BH perturbations and gauge dof in the near-horizon limit2018

    • Author(s)
      Kei Yamada
    • Organizer
      YKIS2018a Symposium General Relativity - The Next Generation -
    • Related Report
      2017 Annual Research Report
    • Int'l Joint Research
  • [Presentation] Singular behavior of BH perturbations and gauge dof in the near-horizon limit2018

    • Author(s)
      山田 慧生
    • Organizer
      第二回 若手による重力・宇宙論研究会
    • Related Report
      2017 Annual Research Report
  • [Presentation] A near-horizon expansion of second-order black hole perturbations2017

    • Author(s)
      山田 慧生
    • Organizer
      日本物理学会第 72 回年次大会
    • Place of Presentation
      大阪大学豊中キャンパス(大阪市)
    • Year and Date
      2017-03-17
    • Related Report
      2016 Annual Research Report
  • [Presentation] Near-horizon Expansion of Second-order BH Perturbations2017

    • Author(s)
      Kei Yamada
    • Organizer
      20th Capra Meeting on Radiation Reaction in General Relativity
    • Related Report
      2017 Annual Research Report
    • Int'l Joint Research
  • [Presentation] Near-horizon expansion of second-order black hole perturbations2017

    • Author(s)
      Kei Yamada
    • Organizer
      Symposium on "New development in astrophysics through multi-messenger observations of gravitational wave sources"
    • Related Report
      2017 Annual Research Report
    • Int'l Joint Research
  • [Presentation] EMRI における Kerrブラックホールの地平面近傍での計量の二次摂動2017

    • Author(s)
      山田 慧生
    • Organizer
      日本天文学会2017年秋季年会
    • Related Report
      2017 Annual Research Report
  • [Presentation] BH perturbations & gauge dof in the near-horizon limit2017

    • Author(s)
      Kei Yamada
    • Organizer
      The 27th Workshop on General Relativity and Gravitation in Japan (JGRG27)
    • Related Report
      2017 Annual Research Report
    • Int'l Joint Research
  • [Presentation] Singular behaviors of gauge degrees of freedom on black hole perturbations in the near-horizon limit2017

    • Author(s)
      山田 慧生
    • Organizer
      新学術「重力波物理学・天文学:創世記」A班合宿研究会
    • Related Report
      2017 Annual Research Report
  • [Presentation] BH perturbations & gauge dof in the near-horizon limit2017

    • Author(s)
      Kei Yamada
    • Organizer
      International Symposium on Cosmology and Particle Astrophysics (CosPA 2017)
    • Related Report
      2017 Annual Research Report
    • Int'l Joint Research
  • [Presentation] BH perturbations & gauge dof in the near-horizon limit2017

    • Author(s)
      山田 慧生
    • Organizer
      第30回 理論懇シンポジウム
    • Related Report
      2017 Annual Research Report
  • [Presentation] A near-horison expansion of second-order black hole perturbations2016

    • Author(s)
      Kei Yamada
    • Organizer
      5th Annual Symposium on "New development in astrophysics through multimessenger observations of gravitational wave sources"
    • Place of Presentation
      京都大学基礎物理学研究所(京都市)
    • Year and Date
      2016-12-26
    • Related Report
      2016 Annual Research Report
    • Int'l Joint Research
  • [Presentation] Near-horizon expansion of second-order black hole perturbations2016

    • Author(s)
      山田 慧生
    • Organizer
      第 29 回 理論懇シンポジウム第 29 回 理論懇シンポジウム
    • Place of Presentation
      東北大学青葉山キャンパス(仙台市)
    • Year and Date
      2016-12-20
    • Related Report
      2016 Annual Research Report
  • [Presentation] Near-horizon expansion of second-order black hole perturbations2016

    • Author(s)
      Kei Yamada
    • Organizer
      Gravitational-Wave Astrophysics in the High Event Rate Regime
    • Place of Presentation
      東京大学本郷キャンパス(文京区)
    • Year and Date
      2016-12-05
    • Related Report
      2016 Annual Research Report
    • Int'l Joint Research
  • [Presentation] A near-horizon expansion and the second-order gravitational self-force2016

    • Author(s)
      Kei Yamada
    • Organizer
      KMI mini-workshop on General relativity in higher dimensions
    • Place of Presentation
      名古屋大学東山キャンパス(名古屋市)
    • Year and Date
      2016-11-26
    • Related Report
      2016 Annual Research Report
    • Int'l Joint Research
  • [Presentation] Near-horizon expansion of second-order black hole perturbations2016

    • Author(s)
      Kei Yamada
    • Organizer
      The 26th workshop on General Relativity and Gravitation (JGRG26)
    • Place of Presentation
      大阪市立大学杉本キャンパス(大阪市)
    • Year and Date
      2016-10-24
    • Related Report
      2016 Annual Research Report
    • Int'l Joint Research
  • [Presentation] ブラックホール地平面近傍における 2 次の計量摂動に対する境界条件2016

    • Author(s)
      山田 慧生
    • Organizer
      日本天文学会 2016 年秋季年会
    • Place of Presentation
      愛媛大学城北キャンパス(松山市)
    • Year and Date
      2016-09-14
    • Related Report
      2016 Annual Research Report
  • [Presentation] Evolution of Lagrange's orbit in the three-body problem due to gravitational radiation reaction2016

    • Author(s)
      Kei Yamada
    • Organizer
      21st International Conference on General Relativity and Gravitation (GR21)
    • Place of Presentation
      Columbia University, New York (USA)
    • Year and Date
      2016-07-10
    • Related Report
      2016 Annual Research Report
    • Int'l Joint Research
  • [Presentation] 三体問題における正三角解の重力波放射に伴う非カオス的進化2016

    • Author(s)
      山田慧生
    • Organizer
      日本物理学会 第 71 回年次大会
    • Place of Presentation
      東北学院大学 泉キャンパス(仙台市)
    • Year and Date
      2016-03-20
    • Related Report
      2015 Annual Research Report
  • [Presentation] 位置天文的連星の軌道決定に対する統計的アプローチ2016

    • Author(s)
      山田慧生
    • Organizer
      Nano-JASMINE&小型 JASMINE 合同サイエンスワークショップ
    • Place of Presentation
      国立天文台三鷹キャンパス(三鷹市)
    • Year and Date
      2016-01-27
    • Related Report
      2015 Annual Research Report
  • [Presentation] Non-chaotic evolution of Lagrange's orbit due to gravitational radiation reaction2016

    • Author(s)
      山田慧生
    • Organizer
      新学術領域「重力波天体」A05 班合同合宿
    • Place of Presentation
      KKR伊豆長岡千歳荘(伊豆長岡市)
    • Year and Date
      2016-01-07
    • Related Report
      2015 Annual Research Report
  • [Presentation] Non-chaotic evolution of Lagrange's orbit due to gravitational radiation reaction2015

    • Author(s)
      山田慧生
    • Organizer
      理論懇シンポジウム 2015
    • Place of Presentation
      大阪大学豊中キャンパス(豊中市)
    • Year and Date
      2015-12-23
    • Related Report
      2015 Annual Research Report
  • [Presentation] Non-chaotic evolution of triangular configuration due to gravitational radiation reaction in the three-body problem2015

    • Author(s)
      Kei Yamada
    • Organizer
      The 25th workshop on General Relativity and Gravitation (JGRG25)
    • Place of Presentation
      京都大学基礎物理学研究所(京都市)
    • Year and Date
      2015-12-10
    • Related Report
      2015 Annual Research Report
    • Int'l Joint Research
  • [Presentation] Non-chaotic evolution of triangular configuration due to gravitational radiation reaction in the three-body problem2015

    • Author(s)
      Kei Yamada
    • Organizer
      100 years of curved space time
    • Place of Presentation
      Austrian Academy of Sciences, Wien, Austria
    • Year and Date
      2015-10-05
    • Related Report
      2015 Annual Research Report
    • Int'l Joint Research
  • [Presentation] Post-Newtonian effects on the stability of the triangular solution in the three-body problem for general masses2015

    • Author(s)
      Kei Yamada
    • Organizer
      Fourteenth Marcel Grossmann Meeting (MG14)
    • Place of Presentation
      University of Rome "La Sapienza", Rome, Italy
    • Year and Date
      2015-07-12
    • Related Report
      2015 Annual Research Report
    • Int'l Joint Research

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Published: 2015-11-26   Modified: 2024-03-26  

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