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Study on black-hole dynamics via the fluid/gravity correspondence

Research Project

Project/Area Number 22740176
Research Category

Grant-in-Aid for Young Scientists (B)

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

Principal Investigator

MIYAMOTO Umpei  立教大学, 理学部, 研究員 (70386621)

Project Period (FY) 2010 – 2011
Project Status Completed (Fiscal Year 2011)
Budget Amount *help
¥1,820,000 (Direct Cost: ¥1,400,000、Indirect Cost: ¥420,000)
Fiscal Year 2011: ¥650,000 (Direct Cost: ¥500,000、Indirect Cost: ¥150,000)
Fiscal Year 2010: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
Keywords相対論 / 重力(理論) / 流体・重力対応 / ブラックホール / 一般相対論 / 流体力学 / 高次元ブラックホール / 相対論的流体力学 / Gregory-Laflamme不安定性 / Rayleigh-Plateau不安定性
Research Abstract

The purpose of this project is to understand the dynamics of black holes via the fluid/gravity correspondence, being the duality between fluids and black holes. In particular, we focus our attention on the universal instability of higher dimensional black holes, the Gregory-Laflamme instability, about which we obtained several important results. We established an important approximation method to describe the dynamics of Rayleigh-Plateau instability, which is the fluid counterpart of the Gregory-Laflamme instability. In addition, we find a new instability of fluids that are dual to higher dimensional black holes. While this result suggests an unknown instability of black holes, it is interesting also from a pure fluid mechanics point of view. The results obtained in this project suggest us a direction of future black-hole study, and contribute to deep understanding of gravitational theories.

Report

(3 results)
  • 2011 Annual Research Report   Final Research Report ( PDF )
  • 2010 Annual Research Report
  • Research Products

    (29 results)

All 2012 2011 2010 Other

All Journal Article (12 results) (of which Peer Reviewed: 11 results) Presentation (14 results) Book (2 results) Remarks (1 results)

  • [Journal Article] Information metric from a linear sigma model2012

    • Author(s)
      U.Miyamoto
    • Journal Title

      Physical Review E

      Volume: (掲載決定)(未定)

    • Related Report
      2011 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Instability of Compressible Drops and Jets2012

    • Author(s)
      U.Miyamoto
    • Journal Title

      Journal of Fluid Mechanics

      Volume: (掲載決定)(未定) Pages: 1-18

    • DOI

      10.1017/jfm.2012.142

    • Related Report
      2011 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Naked singularity explosion in higher dimensions2011

    • Author(s)
      Phys. RevU. Miyamoto, H. Nemoto, M. Shimano
    • Journal Title

      Phys. Rev

      Volume: 84

    • Related Report
      2011 Final Research Report
    • Peer Reviewed
  • [Journal Article] 流体力学で高次元ブラックホールを理解する2011

    • Author(s)
      宮本雲平
    • Journal Title

      日本物理学会誌

      Volume: 66巻 Pages: 610-614

    • Related Report
      2011 Annual Research Report 2011 Final Research Report
  • [Journal Article] Particle Creation by Naked Singularities in Higher Dimensions2011

    • Author(s)
      U. Miyamoto, H. Nemoto, M. Shimano
    • Journal Title

      Phys. Rev

      Volume: 83

    • Related Report
      2011 Final Research Report
    • Peer Reviewed
  • [Journal Article] Naked Singularity Explosion in Higher Dimensions2011

    • Author(s)
      U.Miyamoto
    • Journal Title

      Physical Review D

      Volume: 84 Issue: 6 Pages: 1-9

    • DOI

      10.1103/physrevd.84.064045

    • Related Report
      2011 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Visible borders of spacetime generated by high-energy collisions2010

    • Author(s)
      K. Nakao, T. Harada, U. Miyamoto
    • Journal Title

      Phys. Rev

      Volume: 82

    • Related Report
      2011 Final Research Report
    • Peer Reviewed
  • [Journal Article] One-Dimensional Approximation of Viscous Flows2010

    • Author(s)
      U. Miyamoto
    • Journal Title

      Journal of High Energy Physics 1010

      Volume: 11 Pages: 1-18

    • Related Report
      2011 Final Research Report
    • Peer Reviewed
  • [Journal Article] One-dimensional approximation of viscous flows2010

    • Author(s)
      宮本雲平
    • Journal Title

      Journal of High Energy Physics

      Volume: 10,011 Pages: 1-18

    • Related Report
      2010 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Visible borders of spacetime generated by high-energy collisions2010

    • Author(s)
      中尾憲一、原田知広、宮本雲平
    • Journal Title

      Physical Review D

      Volume: 82,121501 Pages: 1-4

    • Related Report
      2010 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Information metric from a linear sigma model

    • Author(s)
      U. Miyamoto, S. Yahikozawa
    • Journal Title

      Physical Review E

      Volume: (掲載決定)

    • Related Report
      2011 Final Research Report
    • Peer Reviewed
  • [Journal Article] Instability of Compressible Drops and Jets

    • Author(s)
      U. Miyamoto
    • Journal Title

      Journal of Fluid Mechanics

      Volume: (掲載決定)

    • Related Report
      2011 Final Research Report
    • Peer Reviewed
  • [Presentation] 圧縮性を考慮した液滴・液柱の振動・不安定性2012

    • Author(s)
      宮本雲平
    • Organizer
      日本物理学会年次大会
    • Place of Presentation
      関西学院
    • Year and Date
      2012-03-25
    • Related Report
      2011 Final Research Report
  • [Presentation] 圧縮性を考慮した液滴・液柱の振動・不安定性2012

    • Author(s)
      宮本雲平
    • Organizer
      日本物理学会第67回年次大会
    • Place of Presentation
      関西学院
    • Year and Date
      2012-03-25
    • Related Report
      2011 Annual Research Report
  • [Presentation] 流体力学とブラックホールの間に見られる類似性・双対性、乱流の普遍性と個別性:流体乱流を通して宇宙を見る2012

    • Author(s)
      宮本雲平
    • Place of Presentation
      京都大学数理解析研究所
    • Year and Date
      2012-01-12
    • Related Report
      2011 Final Research Report
  • [Presentation] 流体とブラックホールの間に見られる類似性・双対性2012

    • Author(s)
      宮本雲平
    • Organizer
      乱流の普遍性と個別性:流体乱流を通して宇宙を見る
    • Place of Presentation
      京都大学数理解析研究所(招待講演)
    • Year and Date
      2012-01-12
    • Related Report
      2011 Annual Research Report
  • [Presentation] 液滴・液中の不安定性2011

    • Author(s)
      宮本雲平
    • Organizer
      第13回特異点研究会
    • Place of Presentation
      国立天文台
    • Year and Date
      2011-12-24
    • Related Report
      2011 Final Research Report
  • [Presentation] 液滴・液柱の不安定性2011

    • Author(s)
      宮本雲平
    • Organizer
      第13回特異点研究会
    • Place of Presentation
      国立天文台
    • Year and Date
      2011-12-24
    • Related Report
      2011 Annual Research Report
  • [Presentation] Astrophysical Censorship2011

    • Author(s)
      U. Miyamoto
    • Organizer
      The 21st Workshop on General Relativity and Gravitation in Japan
    • Place of Presentation
      Tohoku Univ, Sendai
    • Year and Date
      2011-09-27
    • Related Report
      2011 Final Research Report
  • [Presentation] Astrophysical Censorship2011

    • Author(s)
      Umpei Miyamoto
    • Organizer
      21^<st> Workshop on General Relativity and Gravitation in Japan
    • Place of Presentation
      東北大学
    • Year and Date
      2011-09-27
    • Related Report
      2011 Annual Research Report
  • [Presentation] One-dimensional approximation of viscous flows2011

    • Author(s)
      U. Miyamoto
    • Organizer
      The Physical Society of Japan annual meeting in spring
    • Place of Presentation
      Niigata
    • Year and Date
      2011-03-27
    • Related Report
      2011 Final Research Report
  • [Presentation] On Hydrodynamic Description of Black-String Instability2010

    • Author(s)
      U. Miyamoto
    • Organizer
      Black holes and higher dimensions
    • Place of Presentation
      Imperial College London
    • Year and Date
      2010-09-21
    • Related Report
      2011 Final Research Report
  • [Presentation] On hydrodynamic description of black-string instability2010

    • Author(s)
      宮本雲平
    • Organizer
      Black holes and higher dimensions
    • Place of Presentation
      Imperial College London
    • Year and Date
      2010-09-21
    • Related Report
      2010 Annual Research Report
  • [Presentation] Cosmic Censorship in High-Energy Collision2010

    • Author(s)
      U. Miyamoto
    • Organizer
      Spanish Relativity Meeting 2010
    • Place of Presentation
      Granada, Spain
    • Year and Date
      2010-09-06
    • Related Report
      2011 Final Research Report
  • [Presentation] Cosmic censorship in high energy collision2010

    • Author(s)
      宮本雲平
    • Organizer
      Spanish Relativity Meeting 2010
    • Place of Presentation
      新潟大学
    • Year and Date
      2010-09-06
    • Related Report
      2010 Annual Research Report
  • [Presentation] 粘性流の一次元近似2010

    • Author(s)
      宮本雲平
    • Organizer
      日本物理学会第66回年次大会
    • Place of Presentation
      新潟大学
    • Year and Date
      2010-03-27
    • Related Report
      2010 Annual Research Report
  • [Book] 宇宙と量子論2010

    • Author(s)
      小西琢磨、宮本雲平、冨田智
    • Total Pages
      223
    • Publisher
      PHP研究所
    • Related Report
      2011 Final Research Report
  • [Book] 量子論と宇宙2010

    • Author(s)
      小西琢磨・宮本雲平・冨田智
    • Total Pages
      223
    • Publisher
      PHP出版
    • Related Report
      2010 Annual Research Report
  • [Remarks]

    • URL

      http://www2.rikkyo.ac.jp/web/umpei

    • Related Report
      2011 Final Research Report

URL: 

Published: 2010-08-23   Modified: 2016-04-21  

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