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Implimentation of new approach to the black-hole physics using variational method and fluid mechanics

Research Project

Project/Area Number 25800157
Research Category

Grant-in-Aid for Young Scientists (B)

Allocation TypeMulti-year Fund
Research Field Particle/Nuclear/Cosmic ray/Astro physics
Research InstitutionAkita Prefectural University

Principal Investigator

MIYAMOTO Umpei  秋田県立大学, 総合科学教育研究センター, 准教授 (70386621)

Project Period (FY) 2013-04-01 – 2015-03-31
Project Status Completed (Fiscal Year 2014)
Budget Amount *help
¥1,690,000 (Direct Cost: ¥1,300,000、Indirect Cost: ¥390,000)
Fiscal Year 2014: ¥650,000 (Direct Cost: ¥500,000、Indirect Cost: ¥150,000)
Fiscal Year 2013: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Keywords一般相対論 / ブラックホール / 高次元時空 / 変分問題 / 微分幾何学 / 平均曲率一定面 / 流体力学 / 表面張力
Outline of Final Research Achievements

We investigated the properties of black holes by analyzing not the Einstein's equation of motion but equivalent equations in variational method and fluid mechanics.
In particular, we revealed the properties of higher-dimensional black holes,living in spaces whose number of spatial dimensions is greater than three, by investigating those of soap bubbles, which are called the constant-mean-curvature surfaces by mathematicians.
The results in this study are useful for both mathematics (differential geometry) and physics (general relativity and fluid mechanics), and can promote further interdisciplinary studies on the relation between the two.

Report

(3 results)
  • 2014 Annual Research Report   Final Research Report ( PDF )
  • 2013 Research-status Report
  • Research Products

    (10 results)

All 2015 2014 2013

All Journal Article (5 results) (of which Peer Reviewed: 4 results) Presentation (5 results) (of which Invited: 2 results)

  • [Journal Article] Properties of an electrically charged black hole in Eddington-inspired Born-Infeld gravity2015

    • Author(s)
      Hajime Sotani, Umpei Miyamoto
    • Journal Title

      Phys. Rev. D

      Volume: 90 Issue: 12 Pages: 1-9

    • DOI

      10.1103/physrevd.90.124087

    • Related Report
      2014 Annual Research Report
    • Peer Reviewed
  • [Journal Article] 流体としてのブラックホール:重力物理と流体力学の接点2014

    • Author(s)
      宮本雲平
    • Journal Title

      数理解析研究所講究録

      Volume: 1890 Pages: 136-148

    • Related Report
      2014 Annual Research Report
  • [Journal Article] Naked singularity explosion in higher-dimensional dust collapse2014

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

      Classical and Quantum Gravity

      Volume: 31, 045002 Issue: 4 Pages: 1-10

    • DOI

      10.1088/0264-9381/31/4/045002

    • Related Report
      2013 Research-status Report
    • Peer Reviewed
  • [Journal Article] Weak cosmic censorship in gravitational collapse with astrophysical parameter values2013

    • Author(s)
      U. Miyamoto, S. Jhingan, T. Harada
    • Journal Title

      Progress of Theoretical and Experimental Physics

      Volume: 053E01 Issue: 5 Pages: 1-9

    • DOI

      10.1093/ptep/ptt027

    • Related Report
      2013 Research-status Report
    • Peer Reviewed
  • [Journal Article] Escape of super-heavy and highly energetic particles produced by particle collisions near maximally charged black holes2013

    • Author(s)
      H. Nemoto, U. Miyamoto, T. Harada, T. Kokubu
    • Journal Title

      Physical Review D

      Volume: 87, 127502 Issue: 12 Pages: 1-4

    • DOI

      10.1103/physrevd.87.127502

    • Related Report
      2013 Research-status Report
    • Peer Reviewed
  • [Presentation] Liquid bridges and black strings in general dimensions: Stability2014

    • Author(s)
      U. Miyamoto
    • Organizer
      Holographic vistas on Gravity and Strings
    • Place of Presentation
      Yukawa Institute of Physics
    • Year and Date
      2014-05-26 – 2014-05-28
    • Related Report
      2014 Annual Research Report
  • [Presentation] Liquid bridges and black strings in higher dimensions II: stability2014

    • Author(s)
      宮本雲平
    • Organizer
      日本物理学会第69回年次大会
    • Place of Presentation
      東海大学
    • Related Report
      2013 Research-status Report
  • [Presentation] ブラックホールと流体不安定性2013

    • Author(s)
      宮本雲平
    • Organizer
      日本実験力学会第8回機能性流体に関する公開研究会
    • Place of Presentation
      秋田県立大学
    • Related Report
      2013 Research-status Report
    • Invited
  • [Presentation] 流体としてのブラックホール:重力物理と流体力学の接点2013

    • Author(s)
      宮本雲平
    • Organizer
      非線形波動現象の数理と応用
    • Place of Presentation
      京都大学数理解析研究所
    • Related Report
      2013 Research-status Report
    • Invited
  • [Presentation] Liquid bridges and black strings in general dimensions: stability2013

    • Author(s)
      宮本雲平
    • Organizer
      The 23rd Workshop on General Relativity and Gravitation in Japan
    • Place of Presentation
      弘前大学
    • Related Report
      2013 Research-status Report

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Published: 2014-07-25   Modified: 2019-07-29  

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