• Search Research Projects
  • Search Researchers
  • How to Use
  1. Back to previous page

Symmetry of Higher Dimensional Black Hole

Research Project

Project/Area Number 23540317
Research Category

Grant-in-Aid for Scientific Research (C)

Allocation TypeMulti-year Fund
Section一般
Research Field Particle/Nuclear/Cosmic ray/Astro physics
Research InstitutionSetsunan University (2015)
Osaka City University (2011-2014)

Principal Investigator

Yasui Yukinori  摂南大学, 理工学部, 教授 (30191117)

Research Collaborator HOURI Tsuyoshi  
Kubiznak David  
Warnick Claude  
Project Period (FY) 2011-04-28 – 2016-03-31
Project Status Completed (Fiscal Year 2015)
Budget Amount *help
¥4,680,000 (Direct Cost: ¥3,600,000、Indirect Cost: ¥1,080,000)
Fiscal Year 2015: ¥780,000 (Direct Cost: ¥600,000、Indirect Cost: ¥180,000)
Fiscal Year 2014: ¥780,000 (Direct Cost: ¥600,000、Indirect Cost: ¥180,000)
Fiscal Year 2013: ¥780,000 (Direct Cost: ¥600,000、Indirect Cost: ¥180,000)
Fiscal Year 2012: ¥780,000 (Direct Cost: ¥600,000、Indirect Cost: ¥180,000)
Fiscal Year 2011: ¥1,560,000 (Direct Cost: ¥1,200,000、Indirect Cost: ¥360,000)
Keywords高次元ブラックホール / キリング・矢野対称性 / Killing-Yanoテンソル / G-構造 / 時空の対称性 / ブラックホール / トーション / キリング矢野テンソル / 数理物理学 / 素粒子論 / 数理物理 / 幾何学
Outline of Final Research Achievements

We study a classification of a spacetimes admitting the Killing-Yano symmetry. We reduce the classification problem to that of solving a set of partial differential equations, and present some solutions to these PDEs. In even dimensions, three types of solutions are obtained. In odd dimensions, we obtain more varieties of solutions. The explicit solutions constructed are not the most general possible admitting the required symmetry, nevertheless, it is demonstrated that they cover a wide variety of solutions of Einstein gravity and various supergravity theories, such as the rotating higher dimensional black hole, the charged black hole coupled to Maxwell field, supersymmetric solutions with torsion.

Report

(6 results)
  • 2015 Annual Research Report   Final Research Report ( PDF )
  • 2014 Research-status Report
  • 2013 Research-status Report
  • 2012 Research-status Report
  • 2011 Research-status Report
  • Research Products

    (42 results)

All 2016 2015 2014 2013 2012 2011 Other

All Journal Article (8 results) (of which Peer Reviewed: 7 results,  Open Access: 1 results,  Acknowledgement Compliant: 4 results) Presentation (32 results) (of which Invited: 11 results) Book (2 results)

  • [Journal Article] Heterotic Solutions with G2 and Spin(7)-Structures2015

    • Author(s)
      K. Hinoue, Y. Yasui
    • Journal Title

      JP Journal of Geometry and Topology

      Volume: 17 Pages: 17-48

    • Related Report
      2015 Annual Research Report
    • Peer Reviewed / Open Access / Acknowledgement Compliant
  • [Journal Article] 接続2015

    • Author(s)
      安井幸則
    • Journal Title

      数理科学

      Volume: 7月号 Pages: 44-49

    • Related Report
      2015 Annual Research Report
  • [Journal Article] A simple test for spacetime symmetry2015

    • Author(s)
      T. Houri, Y. Yasui
    • Journal Title

      Classical and Quantum Gravity

      Volume: 32 Pages: 055002-055002

    • Related Report
      2014 Research-status Report
    • Peer Reviewed / Acknowledgement Compliant
  • [Journal Article] General Wahlquist metrics in all dimensions2014

    • Author(s)
      K. Hinoue, T. Houri, C. Rugina, Y. Yasui
    • Journal Title

      Physical Review D

      Volume: 90 Pages: 024037-024037

    • Related Report
      2014 Research-status Report
    • Peer Reviewed / Acknowledgement Compliant
  • [Journal Article] Supersymmetric heterotic solutions via non-SU(3) standard embedding2014

    • Author(s)
      K. Hinoue, S. Mizoguchi, Y. Yasui
    • Journal Title

      Physical Review D

      Volume: 90 Pages: 106009-106009

    • Related Report
      2014 Research-status Report
    • Peer Reviewed / Acknowledgement Compliant
  • [Journal Article] A Deformation of Sasakian Structure in the Presence of Torsion and Supergravity Solutions2013

    • Author(s)
      T. Houri, H. Takeuchi and Y. Yasui
    • Journal Title

      Classical and Quantum Gravity

      Volume: 30

    • Related Report
      2013 Research-status Report
    • Peer Reviewed
  • [Journal Article] Local metrics admitting a principal Killing-Yano tensor with torsion2012

    • Author(s)
      T. Houri, D. Kubiznak, C.W. Warnick, Y. Yasui
    • Journal Title

      Classical and Quantum Gravity

      Volume: 29

    • Related Report
      2012 Research-status Report
    • Peer Reviewed
  • [Journal Article] Hidden Symmetry and Exact Solutions in Einstein Gravity2011

    • Author(s)
      Yukinori Yasui
    • Journal Title

      Progress of Theoretical Physics Supplement

      Volume: 189 Pages: 126-164

    • NAID

      110008711100

    • Related Report
      2011 Research-status Report
    • Peer Reviewed
  • [Presentation] Killing-Stackel Tensor in Kerr Spacetime2016

    • Author(s)
      宝利剛, 友田健太郎, 安井幸則
    • Organizer
      日本物理学会
    • Place of Presentation
      東北学院大学
    • Year and Date
      2016-03-19
    • Related Report
      2015 Annual Research Report
  • [Presentation] ペテロフD型時空上のキリング・矢野対称性2016

    • Author(s)
      安井幸則
    • Organizer
      第17回特異点研究会
    • Place of Presentation
      慶応義塾大学
    • Year and Date
      2016-01-10
    • Related Report
      2015 Annual Research Report
  • [Presentation] Conformal Killing-Yano Symmetry of Kerr Spacetime2015

    • Author(s)
      宝利剛, 安井幸則
    • Organizer
      日本物理学会
    • Place of Presentation
      大阪市立大学
    • Year and Date
      2015-09-26
    • Related Report
      2015 Annual Research Report
  • [Presentation] アインシュタイン計量との出会い2015

    • Author(s)
      安井 幸則
    • Organizer
      大阪市立大学物理学科談話会
    • Place of Presentation
      大阪市立大学 (大阪府)
    • Year and Date
      2015-03-26
    • Related Report
      2014 Research-status Report
    • Invited
  • [Presentation] Prolongation of rank-2 symmetric Killing tensors and curvature conditions2015

    • Author(s)
      宝利 剛
    • Organizer
      日本物理学会
    • Place of Presentation
      早稲田大学 (東京都)
    • Year and Date
      2015-03-24
    • Related Report
      2014 Research-status Report
  • [Presentation] 時空の対称性を数える2015

    • Author(s)
      安井 幸則
    • Organizer
      大阪市立大学数学物理合同セミナー
    • Place of Presentation
      大阪市立大学 (大阪府)
    • Year and Date
      2015-02-21
    • Related Report
      2014 Research-status Report
    • Invited
  • [Presentation] A simple test for sacetime symmetry2014

    • Author(s)
      安井 幸則
    • Organizer
      Workshop on geometry, extra dimension and string phenomenology in Miyazaki
    • Place of Presentation
      ANAホリデイ・イン リゾート宮崎 (宮崎県)
    • Year and Date
      2014-11-05
    • Related Report
      2014 Research-status Report
    • Invited
  • [Presentation] Killing-Yano対称性と時空の分類2014

    • Author(s)
      安井 幸則
    • Organizer
      素粒子論セミナー
    • Place of Presentation
      京都大学 (京都府)
    • Year and Date
      2014-06-04
    • Related Report
      2014 Research-status Report
    • Invited
  • [Presentation] CKYの展望2012

    • Author(s)
      安井幸則
    • Organizer
      研究会「高次元ブラックホールとAdS/CFT対応」
    • Place of Presentation
      伊豆高原ホテルロビィング
    • Related Report
      2011 Research-status Report
  • [Presentation] Hidden Symmetry and Exact Solutions in Einstein Gravity2012

    • Author(s)
      安井幸則
    • Organizer
      GEOSOCK セミナー「幾何学と数理物理」(招待講演)
    • Place of Presentation
      大阪市立大学
    • Related Report
      2011 Research-status Report
  • [Presentation] 佐々木Einstein計量の物質場による変形とHidden Symmetry2012

    • Author(s)
      竹内寛
    • Organizer
      日本物理学会
    • Place of Presentation
      関西学院大学
    • Related Report
      2011 Research-status Report
  • [Presentation] 高次元ブラックホールの対称性と厳密解2011

    • Author(s)
      安井幸則
    • Organizer
      阪大-京大-市大・相対論・宇宙論合同セミナー(招待講演)
    • Place of Presentation
      大阪市立大学文化交流センター
    • Related Report
      2011 Research-status Report
  • [Presentation] 高次元ブラックホールの対称性と厳密解2011

    • Author(s)
      安井幸則
    • Organizer
      研究会「場の理論と弦理論」
    • Place of Presentation
      京都大学基礎物理学研究所
    • Related Report
      2011 Research-status Report
  • [Presentation] Hidden symmetry of supergravity black holes2011

    • Author(s)
      宝利剛
    • Organizer
      日本物理学会
    • Place of Presentation
      弘前大学
    • Related Report
      2011 Research-status Report
  • [Presentation] 超重力理論におけるインスタントン2011

    • Author(s)
      樋ノ上和貴
    • Organizer
      日本物理学会
    • Place of Presentation
      弘前大学
    • Related Report
      2011 Research-status Report
  • [Presentation] 高次元時空の隠れた対称性2011

    • Author(s)
      安井幸則
    • Organizer
      岡山光量子科学研究所セミナー(招待講演)
    • Place of Presentation
      光量子科学研究所
    • Related Report
      2011 Research-status Report
  • [Presentation] CKY対称性と佐々木構造の変形

    • Author(s)
      安井幸則
    • Organizer
      微分幾何セミナー
    • Place of Presentation
      大阪市立大学数学研究所
    • Related Report
      2013 Research-status Report
    • Invited
  • [Presentation] 共形キリング-矢野対称性と超重力理論への応用

    • Author(s)
      安井幸則
    • Organizer
      セミナー
    • Place of Presentation
      立教大学数理物理学研究センター
    • Related Report
      2013 Research-status Report
    • Invited
  • [Presentation] Conformal Killing-Yanoテンソルの次元公式

    • Author(s)
      安井幸則, 宝利剛
    • Organizer
      日本物理学会
    • Place of Presentation
      高知大学
    • Related Report
      2013 Research-status Report
  • [Presentation] 2階のキリング・矢野テンソル場をもつ5次元カルツァ・クラインブラックホールとその高次元への一般化について

    • Author(s)
      宝利剛, 山本慧, 安井幸則
    • Organizer
      日本物理学会
    • Place of Presentation
      高知大学
    • Related Report
      2013 Research-status Report
  • [Presentation] 例外群E8に基づく素粒子の統一模型

    • Author(s)
      廣岡隆孝, 安井幸則, 樋ノ上和貴, 溝口俊哉
    • Organizer
      日本物理学会
    • Place of Presentation
      高知大学
    • Related Report
      2013 Research-status Report
  • [Presentation] CKYと時空の隠れた対称性

    • Author(s)
      安井幸則
    • Organizer
      セミナー
    • Place of Presentation
      茨城県つぶば市高エネルギー加速研究機構
    • Related Report
      2013 Research-status Report
    • Invited
  • [Presentation] 例外群E8に基づく素粒子の統一模型

    • Author(s)
      安井幸則
    • Organizer
      セミナー
    • Place of Presentation
      茨城県つくば市高エネルギー加速研究機構
    • Related Report
      2013 Research-status Report
    • Invited
  • [Presentation] 例外群E8に基づく素粒子の超対称非線形模型

    • Author(s)
      安井幸則
    • Organizer
      特異点研究会「特異点と時空および関連する物理」
    • Place of Presentation
      茨城大学
    • Related Report
      2013 Research-status Report
  • [Presentation] Heterotic SUSY domain wall

    • Author(s)
      樋ノ上和貴, 廣岡隆孝, 安井幸則, 溝口俊哉
    • Organizer
      日本物理学会
    • Place of Presentation
      東海大学
    • Related Report
      2013 Research-status Report
  • [Presentation] General Wahlquist Metrics in All Dimensions

    • Author(s)
      宝利剛, 樋ノ上和貴, C. Rugina, 安井幸則
    • Organizer
      日本物理学会
    • Place of Presentation
      東海大学
    • Related Report
      2013 Research-status Report
  • [Presentation] 佐々木構造の変形と超重力理論の厳密解

    • Author(s)
      安井幸則
    • Organizer
      研究会「場の理論と弦理論」
    • Place of Presentation
      京都大学基礎物理学研究所
    • Related Report
      2012 Research-status Report
  • [Presentation] 例外型ホロノミーを持つヘテロ型超重力理論における重力インスタントン

    • Author(s)
      樋ノ上和貴
    • Organizer
      日本物理学会
    • Place of Presentation
      京都産業大学
    • Related Report
      2012 Research-status Report
  • [Presentation] Einstein Metrics from Hidden Symmetry

    • Author(s)
      安井幸則
    • Organizer
      茨城大学素粒子論セミナー
    • Place of Presentation
      茨城大学
    • Related Report
      2012 Research-status Report
    • Invited
  • [Presentation] Hidden Symmetry and Exact Solutions in Higher Dimensional Gravity

    • Author(s)
      Yukinori Yasui
    • Organizer
      String Theory Mini-workshop
    • Place of Presentation
      NCTU, Taiwan
    • Related Report
      2012 Research-status Report
    • Invited
  • [Presentation] Hidden Symmetry and Exact Solutions in Supergravity Theories

    • Author(s)
      安井幸則
    • Organizer
      研究会「エキゾチック時空幾何とその応用」
    • Place of Presentation
      理化学研究所
    • Related Report
      2012 Research-status Report
    • Invited
  • [Presentation] Conformal Killing-Yano Tensor

    • Author(s)
      安井幸則
    • Organizer
      相対論合宿型研究会
    • Place of Presentation
      茨城大学
    • Related Report
      2012 Research-status Report
  • [Book] 数理科学 「幾何学における様々な発想」2014

    • Author(s)
      安井幸則
    • Total Pages
      2
    • Publisher
      サイエンス社
    • Related Report
      2013 Research-status Report
  • [Book] 物理学と多様体2011

    • Author(s)
      安井幸則
    • Publisher
      サイエンス社
    • Related Report
      2011 Research-status Report

URL: 

Published: 2011-08-05   Modified: 2019-07-29  

Information User Guide FAQ News Terms of Use Attribution of KAKENHI

Powered by NII kakenhi