Symmetry of Higher Dimensional Black Hole
Project/Area Number |
23540317
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Research Category |
Grant-in-Aid for Scientific Research (C)
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Allocation Type | Multi-year Fund |
Section | 一般 |
Research Field |
Particle/Nuclear/Cosmic ray/Astro physics
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Research Institution | Setsunan University (2015) Osaka City University (2011-2014) |
Principal Investigator |
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Research Collaborator |
HOURI Tsuyoshi
Kubiznak David
Warnick Claude
|
Project Period (FY) |
2011-04-28 – 2016-03-31
|
Project Status |
Completed (Fiscal Year 2015)
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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.
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Report
(6 results)
Research Products
(42 results)
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[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
Invited
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