メトリック・アフィン重力理論における摂動論とその応用
| Project/Area Number |
22KF0135
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| Project/Area Number (Other) |
21F21789 (2021-2022)
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| Research Category |
Grant-in-Aid for JSPS Fellows
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| Allocation Type | Multi-year Fund (2023)
Single-year Grants (2021-2022) |
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| Section | 外国 |
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| Review Section |
Basic Section 15010:Theoretical studies related to particle-, nuclear-, cosmic ray and astro-physics
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| Research Institution | Tokyo Institute of Technology |
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Principal Investigator |
須山 輝明 (2023) 東京工業大学, 理学院, 教授 (20456198)
山口 昌英 (2021-2022) 東京工業大学, 理学院, 特定教授 (80383511)
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| Co-Investigator(Kenkyū-buntansha) |
BAHAMONDE-BELTRA SEBASTIAN 東京工業大学, 理学院, 外国人特別研究員
BAHAMONDE-BELTRAN SEBASTIAN 東京工業大学, 理学院, 外国人特別研究員
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| Project Period (FY) |
2023-03-08 – 2024-03-31
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| Project Status |
Completed (Fiscal Year 2023)
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| Budget Amount *help |
¥2,300,000 (Direct Cost: ¥2,300,000)
Fiscal Year 2023: ¥800,000 (Direct Cost: ¥800,000)
Fiscal Year 2022: ¥1,100,000 (Direct Cost: ¥1,100,000)
Fiscal Year 2021: ¥400,000 (Direct Cost: ¥400,000)
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| Keywords | Metric-Affine Gravity / Gravity |
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| Outline of Research at the Start |
本研究では、メトリック・アフィン重力理論に基づいて、統一的に種々の重力理論を扱い観測的に取捨選択することを目指します。宇宙における現在の加速膨張の発見以降、長距離での重力理論を修正することにより、この加速膨張を説明しようという幾多の試みがありました。もちろん、一般相対論は太陽系近傍の実験で厳しく検証されていますが、宇宙全体やブラックホール周辺では大きくずれる可能性があります。本研究では、torsionやnonmetricityを最大限に取り入れたメトリック・アフィン重力理論の枠組みで、このような領域での理論予言を与える摂動論を定式化し、将来観測により理論を取捨選択出来るように備えます。
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| Outline of Annual Research Achievements |
We have addressed the problem of algebraic classification in Weyl-Cartan geometry and obtained all the possible algebraic types of the irreducible parts of the curvature tensor. In particular, we have shown that the curvature tensor can be decomposed in general metric-affine geometries into 11 fundamental parts, which include both Riemannian and post-Riemannian quantities with torsion and nonmetricity. In particular, it is demonstrated that the standard type D algebraic structure associated with black holes endowed with abelian interactions, such as the Kerr-Newman solution of General Relativity that describes a rotating charged black hole, cannot occur in the presence of the spin-orbit interaction of the Metric-Affine Gravity model under consideration. Therefore, the main conclusion is that the spin-orbit interaction modifies the geometry of the space-time, preventing such a specially algebraic type for a more general one, which gives rise to a more complicated system of nonlinear differential equations yet to be solved. This work has already been reviewed and published in Physical Review D.
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Report
(3 results)
Research Products
(23 results)
