2021 Fiscal Year Annual Research Report
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 |
21F21789
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| Allocation Type | Single-year Grants |
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| Research Institution | Tokyo Institute of Technology |
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Principal Investigator |
山口 昌英 東京工業大学, 理学院, 特定教授 (80383511)
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| Co-Investigator(Kenkyū-buntansha) |
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) |
2021-11-18 – 2024-03-31
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| Keywords | Gravity |
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| Outline of Annual Research Achievements |
He constructed Plebanski-Demianski stationary and axisymmetric solutions with
two expanding and double principal null directions in the framework of Metric-Affine gauge theory of gravity. Starting from the new improved form of the metric with vanishing cosmological constant recently achieved by Podolsky and Vratny, we extended this form in the presence of a cosmological constant and derived the conditions under which the physical sources of the torsion and nonmetricity tensors provide dynamical contributions preserving it in Weyl-Cartan geometry. The resulting black hole configurations are characterised by the mass, orbital angular momentum, acceleration, NUT parameter, cosmological constant and electromagnetic charges of the Riemannian sector of the theory, as well as by the spin and dilation charges of the torsion and nonmetricity fields. The former is subject to a constraint representing a decoupling limit with the parameters responsible of axial symmetry, beyond which the geometry of the space-time is expected to be corrected.
He also found exact solutions for certain choices of couplings between a scalar field and the torsion tensor of a teleparallel connection and certain scalar field potentials, and thus proof the existence of scalarized black holes in these theories. On the other hand, he showed that it is possible to establish no-scalar-hair theorems similar to what is known in general relativity for other choices of these functions.
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| Current Status of Research Progress |
Current Status of Research Progress
1: Research has progressed more than it was originally planned.
Reason
He has already obtained a lot of new good results. In fact, he has already published many papers and given many presentations.
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| Strategy for Future Research Activity |
He will work on different projects related to metric affine gravity and teleparallel theories.
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