| Project/Area Number |
21J15826
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| Research Category |
Grant-in-Aid for JSPS Fellows
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| Allocation Type | Single-year Grants |
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| Section | 国内 |
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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 | Kyoto University |
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Principal Investigator |
Gupta Priti 京都大学, 理学研究科, 特別研究員(DC2)
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| Project Period (FY) |
2021-04-28 – 2023-03-31
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| Project Status |
Completed (Fiscal Year 2022)
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| Budget Amount *help |
¥1,500,000 (Direct Cost: ¥1,500,000)
Fiscal Year 2022: ¥700,000 (Direct Cost: ¥700,000)
Fiscal Year 2021: ¥800,000 (Direct Cost: ¥800,000)
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| Keywords | EMRIS / Gravitational waves / Resonances / Tidal force / EMRIs |
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| Outline of Research at the Start |
The first step is to incorporate the influence of the third object, the tidal perturber, on the EMRI system. The induced deformation causes the small object of the EMRI to accelerate when resonance occurs, that is, when the orbital frequencies of the small object are commensurate.
While resonances are interesting theoretically, we would also like to show their observational importance. By exploring a large orbital space of EMRIs under influence of a tidal field, we would estimate the event rate of such resonances during the inspiral phase of an EMRI.
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| Outline of Annual Research Achievements |
The research project was focused on tidal resonances encountered by extreme-mass-ratio inspirals. Extreme mass ratio inspirals are one of the most exciting and promising target sources for space-based interferometers (such as LISA) that will offer stringent tests on the general theory of relativity. They might also provide a wealth of information about the dense environment in galactic centers via the emission of gravitational waves. Our work (already published) in the fiscal year 2022 is an extension of the work published in 2021. Now, we have relaxed previous assumptions and prepared a realistic model. We extensively explore a more generic model for the tidal perturber with additional resonance combinations, to study the dependence of resonance strength on the intrinsic orbital and tidal parameters. To analyze the resonant signals, accurate templates that correctly incorporate the effects of the tidal field are required. The evolution through resonances is obtained using a step function, whose amplitude is calculated using an analytic interpolation of the resonance jumps. We benchmark this procedure by comparing our approximate method to a numerical evolution. Further, we use Fisher matrices to study both the measurement precision of parameters and the systematic bias due to inaccurate modeling. Modeling of self-force resonances can also be carried out using the implementation presented in this study, which will be crucial for EMRI waveform modeling.
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| Research Progress Status |
令和4年度が最終年度であるため、記入しない。
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| Strategy for Future Research Activity |
令和4年度が最終年度であるため、記入しない。
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