Scalar induced gravitational waves in f(R) gravity
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arXiv
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| Autori principali: | , , , , , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866913577083863040 |
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| author | Zhou, Jing-Zhi Kuang, Yu-Ting Wu, Di Chen, Fei-Yu Lü, H. Chang, Zhe |
| author_facet | Zhou, Jing-Zhi Kuang, Yu-Ting Wu, Di Chen, Fei-Yu Lü, H. Chang, Zhe |
| contents | We investigate the first and second order cosmological perturbation equations in f(R) modified gravity theory and provide the equation of motion of second order scalar induced gravitational waves. We find that the effects of modified gravity not only change the form of the equation of motion of second order scalar induced gravitational waves but also contribute an additional anisotropic stress tensor, composed of first order scalar perturbations, to the source term of the gravitational waves. We calculate the energy density spectrum of second order scalar induced gravitational waves in the HS model. Utilizing current pulsar timing array observational data, we perform a rigorous Bayesian analysis of the parameter space of the HS model. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2409_07702 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Scalar induced gravitational waves in f(R) gravity Zhou, Jing-Zhi Kuang, Yu-Ting Wu, Di Chen, Fei-Yu Lü, H. Chang, Zhe General Relativity and Quantum Cosmology Cosmology and Nongalactic Astrophysics High Energy Physics - Theory We investigate the first and second order cosmological perturbation equations in f(R) modified gravity theory and provide the equation of motion of second order scalar induced gravitational waves. We find that the effects of modified gravity not only change the form of the equation of motion of second order scalar induced gravitational waves but also contribute an additional anisotropic stress tensor, composed of first order scalar perturbations, to the source term of the gravitational waves. We calculate the energy density spectrum of second order scalar induced gravitational waves in the HS model. Utilizing current pulsar timing array observational data, we perform a rigorous Bayesian analysis of the parameter space of the HS model. |
| title | Scalar induced gravitational waves in f(R) gravity |
| topic | General Relativity and Quantum Cosmology Cosmology and Nongalactic Astrophysics High Energy Physics - Theory |
| url | https://arxiv.org/abs/2409.07702 |