Damping of gravitational waves in f(R) gravity
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arXiv
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| Autori principali: | , , , |
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| Natura: | Preprint |
| Pubblicazione: |
2023
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| _version_ | 1866915192860835840 |
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| author | Feng, Haiyuan Su, Laiyuan Yang, Rong-Jia Chen, Wei-Qiang |
| author_facet | Feng, Haiyuan Su, Laiyuan Yang, Rong-Jia Chen, Wei-Qiang |
| contents | We investigate the damping of gravitational waves (GW) in $f(R)$ gravity by matter. By applying the kinetic theory, we examine the first-order approximation of the relativistic Boltzmann equation. In the flat spacetime, we derive the evolution equations for waves in $f(R)$ gravity and demonstrate that Landau damping is absent while collision damping is present. In the Friedmann-Robertson-Walker (FRW) cosmology, we also examine the dynamical equations for the two modes. Furthermore, in the model $f(R) = R + αR^2$, we investigate the effect of the mass term on wave amplitude decay within the neutrino system. We observe that the tensor mode with $m = 1 \, \text{eV}$ exhibits faster decay compared to other cases, while the scalar mode with $m = 1 \, \text{eV}$ appears to suppress decay. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2302_06402 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Damping of gravitational waves in f(R) gravity Feng, Haiyuan Su, Laiyuan Yang, Rong-Jia Chen, Wei-Qiang General Relativity and Quantum Cosmology We investigate the damping of gravitational waves (GW) in $f(R)$ gravity by matter. By applying the kinetic theory, we examine the first-order approximation of the relativistic Boltzmann equation. In the flat spacetime, we derive the evolution equations for waves in $f(R)$ gravity and demonstrate that Landau damping is absent while collision damping is present. In the Friedmann-Robertson-Walker (FRW) cosmology, we also examine the dynamical equations for the two modes. Furthermore, in the model $f(R) = R + αR^2$, we investigate the effect of the mass term on wave amplitude decay within the neutrino system. We observe that the tensor mode with $m = 1 \, \text{eV}$ exhibits faster decay compared to other cases, while the scalar mode with $m = 1 \, \text{eV}$ appears to suppress decay. |
| title | Damping of gravitational waves in f(R) gravity |
| topic | General Relativity and Quantum Cosmology |
| url | https://arxiv.org/abs/2302.06402 |