Constant-roll inflation with non-minimally derivative coupling
| Autor: | Liu, Jie, Gong, Yungui, Yi, Zhu |
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| Rok vydání: | 2024 |
| Předmět: | |
| Zdroj: | Commun. Theor. Phys. 76 (2024) 095401 |
| Druh dokumentu: | Working Paper |
| DOI: | 10.1088/1572-9494/ad51ef |
| Popis: | We investigate the constant-roll inflation with non-minimally kinetic coupling to the Einstein tensor. With the slow-roll parameter $\eta_\phi = -\ddot{\phi}/(H\dot{\phi})$ being a constant, we calculate the power spectra for scalar and tensor perturbations, and derive the expressions for the scalar spectral tilt $n_s$, the tensor spectral tilt $n_T$, and the tensor-to-scalar ratio $r$. We find that the expressions for $n_s$ are different with different ordering of taking the derivative of the scalar power spectrum with respect to the scale $k$ and the horizon crossing condition $c_sk=aH$ in the constant-roll inflation, the consistency relation $r=-8n_T$ does not hold if $|\eta_\phi|$ is not small, and the duality of the tensor-to-scalar ratio between the slow-roll inflation and ultra-slow-roll inflation does not exist in inflationary models with non-minimally derivative coupling. The result offers a fresh perspective on the understanding of the inflationary models with non-minimally derivative coupling and is helpful for the production of scalar induced gravitational waves in the framework of ultra-slow-roll inflation with non-minimally derivative coupling. Comment: 8 pages, accepted by Communications in Theoretical Physics |
| Databáze: | arXiv |
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