On the Hamilton-Jacobi approach to inflation beyond slow roll
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arXiv
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| Autori principali: | , , , , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866918124706594816 |
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| author | Artigas, Danilo Frion, Emmanuel Miranda, Tays Vennin, Vincent Wands, David |
| author_facet | Artigas, Danilo Frion, Emmanuel Miranda, Tays Vennin, Vincent Wands, David |
| contents | The Hamilton-Jacobi approach is a powerful tool to describe super-Hubble dynamics during cosmological inflation in a non-linear way. A key assumption of this framework is to neglect anisotropic perturbations on large scales. We show that neglecting the anisotropic sector in the momentum constraint corresponds to discarding the non-adiabatic mode of scalar-field perturbations at large scales. Consequently, the Hamilton-Jacobi approach cannot be used to describe the evolution of large-scale perturbations during inflation beyond slow roll, when non-adiabatic fluctuations play an important role on super-Hubble scales due to the absence of an attractor trajectory. As an example, we analyse the case of cosmological perturbations during a phase of ultra-slow-roll inflation. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2504_05937 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | On the Hamilton-Jacobi approach to inflation beyond slow roll Artigas, Danilo Frion, Emmanuel Miranda, Tays Vennin, Vincent Wands, David Cosmology and Nongalactic Astrophysics General Relativity and Quantum Cosmology The Hamilton-Jacobi approach is a powerful tool to describe super-Hubble dynamics during cosmological inflation in a non-linear way. A key assumption of this framework is to neglect anisotropic perturbations on large scales. We show that neglecting the anisotropic sector in the momentum constraint corresponds to discarding the non-adiabatic mode of scalar-field perturbations at large scales. Consequently, the Hamilton-Jacobi approach cannot be used to describe the evolution of large-scale perturbations during inflation beyond slow roll, when non-adiabatic fluctuations play an important role on super-Hubble scales due to the absence of an attractor trajectory. As an example, we analyse the case of cosmological perturbations during a phase of ultra-slow-roll inflation. |
| title | On the Hamilton-Jacobi approach to inflation beyond slow roll |
| topic | Cosmology and Nongalactic Astrophysics General Relativity and Quantum Cosmology |
| url | https://arxiv.org/abs/2504.05937 |