Towards Stochastic Inflation in Higher-Curvature Gravity
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| Format: | Preprint |
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2025
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| _version_ | 1866909038616248320 |
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| author | Aldabergenov, Yermek Ding, Ding Lin, Wei Wan, Yidun |
| author_facet | Aldabergenov, Yermek Ding, Ding Lin, Wei Wan, Yidun |
| contents | We study stochastic inflation in the presence of higher-curvature terms non-minimally coupled to the inflaton. Focusing on quadratic curvature invariants, we single out the Gauss-Bonnet term which is known to avoid ghosts, while having non-trivial effects on the background and scalar mode evolution when coupled to the scalar field. Stochastic Klein-Gordon and Langevin equations are derived in the presence of the Gauss-Bonnet coupling, and their slow-roll and ultra-slow-roll limits are studied. By using first-passage time method, scalar power spectrum and PBH mass fraction are estimated in these limits. Stochastic evolution of a Gauss-Bonnet-coupled spectator field in de Sitter vacuum is also discussed. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2506_21423 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Towards Stochastic Inflation in Higher-Curvature Gravity Aldabergenov, Yermek Ding, Ding Lin, Wei Wan, Yidun General Relativity and Quantum Cosmology Cosmology and Nongalactic Astrophysics High Energy Physics - Theory We study stochastic inflation in the presence of higher-curvature terms non-minimally coupled to the inflaton. Focusing on quadratic curvature invariants, we single out the Gauss-Bonnet term which is known to avoid ghosts, while having non-trivial effects on the background and scalar mode evolution when coupled to the scalar field. Stochastic Klein-Gordon and Langevin equations are derived in the presence of the Gauss-Bonnet coupling, and their slow-roll and ultra-slow-roll limits are studied. By using first-passage time method, scalar power spectrum and PBH mass fraction are estimated in these limits. Stochastic evolution of a Gauss-Bonnet-coupled spectator field in de Sitter vacuum is also discussed. |
| title | Towards Stochastic Inflation in Higher-Curvature Gravity |
| topic | General Relativity and Quantum Cosmology Cosmology and Nongalactic Astrophysics High Energy Physics - Theory |
| url | https://arxiv.org/abs/2506.21423 |