$\tildeξ$-attractors in metric-affine gravity
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arXiv
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| Format: | Preprint |
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2024
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| _version_ | 1866911034401357824 |
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| author | Racioppi, Antonio |
| author_facet | Racioppi, Antonio |
| contents | We propose a new class of inflationary attractors in metric-affine gravity. Such class features a non-minimal coupling $\tildeξ\, Ω(ϕ)$ with the Holst invariant $\tilde{\cal R}$ and an inflaton potential proportional to $Ω(ϕ)^2$. The attractor behaviour of the class takes place with two combined strong coupling limits. The first limit is realized at large $\tildeξ$, which makes the theory equivalent to a $\tilde{\cal R}^2$ model. Then, the second limit considers a very small Barbero-Immirzi parameter which leads the inflationary predictions of the $\tilde{\cal R}^2$ model towards the ones of Starobinsky inflation. Because of the analogy with the renown $ξ$-attractors, we label this new class as $\tildeξ$-attractors. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2411_08031 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | $\tildeξ$-attractors in metric-affine gravity Racioppi, Antonio General Relativity and Quantum Cosmology Cosmology and Nongalactic Astrophysics High Energy Physics - Phenomenology We propose a new class of inflationary attractors in metric-affine gravity. Such class features a non-minimal coupling $\tildeξ\, Ω(ϕ)$ with the Holst invariant $\tilde{\cal R}$ and an inflaton potential proportional to $Ω(ϕ)^2$. The attractor behaviour of the class takes place with two combined strong coupling limits. The first limit is realized at large $\tildeξ$, which makes the theory equivalent to a $\tilde{\cal R}^2$ model. Then, the second limit considers a very small Barbero-Immirzi parameter which leads the inflationary predictions of the $\tilde{\cal R}^2$ model towards the ones of Starobinsky inflation. Because of the analogy with the renown $ξ$-attractors, we label this new class as $\tildeξ$-attractors. |
| title | $\tildeξ$-attractors in metric-affine gravity |
| topic | General Relativity and Quantum Cosmology Cosmology and Nongalactic Astrophysics High Energy Physics - Phenomenology |
| url | https://arxiv.org/abs/2411.08031 |