$\tilde{\xi }$-attractors in metric-affine gravity

Abstract

We propose a new class of inflationary attractors in metric-affine gravity. Such class features a non-minimal coupling $\tilde{\xi }\Omega (\varphi )$ with the Holst invariant $\tilde{\mathcal{R}}$ and an inflaton potential proportional to $\Omega (\varphi {)}^2$. The attractor behaviour of the class takes place with two combined strong coupling limits. The first limit is realized at large $\tilde{\xi }$, which makes the theory equivalent to a ${\tilde{\mathcal{R}}}^2$ model. Then, the second limit considers a very small Barbero-Immirzi parameter which leads the inflationary predictions of the ${\tilde{\mathcal{R}}}^2$ model towards the ones of Starobinsky inflation. Because of the analogy with the renown $\xi$-attractors, we label this new class as $\tilde{\xi }$-attractors.

v4, 18 pages, 3 figures, typos corrected in some equations, results unchanged, matches the erratum version

References in corpus (17)

• The Standard Model Higgs boson as the inflaton
• BICEP / Keck XIII: Improved Constraints on Primordial Gravitational Waves using Planck, WMAP, and BICEP/Keck Observations through the 2018 Observing Season
• CMB-S4 Science Case, Reference Design, and Project Plan
• The Unity of Cosmological Attractors
• Inflation with Non-Minimal Coupling: Metric vs. Palatini Formulations
• Higgs-Palatini Inflation and Unitarity
• LiteBIRD: JAXA's new strategic L-class mission for all-sky surveys of cosmic microwave background polarization
• Higgs inflation with loop corrections in the Palatini formulation
• Preheating in Palatini Higgs inflation
• Minimal Higgs inflation with an $R^2$ term in Palatini gravity
• Resurrecting Quadratic Inflation with a non-minimal coupling to gravity
• Coleman-Weinberg linear inflation: metric vs. Palatini formulation
• Inflationary Perturbations in Palatini Generalised Gravity
• Equivalence of inflationary models between the metric and Palatini formulation of scalar-tensor theories
• Critical point Higgs inflation in the Palatini formulation
• Inflating and Reheating the Universe with an Independent Affine Connection
• Inflation with $R_{(\alpha \beta )}$ terms in the Palatini formulation

Cited by in corpus (6)

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• Reheating in geometric Weyl-invariant Einstein-Cartan gravity
• Inflationary assessment of $F(\mathcal{R},\tilde{\mathcal{R}})$ Einstein-Cartan models