Induced Affine Inflation

Abstract

Induced gravity, metrical gravity in which gravitational constant arises from vacuum expectation value of a heavy scalar, is known to suffer from Jordan frame vs. Einstein frame ambiguity, especially in inflationary dynamics. Induced gravity in affine geometry, as we show here, leads to an emergent metric and gravity scale, with no Einstein-Jordan ambiguity. While gravity is induced by the vacuum expectation value of the scalar field, nonzero vacuum energy facilitates generation of the metric. Our analysis shows that induced gravity results in a relatively large tensor-to-scalar ratio in both metrical and affine gravity setups. However, the fact remains that the induced affine gravity provides an ambiguity-free framework.

7 pages, 1 table and 3 figures, matches the published version

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• Non-minimally coupled Natural Inflation: Palatini and Metric formalism with the recent BICEP/Keck
• Entropy Production in Affine Inflation
• Cosmology with variable $G$ and nonlinear electrodynamics
• Inducing Gravity From Connections and Scalar Fields
• Affine gravitational scenario for dark matter decay
• Matter-antimatter asymmetry induced by non-linear electrodynamics
• Eddington gravity with matter: An emergent perspective
• Scalar-Connection Gravity and Spontaneous Scalarization
• Isocurvature modes and non-Gaussianity in affine inflation
• Ricci-Determinant Gravity: Dynamical Aspects and Astrophysical Implications
• A polynomial affine model of gravity: after ten years
• Emergent Planck mass and dark energy from affine gravity
• Dynamical aspects of asymmetric Eddington gravity with scalar fields
• Does the metric play a fundamental role in the building of gravitational models?