Invariant slow-roll parameters in scalar-tensor theories

Abstract

A general scalar-tensor theory can be formulated in different parametrizations that are related by a conformal rescaling of the metric and a scalar field redefinition. We compare formulations of slow-roll regimes in the Einstein and Jordan frames using quantities that are invariant under the conformal rescaling of the metric and transform as scalar functions under the reparametrization of the scalar field. By comparing spectral indices, calculated up to second order, we find that the frames are equivalent up to this order, due to the underlying assumptions.

arXiv commentKindly read also our CQG+ Insight at https://cqgplus.com/2016/10/05/cqg-insight-scalar-tensor-cosmology-inflation-and-invariants/ , 29 pages, a few typos corrected, references added and updated, the text is revised in accordance with the referee's suggestions

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• Selected topics in scalar-tensor theories and beyond
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• Family of scalar-nonmetricity theories of gravity
• Constant-Roll (Quasi-)Linear Inflation
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• Scalar-torsion theories of gravity III: analogue of scalar-tensor gravity and conformal invariants
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• Palatini frames in scalar-tensor theories of gravity
• Precision Predictions for the Primordial Power Spectra from f(R) Models of Inflation
• Frame-invariant approach to higher-dimensional scalar-tensor gravity
• A minimal model of inflation and dark radiation
• Reconstruction of extended inflationary potentials for attractors
• New class of hybrid metric-Palatini scalar-tensor theories of gravity
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• Multiple point criticality principle and Coleman-Weinberg inflation
• On the number of $e$-folds in the Jordan and Einstein frames
• Metric-affine gravity effects on terrestrial (exo-)planets profiles
• Slow-Roll Inflation in the Jordan Frame
• On the Trans-Planckian Censorship Conjecture and the Generalized Non-Minimal Coupling
• Formalizing Slow-roll Inflation in Scalar-Tensor Theories of Gravitation
• Invariant quantities of Scalar-Tensor Theories for stellar structure
• Attractor Cosmology from non-minimally Coupled Gravity
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• $\beta$-function reconstruction of Palatini inflationary attractors
• Scalar-tensor gravity in the Palatini approach
• Scalar-Induced Gravitational Waves in Palatini $f(R)$ Gravity