Aspects of non-minimally coupled curvature with power laws

2025/09/24 by Hell, Anamaria, Lust, Dieter · 2 citations
#FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc) #High Energy Physics - Theory (hep-th)

paper · doi:10.48550/arxiv.2509.20217

Abstract

We consider a class of theories containing power-law terms in both the Ricci scalar and a scalar field, including their non-minimal couplings. As a first step, we systematically classify all non-trivial cases with a propagating scalar field that arise from the simplest general power-law formulation, which contains the minimal number of terms. We then analyze each case in detail, focusing on the structure of the degrees of freedom, by both formulating the theories in the Einstein frames and focusing on the singular points in the Jordan frame. We demonstrate that such theories can give rise to different, and sometimes unexpected structure of the modes, that can change at the leading order depending on the background.

Citations

• Beyond the Starobinsky model after ACT
• The non-minimal 3-form cosmology and the rise of the cuscuton
• Hitchhiker's Guide to the Swampland: The Cosmologist's Handbook to the String‐Theoretical Swampland Programme
• Power-law F(R) Gravity as Deformations to Starobinsky Inflation in View of ACT
• Galaxy Rotation Curves as Measurements of the CMB Spectral Index
• Accelerating Universe from Constraints
• SPT-3G D1: CMB temperature and polarization power spectra and cosmology from 2019 and 2020 observations of the SPT-3G Main field
• Conformal and pure scale-invariant gravities in d dimensions
• Primordial Black Holes Save R² Inflation
• Dynamical dark energy in the no-scale Brans-Dicke gravity
• On the Present Status of Inflationary Cosmology
• Curvature corrections to Starobinsky inflation can explain the ACT results
• Aspects of massive gauge fields
• Improved Predictions on Higgs-Starobinsky Inflation and Reheating with ACT DR6 and Primordial Gravitational Waves
• Keeping the relation between the Starobinsky model and no-scale supergravity ACTive
• Enhancement of primordial curvature perturbations in R³-corrected Starobinsky-Higgs inflation
• The CosmoVerse White Paper: Addressing observational tensions in cosmology with systematics and fundamental physics
• No-scale Brans-Dicke Gravity -- ultralight scalar boson & heavy inflaton
• Gravitational wave signatures of preheating in Higgs--R² inflation
• The Atacama Cosmology Telescope: DR6 Constraints on Extended Cosmological Models
• DESI DR2 Results II: Measurements of Baryon Acoustic Oscillations and Cosmological Constraints
• The Atacama Cosmology Telescope: DR6 Power Spectra, Likelihoods and ΛCDM Parameters
• On the cosmological degrees of freedom of Proca field with non-minimal coupling to gravity
• Dark energy evolution from quantum gravity
• Starobinsky Inflation in the Swampland
• On the Degrees of Freedom of R² Gravity in Flat Spacetime
• Lectures on the Swampland Program in String Compactifications
• The Swampland: Introduction and Review
• Scalaron-Higgs inflation
• Black Hole Solutions in R² Gravity
• Inflation and dark energy from f(R) gravity
• Black hole quantum mechanics in the presence of species
• Einstein Gravity from Conformal Gravity
• Resummation of Massive Gravity
• Species and Strings
• Evaporation of microscopic black holes in string theory and the bound on species
• The Standard Model Higgs boson as the inflaton
• Black holes and large N species solution to the hierarchy problem
• Degravitation of the cosmological constant and graviton width
• AdS and stabilized extra dimensions in multidimensional gravitational models with nonlinear scalar curvature terms 1/R and R⁴
• Modified gravity with negative and positive powers of curvature: Unification of inflation and cosmic acceleration
• Vacuum Quantum Fluctuations in Curved Space and the Theory of Gravitation
• A new inflationary universe scenario: A possible solution of the horizon, flatness, homogeneity, isotropy and primordial monopole problems
• A new type of isotropic cosmological models without singularity
• Massive and mass-less Yang-Mills and gravitational fields
• Partial-symmetries of weak interactions

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• The thermal view of f(R) cosmology
• Higher Curvature Inflation and the Species Scale
• Spectrum of pure R² gravity: full Hamiltonian analysis

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