Inflation in non-minimal matter-curvature coupling theories

Abstract

We study inflationary scenarios driven by a scalar field in the presence of a non-minimal coupling between matter and curvature. We show that the Friedmann equation can be significantly modified when the energy density during inflation exceeds a critical value determined by the non-minimal coupling, which in turn may considerably modify the spectrum of primordial perturbations and the inflationary dynamics. In particular, we show that these models are characterised by a consistency relation between the tensor-to-scalar ratio and the tensor spectral index that can differ significantly from the predictions of general relativity. We also give examples of observational predictions for some of the most commonly considered potentials and use the results of the Planck collaboration to set limits on the scale of the non-minimal coupling.

17 pages, 7 figures, version to match the one published in JCAP

References in corpus (14)

• Five-Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Cosmological Interpretation
• The Confrontation between General Relativity and Experiment
• The Standard Model Higgs boson as the inflaton
• Extra force in $f(R)$ modified theories of gravity
• Nonminimal coupling of perfect fluids to curvature
• Dark energy and dark matter as curvature effects
• Reheating predictions in single field inflation
• Warm Little Inflaton
• Do f(R) theories matter?
• Reheating via a generalized non-minimal coupling of curvature to matter
• Gravitational wave consistency relations for multifield inflation
• Novel quantum initial conditions for inflation
• Anisotropic singularities in modified gravity models
• The Layzer-Irvine equation in theories with non-minimal coupling between matter and curvature

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• Growth of matter overdensities in non-minimal torsion-matter coupling theories
• Nonminimally Coupled Boltzmann Equation I: Foundations
• Jeans Instability in Non-Minimal Matter-Curvature Coupling Gravity
• Nonminimally coupled Weyl gravity
• Hubble tension in a nonminimally coupled curvature-matter gravity model
• Using numerical methods from nonlocal optics to simulate the dynamics of N-body systems in alternative theories of gravity
• Quantum kinetic theory of Jeans instability in non-minimal matter-curvature coupling gravity
• Inflation with Planck: a survey of some "exotic" inflationary models
• Cassini and extra force constraints to nonminimally coupled gravity with screening mechanism
• Is cosmological data suggesting a nonminimal coupling between matter and gravity?
• Nonminimal global monopole
• ΛCDM suitably embedded in f(R) with a non-minimal coupling to matter
• Symmetry breaking, and the effect of matter density on neutrino oscillation
• An Ostrogradsky Instability Analysis of Non-minimally Coupled Weyl Connection Gravity Theories
• Pressureless stationary solutions in a Newton-Yukawa gravity model
• Gravitational wave polarizations in nonminimally coupled gravity
• Stability Conditions for the Horndeski Scalar Field Gravity Model
• Theories of gravity with nonminimal matter-curvature coupling and the de Sitter swampland conjectures
• Gravitational waves from a curvature-induced phase transition of a Higgs-portal dark matter sector
• Black Hole Solutions in Non-Minimally Coupled Weyl Connection Gravity
• Non-trivial Extension of Starobinsky Inflation
• On Scalar Cosmological Perturbations in Non-Minimally Coupled Weyl Connection Gravity
• Primordial magnetic fields in theories of gravity with non-minimal coupling between curvature and matter