General slow-roll inflation in $f(R)$ gravity under the Palatini approach

Abstract

Slow-roll inflation is analyzed in the context of modified gravity within the Palatini formalism. As shown in the literature, inflation in this framework requires the presence of non-traceless matter, otherwise it does not occur just as a consequence of the non-linear gravitational terms of the action. Nevertheless, by including a single scalar field that plays the role of the inflaton, slow-roll inflation can be performed in these theories, where the equations lead to an effective potential that modifies the dynamics. We obtain the general slow-roll parameters and analyze a simple model to illustrate the differences introduced by the gravitational terms under the Palatini approach, and the modifications on the spectral index and the tensor to scalar ratio predicted by the model.

11 pages, version published

References in corpus (25)

• Class of viable modified $f(R)$ gravities describing inflation and the onset of accelerated expansion
• Palatini Approach to Modified Gravity: f(R) Theories and Beyond
• Modified f(R) gravity unifying R^m inflation with \LambdaCDM epoch
• Metric-affine f(R) theories of gravity
• Inflation with Non-Minimal Coupling: Metric vs. Palatini Formulations
• Wormholes supported by hybrid metric-Palatini gravity
• Reconstructing the universe history, from inflation to acceleration, with phantom and canonical scalar fields
• Generalized energy conditions in Extended Theories of Gravity
• Higgs-Palatini Inflation and Unitarity
• f(R) gravity theories in Palatini formalism: cosmological dynamics and observational constraints
• Inflationary universe from perfect fluid and $F(R)$ gravity and its comparison with observational data
• Cosmology of hybrid metric-Palatini f(X)-gravity
• Preheating in Palatini Higgs inflation
• Initial and final de Sitter universes from modified $f(R)$ gravity
• Metric-affine Gravity and Inflation
• Is exponential gravity a viable description for the whole cosmological history?
• Coleman-Weinberg linear inflation: metric vs. Palatini formulation
• Inflationary Perturbations in Palatini Generalised Gravity
• Palatini formulation of pure $R^2$ gravity yields Einstein gravity with no massless scalar
• Equivalence of inflationary models between the metric and Palatini formulation of scalar-tensor theories
• Nonsingular black holes, wormholes, and de Sitter cores from anisotropic fluids
• The Cauchy problem for metric-affine f(R)-gravity in presence of a Klein-Gordon scalar field
• Inflationary dynamics and preheating of the non-minimally coupled inflaton field in the metric and Palatini formalisms
• $f(R)$ gravity theories in the Palatini Formalism constrained from strong lensing
• Stability of Palatini-f(R) cosmology

Cited by in corpus (13)

• Inflation in Metric-Affine Quadratic Gravity
• Palatini $R^2$ Quintessential Inflation
• Implications of Palatini gravity for inflation and beyond
• Slow-roll inflation in Palatini $F(R)$ gravity
• Inflation and reheating in quadratic metric-affine gravity with derivative couplings
• Issues in Palatini ${\mathcal{R}}^2$ inflation: Bounds on the Reheating Temperature
• Dynamical reconstruction of the $\Lambda$CDM model in hybrid metric-Palatini gravity
• General Einstein-Cartan quadratic gravity with derivative couplings
• Non-minimal Coupling Inflation and Dark Matter under the ${\mathbb{Z}}_3$ Symmetry
• Gravitational wave propagation in generalized hybrid metric-Palatini gravity
• Propagation and emission of gravitational waves in the weak-field limit within the Palatini formalism
• Scalar-Induced Gravitational Waves in Palatini $f(R)$ Gravity
• Inflationary assessment of $F(\mathcal{R},\tilde{\mathcal{R}})$ Einstein-Cartan models