Inflation and Reheating in f(R,h) theory formulated in the Palatini formalism

Abstract

A new model for inflation using modified gravity in the Palatini formalism is constructed. Here non-minimal coupling of scalar field h with the curvature R as a general function f(R,h) is considered. Explicit inflation models for some choices of f(R,h) are developed. By writing an equivalent scalar-tensor action for this model and going over to Einstein frame, slow roll parameters are constructed. There exists a large parameter space which satisfies values of n_s and limits on r compatible with Planck 2018 data. Further, we calculate reheating temperature and the number of e-folds at the end of reheating for different values of equation of state parameter for all the constructed models.

20 pages, 17 figures

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• Gauging scale symmetry and inflation: Weyl versus Palatini gravity
• Scale-Invariant Quadratic Gravity and Inflation in the Palatini Formalism
• Inflation in Metric-Affine Quadratic Gravity
• Coupling Metric-Affine Gravity to a Higgs-Like Scalar Field
• Reheating in Models with Non-minimal Coupling in metric and Palatini formalisms
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• Palatini $R^2$ Quintessential Inflation
• Slow-roll inflation in Palatini $F(R)$ gravity
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• Bimetric-Affine Quadratic Gravity
• Extended interactions in the Palatini-$R^2$ inflation
• Constant-Roll Inflation in modified $f(R,\varphi )$ gravity model using Palatini Formalism
• Inflation and reheating in quadratic metric-affine gravity with derivative couplings
• Testing scale-invariant inflation against cosmological data
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