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- W4313304071 abstract "We consider ${cal{R}}^2$-inflation in Palatini gravity, in the presence of scalar fields coupled to gravity. These theories, in the Einstein frame, and for one scalar field $h$, share common features with $K$ - inflation models. We apply this formalism for the study of single-field inflationary models, whose potentials are monomials, $ V sim h^{n} $, with $ n $ a positive even integer. We also study the Higgs model non-minimally coupled to gravity. With ${cal{R}}^2$-terms coupled to gravity as $sim alpha {cal{R}}^2 $, with $alpha$ constant, the instantaneous reheating temperature $T_{ins}$, is bounded by $ T_{ins} leq { 0.290 , m_{Planck}} / {, alpha^{1/4}} $, with the upper bound being saturated for large $alpha$. For such large $alpha$ need go beyond slow-roll to calculate reliably the cosmological parameters, among these the end of inflation through which $T_{ins}$ is determined. In fact, as inflaton rolls towards the end of inflation point, the quartic in the velocity terms, unavoidable in Palatini gravity, play a significant role and can not be ignored. The values of $alpha$, and other parameters, are constrained by cosmological data, setting bounds on the inflationary scale $M_{s} sim 1/sqrt{alpha}$ and the reheating temperature of the Universe." @default.
- W4313304071 created "2023-01-06" @default.
- W4313304071 creator A5059613678 @default.
- W4313304071 date "2022-12-30" @default.
- W4313304071 modified "2023-09-30" @default.
- W4313304071 title "Issues in Palatini <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML display=inline><mml:msup><mml:mi mathvariant=script>R</mml:mi><mml:mn>2</mml:mn></mml:msup></mml:math> inflation: Bounds on the reheating temperature" @default.
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