Constraint on reheating after f(R) inflation from gravitational waves

Abstract

Recently, a combined model of the primordial inflation and the present cosmic acceleration has been proposed in the context of f(R) gravity. This model is composed of the late-time acceleration term and an R2 term, which enables the model to avoid high curvature singularity and describe a quasi-de Sitter inflationary phase in the early Universe. An interesting feature of this model is that the reheating dynamics after the inflation is significantly modified, in contrast to the original R2 model, and affects the shape of a gravitational wave background (GWB) spectrum. Here we investigate the production of a GWB during the inflation and reheating eras in the R2-corrected f(R) model and compute a GWB spectrum. We found that interesting region of the model parameters has already been excluded by the cosmological limit on abundance of GWs.

14 pages, 3 figures

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• Consistency relation for $R^p$ inflation
• Deformed Starobinsky model in gravity's rainbow
• Reheating through the Higgs amplified by spinodal instabilities and gravitational creation of gravitons
• Amplification of the Primordial Gravitational Waves Energy Spectrum by a Kinetic Scalar in $F(R)$ Gravity
• Irreversible thermodynamical description of warm inflationary cosmological models
• Inflation from $f(R)$ theories in gravity's rainbow
• $f(R)$-Gravity Generated Post-inflationary Eras and their Effect on Primordial Gravitational Waves
• Effects of a Pre-inflationary de Sitter Bounce on the Primordial Gravitational Waves in $f(R)$ Gravity Theories
• Warm inflation with non-comoving scalar field and radiation fluid
• Towards a unified interpretation of the early Universe in $R^2$-corrected dark energy model of $F(R)$ gravity
• Cosmological constraints on $R^2$-corrected Appleby-Battye model
• Thermodynamics of the Primordial Universe
• Search for an emission line of a gravitational wave background
• Robustness of predicted CMB fluctuations in Cartan $F(R)$ gravity
• Quantization of Yang-Mills Theory in de Sitter Spacetime
• Hawking area law in quantum gravity