Constraints on the Reheating Parameters after Gauss-Bonnet Inflation from the Primordial Gravitational Waves

Abstract

We study the effects of the Gauss-Bonnet term on the energy spectrum of inflationary gravitational waves. The models of inflation are classified into two types based on their predictions for the tensor power spectrum: red-tilted ($n_T<0$) and blue-tilted spectra ($n_T>0$), respectively, and then the energy spectra of the gravitational waves are calculated for each type of model. We find that the gravitational wave spectra are enhanced depending on the model parameter if the predicted inflationary tensor spectra have a blue tilt, whereas they are suppressed for the spectra that have a red tilt. Moreover, we perform the analyses on the reheating parameters involving the temperature, the equation-of-state parameter, and the number of $e$-folds using the gravitational wave spectrum. Our results imply that the Gauss-Bonnet term plays an important role not only during inflation but also during reheating whether the process is instantaneous or lasts for a certain number of $e$-folds until it thermalizes and eventually completes.

27 pages, 8 figures, v2: matches the published version

References in corpus (17)

• Five-Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Cosmological Interpretation
• Improved Calculation of the Primordial Gravitational Wave Spectrum in the Standard Model
• Reheating constraints to inflationary models
• Circular Polarization of Primordial Gravitational Waves in String-inspired Inflationary Cosmology
• Probing reheating temperature of the universe with gravitational wave background
• Precision calculations of the gravitational wave background spectrum from inflation
• Blue-tilted Tensor Spectrum and Thermal History of the Universe
• Relic gravitational waves and their detection
• Observational constraints on slow-roll inflation coupled to a Gauss-Bonnet term
• Perturbation, Non-Gaussianity and Reheating in a GB-$\alpha$-Attractor Model
• Closed String Thermodynamics and a Blue Tensor Spectrum
• Reheating phase diagram for single-field slow-roll inflationary models
• Reheating in Gauss-Bonnet-coupled inflation
• Reconstruction of the Scalar Field Potential in Inflationary Models with a Gauss-Bonnet term
• ${\varphi }^2$ Inflation at its Endpoint
• Constraining scalar-Gauss-Bonnet Inflation by Reheating, Unitarity and PLANCK
• Primordial gravitational waves from the space-condensate inflation model

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