Observational constraints on slow-roll inflation coupled to a Gauss-Bonnet term

Abstract

We study slow-roll inflation with a Gauss-Bonnet term that is coupled to an inflaton field nonminimally. We investigate the inflationary solutions for a specific type of the nonminimal coupling to the Gauss-Bonnet term and inflaton potential both analytically and numerically. We also calculate the observable quantities such as the power spectra of the scalar and tensor modes, the spectral indices, the tensor-to-scalar ratio and the running spectral indices. Finally, we constrain our result with the observational data by Planck and BICEP2 experiment.

arXiv comment23 pages, 9 figures, typos corrected, references added, and some clarifications added including figures

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Cited by in corpus (71)

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• Inflation driven by Einstein-Gauss-Bonnet gravity
• Constraints on scalar-tensor theory of gravity by the recent observational results on gravitational waves
• No-Go Theorem for Gauss-Bonnet Inflation without Inflaton Potential
• Inflation with a quartic potential in the framework of Einstein-Gauss-Bonnet gravity
• Viable Inflationary Models in a Ghost-free Gauss-Bonnet Theory of Gravity
• Reconstruction of the Scalar Field Potential in Inflationary Models with a Gauss-Bonnet term
• Reheating in Gauss-Bonnet-coupled inflation
• Primordial Gravitational Waves Predictions for GW170817-compatible Einstein-Gauss-Bonnet Theory
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• De Sitter solutions in Einstein-Gauss-Bonnet gravity
• Gauss-Bonnet Inflation after Planck2018
• Inflation in mimetic f(G) gravity
• Construction of inflationary scenarios with the Gauss-Bonnet term and nonminimal coupling
• The simplest extension of Starobinsky inflation
• Anisotropic inflation in Gauss-Bonnet gravity
• Constraints on the Reheating Parameters after Gauss-Bonnet Inflation from the Primordial Gravitational Waves
• A Study of an Einstein Gauss-Bonnet Quintessential Inflationary Model
• Cosmological perturbations in Gauss-Bonnet quasi-dilaton massive gravity
• Inflationary Dynamics and Swampland Criteria for Modified Gauss-Bonnet Gravity Compatible with GW170817
• Reconstruction of GR cosmological solutions in modified gravity theories
• Primordial Spectra of slow-roll inflation at second-order with the Gauss-Bonnet correction
• Bottom-Up Reconstruction of Viable GW170817 Compatible Einstein-Gauss-Bonnet Theories
• $R^2$ Inflation Revisited and Dark Energy Corrections
• Warm-tachyon Gauss-Bonnet inflation in the light of Planck 2015 data
• Slow-Roll Inflation with Exponential Potential in Scalar-Tensor Models
• Instability of Black Holes with a Gauss-Bonnet Term
• Gravitational leptogenesis with kination and gravitational reheating
• New slow-roll approximations for inflation in Einstein-Gauss-Bonnet gravity
• Constraining scalar-Gauss-Bonnet Inflation by Reheating, Unitarity and PLANCK
• Exact Inflation in Einstein-Gauss-Bonnet Gravity
• Study of Goldstone Inflation in the domain of Einstein-Gauss-Bonnet gravity
• Primordial black holes in scalar field inflation coupled to the Gauss-Bonnet term with fractional power-law potentials
• Slow-Roll Inflation in Scalar-Tensor Models
• Gravitational Waves from Preheating in Gauss-Bonnet Inflation
• Revisiting slow-roll dynamics and the tensor tilt in general single-field inflation
• Collapsing spherical star in Scalar-Einstein-Gauss-Bonnet gravity with a quadratic coupling
• Configurational entropy as a bounding of Gauss-Bonnet braneworld models
• Fubini instantons in Dilatonic Einstein-Gauss-Bonnet theory of gravitation
• Further Refining Swampland dS Conjecture in Mimetic f(G) Gravity
• Phase transition for black holes in dilatonic Einstein-Gauss-Bonnet theory of gravitation
• A new approach to exact solutions construction in scalar cosmology with a Gauss-Bonnet term
• Quantum creation of traversable wormholes ex nihilo in Gauss-Bonnet-dilaton gravity
• Early universe in view of a modified theory of gravity
• Stability and topological nature of charged Gauss-Bonnet AdS black holes in five dimensions
• Primordial black holes in non-minimal Gauss-Bonnet inflation in light of the PTA data
• Inflationary Dynamics of Mutated Hilltop Inflation in Einstein-Gauss-Bonnet Gravity Under New Slow-Roll Approximations with Generalised Reheating
• WIMPs in Dilatonic Einstein Gauss-Bonnet Cosmology
• Slow-roll inflation from massive vector fields non-minimally coupled to gravity
• Power Spectra of Slow-Roll inflation in the consistent $D\to 4$ Einstein-Gauss-Bonnet gravity
• Ultraviolet Sensitivity in Higgs-Starobinsky Inflation
• Inflationary Dynamics in Einstein-Gauss-Bonnet Gravity Using New Slow-Roll Approximations considering Generalised Reheating
• Probing the early universe with a generalized action
• Deviation from Slow-Roll Regime in the EGB Inflationary Models with $r\sim N_e^{-1}$
• More accurate slow-roll approximations for inflation in scalar-tensor theories
• Higgs Inflation with linear and quadratic curvature corrections
• Primordial black holes in SB SUSY Gauss-Bonnet inflation
• Inflation and cosmological evolution with $F(R,G)$ gravity theory
• Slow-roll approximations in Einstein--Gauss--Bonnet gravity formulated in terms of e-folding numbers
• Cosmology in a model with Lagrange multiplier, and Gauss-Bonnet and non-minimal kinetic couplings
• Gauss-Bonnet Cosmology: large-temperature behaviour and bounds from Gravitational Waves
• Primordial blackholes from Gauss-Bonnet-corrected single field inflation
• Evolution of the early universe in Einstein-Cartan theory
• Gauss-Bonnet-induced symmetry breaking/restoration during inflation
• Sound Speed Resonance of Gravitational Waves in Gauss-Bonnet-coupled inflation
• Implications of pulsar timing arrays for Gauss-Bonnet Inflation
• On the coupling of vector fields to the Gauss-Bonnet invariant
• Beyond $f(\varphi )\mathcal{G}$: Gauss--Bonnet inflation with $\mu (\varphi ,X)$