Inflation with Gauss-Bonnet coupling

Abstract

We consider inflationary models with the inflaton coupled to the Gauss-Bonnet term assuming a special relation ${\delta }_1=2\lambda {\epsilon }_1$ between the two slow-roll parameters ${\delta }_1$ and ${\epsilon }_1$. For the slow-roll inflation, the assumed relation leads to the reciprocal relation between the Gauss-Bonnet coupling function $\xi (\varphi )$ and the potential $V(\varphi )$, and it leads to the relation $r=16(1-\lambda ){\epsilon }_1$ that reduces the tensor-to-scalar ratio $r$ by a factor of $1-\lambda$. For the constant-roll inflation, we derive the analytical expressions for the scalar and tensor power spectra, the scalar and tensor spectral tilts, and the tensor-to-scalar ratio to the first order of ${\epsilon }_1$ by using the method of Bessel function approximation. The tensor-to-scalar ratio is reduced by a factor of $1-\lambda +\lambda \tilde{\eta }$. Comparing the derived $n_s$-$r$ with the observations, we obtain the constraints on the model parameters $\tilde{\eta }$ and $\lambda$.

arXiv comment26 pages, 7 figures, major changes, conclusion remains unchanged, PRD in press

References in corpus (58)

• Modified Gauss-Bonnet theory as gravitational alternative for dark energy
• Generalized G-inflation: Inflation with the most general second-order field equations
• Gauss-Bonnet dark energy
• BICEP2 / Keck Array VI: Improved Constraints On Cosmology and Foregrounds When Adding 95 GHz Data From Keck Array
• Singularity-free cosmological solutions of the superstring effective action
• New Model of Inflation with Non-minimal Derivative Coupling of Standard Model Higgs Boson to Gravity
• Horizon crossing and inflation with large η
• Ultra Slow-Roll Inflation and the non-Gaussianity Consistency Relation
• Primordial Black Holes and Slow-Roll Violation
• Violation of non-Gaussianity consistency relation in a single field inflationary model
• Classical evolution and quantum generation in generalized gravity theories including string corrections and tachyon: Unified analyses
• Inflation with a constant rate of roll
• Higher order corrections to primordial spectra from cosmological inflation
• Circular Polarization of Primordial Gravitational Waves in String-inspired Inflationary Cosmology
• Primordial black holes and second order gravitational waves from ultra-slow-roll inflation
• Instability of 1-loop superstring cosmology
• Singularity-free cosmological solutions in quadratic gravity
• Ultra slow-roll inflation demystified
• Improved Estimates of Cosmological Perturbations
• Slow-roll inflation with a Gauss-Bonnet correction
• Gauss-Bonnet Inflation
• Higher Curvature Corrections to Primordial Fluctuations in Slow-roll Inflation
• Power spectra from an inflaton coupled to the Gauss-Bonnet term
• Viable Inflation in Scalar-Gauss-Bonnet Gravity and Reconstruction from Observational Indices
• Evolution of cosmological perturbations in non-singular string cosmologies
• Primordial non-Gaussianities in general modified gravitational models of inflation
• Inflation coupled to a Gauss-Bonnet term
• $f(R)$ constant-roll inflation
• Evolution of Fluctuations during Graceful Exit in String Cosmology
• Constant-roll Inflation in $F(R)$ Gravity
• Observational constraints on slow-roll inflation coupled to a Gauss-Bonnet term
• Perturbation, Non-Gaussianity and Reheating in a GB-$\alpha$-Attractor Model
• Constant-roll inflation: confrontation with recent observational data
• On the constant-roll inflation
• The attractive behaviour of ultra-slow-roll inflation
• Density perturbations in the Ekpyrotic Universe and string-inspired generalizations
• No-Go Theorem for Gauss-Bonnet Inflation without Inflaton Potential
• Constant-Roll (Quasi-)Linear Inflation
• On the existence of singularity-free solutions in quartic gravity
• Inflationary models with non-minimally derivative coupling
• Anisotropic Constant-roll Inflation
• Systematics of Constant Roll Inflation
• Inflation with a Smooth Constant-Roll to Constant-Roll Era Transition
• Conserved cosmological structures in the one-loop superstring effective action
• Reconstruction of the Scalar Field Potential in Inflationary Models with a Gauss-Bonnet term
• Reheating in Gauss-Bonnet-coupled inflation
• Large-$\eta$ Constant-Roll Inflation Is Never An Attractor
• Reheating in Constant-roll $F(R)$ Gravity
• Constant-roll tachyon inflation and observational constraints
• New perspectives on constant-roll inflation
• Nonminimal coupling and inflationary attractors
• Nature of singularities in anisotropic string cosmology
• Reconstruction of constant slow-roll inflation
• Low Scale Higgs Inflation with Gauss-Bonnet Coupling
• Primordial Spectra of slow-roll inflation at second-order with the Gauss-Bonnet correction
• The observational constraint on constant-roll inflation
• Constraining scalar-Gauss-Bonnet Inflation by Reheating, Unitarity and PLANCK
• On Bouncing and Nonsingular Solutions in Einstein-scalar-Gauss-Bonnet Cosmology

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• Non-Minimally Coupled Einstein Gauss Bonnet Inflation Phenomenology in View of GW170817
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• Primordial Gravitational Waves Predictions for GW170817-compatible Einstein-Gauss-Bonnet Theory
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• Construction of inflationary scenarios with the Gauss-Bonnet term and nonminimal coupling
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• A Nearly Massless Graviton in Einstein-Gauss-Bonnet Inflation with Linear Coupling Implies Constant-roll for the Scalar Field
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• Pleasant behavior of swampland conjectures in the face of specific inflationary models
• Inflationary Dynamics and Swampland Criteria for Modified Gauss-Bonnet Gravity Compatible with GW170817
• Bottom-Up Reconstruction of Viable GW170817 Compatible Einstein-Gauss-Bonnet Theories
• Late-Time Cosmology of Scalar-Coupled $f(R,\mathcal{G})$ Gravity
• Higher-Curvature Corrections and Tensor Modes
• Power-Law $f(R)$ Gravity Corrected Canonical Scalar Field Inflation
• Canonical Scalar Field Inflation with String and $R^2$-Corrections
• New slow-roll approximations for inflation in Einstein-Gauss-Bonnet gravity
• Study of Goldstone Inflation in the domain of Einstein-Gauss-Bonnet gravity
• Slow-Roll Inflation in Scalar-Tensor Models
• Inflationary Models with Gauss-Bonnet Coupling in Light of ACT Observations
• $k$-Inflation-corrected Einstein-Gauss-Bonnet Gravity with Massless Primordial Gravitons
• Cosmological stability in $f(\varphi ,\mathcal{G})$ gravity
• On the gauge dependence of scalar induced secondary gravitational waves during radiation and matter domination eras
• Swampland Criteria and Constraints on Inflation in a $f(R,T)$ Gravity Theory
• Gauss-Bonnet inflation with a constant rate of roll
• Inflationary Dynamics of Mutated Hilltop Inflation in Einstein-Gauss-Bonnet Gravity Under New Slow-Roll Approximations with Generalised Reheating
• Inflationary Dynamics in Einstein-Gauss-Bonnet Gravity Using New Slow-Roll Approximations considering Generalised Reheating
• Inflation with Gauss-Bonnet and Chern-Simons higher-curvature-corrections in the view of GW170817
• 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
• Analytical Insights into Constant-Roll Condition: Extending the Paradigm to Non-Canonical Models
• Baryogenesis via Gravitational Spontaneous Symmetry Breaking
• Generalized Horndeski-Like Einstein Gauss-Bonnet Inflation with Massless Primordial Gravitons
• Coupled vector Gauss-Bonnet theories and hairy black holes
• Slow-roll approximations in Einstein--Gauss--Bonnet gravity formulated in terms of e-folding numbers
• Reheating era in Gauss-Bonnet theories of gravity compatible with the GW170817 event
• Gauss-Bonnet Cosmology: large-temperature behaviour and bounds from Gravitational Waves
• Primordial blackholes from Gauss-Bonnet-corrected single field inflation
• Gauss-Bonnet-induced symmetry breaking/restoration during inflation
• Sound Speed Resonance of Gravitational Waves in Gauss-Bonnet-coupled inflation
• Evolution of the early universe in Einstein-Cartan theory
• Constant-roll inflation with non-minimally derivative coupling
• Inflationary attractors from a non-canonical kinetic term
• A note on supergravity inflation in braneworld
• On the coupling of vector fields to the Gauss-Bonnet invariant
• String-inspired Gauss-Bonnet Gravity Inflation and ACT
• Reconstructing ACT-compatible and GW170817-compatible Einstein-Gauss-Bonnet Inflation from the Observational Indices