New slow-roll approximations for inflation in Einstein-Gauss-Bonnet gravity

Abstract

We propose new slow-roll approximations for inflationary models with the Gauss-Bonnet term. We find more accurate expressions of the standard slow-roll parameters as functions of the scalar field. To check the accuracy of approximations considered we construct inflationary models with quadratic and quartic monomial potentials and the Gauss-Bonnet term. Numerical analysis of these models indicates that the proposed inflationary scenarios do not contradict to the observation data. New slow-roll approximations show that the constructed inflationary models are in agreement with the observation data, whereas one does not get allowed observational parameters at the same values of parameters of the constructed models in the standard slow-roll approximation.

21 pages, 8 figures, v2: minor corrections, figures and references added, accepted for publication in JCAP

References in corpus (37)

• Planck 2018 results. X. Constraints on inflation
• BICEP / Keck XIII: Improved Constraints on Primordial Gravitational Waves using Planck, WMAP, and BICEP/Keck Observations through the 2018 Observing Season
• Classical evolution and quantum generation in generalized gravity theories including string corrections and tachyon: Unified analyses
• The fate of (phantom) dark energy universe with string curvature corrections
• Slow-roll inflation with a Gauss-Bonnet correction
• Power spectra from an inflaton coupled to the Gauss-Bonnet term
• Viable Inflation in Scalar-Gauss-Bonnet Gravity and Reconstruction from Observational Indices
• String-inspired cosmology: Late time transition from scaling matter era to dark energy universe caused by a Gauss-Bonnet coupling
• Evolution of cosmological perturbations in non-singular string cosmologies
• Inflation coupled to a Gauss-Bonnet term
• Evolution of Fluctuations during Graceful Exit in String Cosmology
• Observational constraints on slow-roll inflation coupled to a Gauss-Bonnet term
• A Refined Einstein-Gauss-Bonnet Inflationary Theoretical Framework
• Inflation with Gauss-Bonnet coupling
• Inflationary Phenomenology of Einstein Gauss-Bonnet Gravity Compatible with GW170817
• Updated constraints on amplitude and tilt of the tensor primordial spectrum
• Inflation driven by Einstein-Gauss-Bonnet gravity
• No-Go Theorem for Gauss-Bonnet Inflation without Inflaton Potential
• Inflation with a quartic potential in the framework of Einstein-Gauss-Bonnet gravity
• Reheating in Gauss-Bonnet-coupled inflation
• Reconstruction of the Scalar Field Potential in Inflationary Models with a Gauss-Bonnet term
• Higgs Inflation with a Gauss-Bonnet term in the Jordan Frame
• De Sitter solutions in Einstein-Gauss-Bonnet gravity
• Stability analysis of de Sitter solutions in models with the Gauss-Bonnet term
• Gauss-Bonnet Inflation after Planck2018
• Construction of inflationary scenarios with the Gauss-Bonnet term and nonminimal coupling
• Generalization of cosmological attractor approach to Einstein-Gauss-Bonnet gravity
• Constraints on the Reheating Parameters after Gauss-Bonnet Inflation from the Primordial Gravitational Waves
• CMB from a Gauss-Bonnet-induced de Sitter fixed point
• Low Scale Higgs Inflation with Gauss-Bonnet Coupling
• A Study of an Einstein Gauss-Bonnet Quintessential Inflationary Model
• Inflationary Dynamics and Swampland Criteria for Modified Gauss-Bonnet Gravity Compatible with GW170817
• Bottom-Up Reconstruction of Viable GW170817 Compatible Einstein-Gauss-Bonnet Theories
• Primordial black holes from Higgs inflation with a Gauss-Bonnet coupling
• Formalizing Slow-roll Inflation in Scalar-Tensor Theories of Gravitation
• Deviation from Slow-Roll Regime in the EGB Inflationary Models with $r\sim N_e^{-1}$
• Comoving curvature perturbation in Jordan and Einstein frames

Cited by in corpus (10)

• Inflationary Dynamics in Einstein-Gauss-Bonnet Gravity Using New Slow-Roll Approximations considering Generalised Reheating
• More accurate slow-roll approximations for inflation in scalar-tensor theories
• Holographic inflation and holographic dark energy from entropy of the anti-de Sitter black hole
• Slow-roll approximations in Einstein--Gauss--Bonnet gravity formulated in terms of e-folding numbers
• Evolution of the early universe in Einstein-Cartan theory
• Implications of pulsar timing arrays for Gauss-Bonnet Inflation
• Gauss-Bonnet-induced symmetry breaking/restoration during inflation
• Avoiding Big Rip Singularities in Phantom Scalar Field theory with Gauss-Bonnet term
• Anisotropic Spacetimes in $f(G)$-gravity: Bianchi I, Bianchi III and Kantowski-Sachs Cosmologies
• $f(R,\mathcal{G})$-cosmological dynamics in the FLRW background