De Sitter solutions in Einstein-Gauss-Bonnet gravity

Abstract

De Sitter solutions play an important role in cosmology because the knowledge of unstable de Sitter solutions can be useful to describe inflation, whereas stable de Sitter solutions are often used in models of late-time acceleration of the Universe. The Einstein-Gauss-Bonnet gravity cosmological models are actively used both as inflationary models and as dark energy models. To modify the Einstein equations one can add a nonlinear function of the Gauss-Bonnet term or a function of the scalar field multiplied on the Gauss-Bonnet term. The effective potential method essentially simplifies the search and stability analysis of de Sitter solutions, because the stable de Sitter solutions correspond to minima of the effective potential.

14 pages, 2 figures, v2: minor corrections, references are added, to appear in Universe

References in corpus (22)

• The Standard Model Higgs boson as the inflaton
• Dark energy in modified Gauss-Bonnet gravity: late-time acceleration and the hierarchy problem
• Higgs inflation: consistency and generalisations
• Inflation scenario via the Standard Model Higgs boson and LHC
• String-inspired Gauss-Bonnet gravity reconstructed from the universe expansion history and yielding the transition from matter dominance to dark energy
• Cosmological inflation in $F(R,\mathcal{G})$ gravity
• Swampland Implications of GW170817-compatible Einstein-Gauss-Bonnet Gravity
• On the $\Lambda$CDM Universe in $f(G)$ gravity
• Observational constraints on slow-roll inflation coupled to a Gauss-Bonnet term
• Perturbation, Non-Gaussianity and Reheating in a GB-$\alpha$-Attractor Model
• Multifield Dynamics of Higgs Inflation
• Inflation with a quartic potential in the framework of Einstein-Gauss-Bonnet gravity
• Unification of a Bounce with a Viable Dark Energy Era in Gauss-Bonnet Gravity
• The double attractor behavior of induced inflation
• Renormalization-group inflationary scalar electrodynamics and SU(5) scenarios confronted with Planck2013 and BICEP2 results
• Global stability analysis for cosmological models with non-minimally coupled scalar fields
• Generalization of cosmological attractor approach to Einstein-Gauss-Bonnet gravity
• Reconstruction of GR cosmological solutions in modified gravity theories
• Possible evolution of a bouncing universe in cosmological models with non-minimally coupled scalar fields
• Stability of Hyperbolic and Matter-Dominated Bounce Cosmologies From F(R,G) Modified Gravity at Late Evolution Stages
• Quantum Cosmology and the Inflationary Spectra from a Non-Minimally Coupled Inflaton
• Deviation from Slow-Roll Regime in the EGB Inflationary Models with $r\sim N_e^{-1}$

Cited by in corpus (4)

• A Refined Einstein-Gauss-Bonnet Inflationary Theoretical Framework
• Primordial Gravitational Waves Predictions for GW170817-compatible Einstein-Gauss-Bonnet Theory
• Bottom-Up Reconstruction of Viable GW170817 Compatible Einstein-Gauss-Bonnet Theories
• Deviation from Slow-Roll Regime in the EGB Inflationary Models with $r\sim N_e^{-1}$