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.

arXiv comment14 pages, 2 figures, v2: minor corrections, references are added, to appear in Universe

References in corpus (60)

• Extended Theories of Gravity
• Modified Gravity Theories on a Nutshell: Inflation, Bounce and Late-time Evolution
• The Standard Model Higgs boson as the inflaton
• Dark energy in modified Gauss-Bonnet gravity: late-time acceleration and the hierarchy problem
• Gauss-Bonnet dark energy
• Higgs inflation: consistency and generalisations
• Singularity-free cosmological solutions of the superstring effective action
• Running Inflation in the Standard Model
• 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
• Classical evolution and quantum generation in generalized gravity theories including string corrections and tachyon: Unified analyses
• LambdaCDM epoch reconstruction from F(R,G) and modified Gauss-Bonnet gravities
• The fate of (phantom) dark energy universe with string curvature corrections
• Swampland Implications of GW170817-compatible Einstein-Gauss-Bonnet Gravity
• Dark energy and cosmological solutions in second-order string gravity
• The Higgs field as an inflaton
• Higgs boson, renormalization group, and naturalness in cosmology
• On the stability of the cosmological solutions in f(R,G) gravity
• Slow-roll inflation with a Gauss-Bonnet correction
• Higgs Inflation and Naturalness
• Viable Inflation in Scalar-Gauss-Bonnet Gravity and Reconstruction from Observational Indices
• On the $\Lambda$CDM Universe in $f(G)$ gravity
• Quantum scale of inflation and particle physics of the early universe
• 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
• Perturbation, Non-Gaussianity and Reheating in a GB-$\alpha$-Attractor Model
• Inflation with Gauss-Bonnet coupling
• Multifield Dynamics of Higgs Inflation
• Reconstruction and deceleration-acceleration transitions in modified gravity
• Inflation driven by Einstein-Gauss-Bonnet gravity
• 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
• Reconstruction of the Scalar Field Potential in Inflationary Models with a Gauss-Bonnet term
• Observational constraints on Gauss-Bonnet cosmology
• Inflation and Reheating in Induced Gravity
• Higgs Inflation with a Gauss-Bonnet term in the Jordan Frame
• Renormalization-group inflationary scalar electrodynamics and SU(5) scenarios confronted with Planck2013 and BICEP2 results
• Gauss-Bonnet term corrections in scalar field cosmology
• Global stability analysis for cosmological models with non-minimally coupled scalar fields
• Stability analysis of de Sitter solutions in models with the Gauss-Bonnet term
• Autonomous Dynamical System Approach for Inflationary Gauss-Bonnet Modified Gravity
• Inflationary quasi-scale invariant attractors
• Construction of inflationary scenarios with the Gauss-Bonnet term and nonminimal coupling
• Generalization of cosmological attractor approach to Einstein-Gauss-Bonnet gravity
• Cosmological attractor inflation from the RG-improved Higgs sector of finite gauge theory
• Low Scale Higgs Inflation with Gauss-Bonnet Coupling
• Reconstruction of GR cosmological solutions in modified gravity theories
• Primordial Spectra of slow-roll inflation at second-order with the Gauss-Bonnet correction
• Late-Time Cosmology of Scalar-Coupled $f(R,\mathcal{G})$ Gravity
• 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
• MSSM-inspired multifield inflation
• Quantum Cosmology and the Inflationary Spectra from a Non-Minimally Coupled Inflaton
• Deviation from Slow-Roll Regime in the EGB Inflationary Models with $r\sim N_e^{-1}$
• Renormalization-group improved inflationary scenarios

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• Recent Advances on Inflation
• A Refined Einstein-Gauss-Bonnet Inflationary Theoretical Framework
• Primordial Gravitational Waves Predictions for GW170817-compatible Einstein-Gauss-Bonnet Theory
• Construction of inflationary scenarios with the Gauss-Bonnet term and nonminimal coupling
• CMB from a Gauss-Bonnet-induced de Sitter fixed point
• Inflationary Dynamics and Swampland Criteria for Modified Gauss-Bonnet Gravity Compatible with GW170817
• Bottom-Up Reconstruction of Viable GW170817 Compatible Einstein-Gauss-Bonnet Theories
• New slow-roll approximations for inflation in Einstein-Gauss-Bonnet gravity
• 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
• Superpotential method and the amplification of inflationary perturbations
• Deviation from Slow-Roll Regime in the EGB Inflationary Models with $r\sim N_e^{-1}$
• Dynamical analysis and cosmological evolution in Weyl integrable gravity
• Slow-roll approximations in Einstein--Gauss--Bonnet gravity formulated in terms of e-folding numbers
• Gauss-Bonnet-induced symmetry breaking/restoration during inflation
• Implications of pulsar timing arrays for Gauss-Bonnet Inflation
• Stability investigations of de Sitter inflationary solutions in power-law extensions of the Starobinsky model
• String-inspired Gauss-Bonnet Gravity Inflation and ACT
• Primordial black holes formation in inflationary $F(R)$ models with scalar fields
• Reconstructing ACT-compatible and GW170817-compatible Einstein-Gauss-Bonnet Inflation from the Observational Indices
• $f(R,\mathcal{G})$-cosmological dynamics in the FLRW background
• Effect of $R^2$ on the stability of de Sitter solution of the generalized Einsteinian cubic gravity