Inflationary Dynamics and Swampland Criteria for Modified Gauss-Bonnet Gravity Compatible with GW170817

Abstract

In this article we present an alternative formalism for the inflationary phenomenology of rescaled Einstein-Gauss-Bonnet models which are in agreement with the GW170817 event. By constraining the propagation velocity of primordial tensor perturbations, an approximate form for the time derivative of the scalar field coupled to the Gauss-Bonnet density is extracted. In turn, the overall degrees of freedom decrease and similar to the case of the canonical scalar field, only one scalar function needs to be designated, while the other is extracted from the continuity equation of the scalar field. We showcase explicitly that the slow-roll indices can be written in a closed form as functions of three dimensionless parameters, namely $x=\frac{1}{2\alpha }(\frac{\kappa {\xi }^{\prime }}{{\xi }^{\prime \prime }}{)}^2$, $\beta =8H^2{\xi }^{\prime \prime }$ and $\gamma =\frac{{\xi }^{\prime }{\xi }^{\prime \prime \prime }}{{\xi }^{\prime \prime 2}}$ and in turn, we prove that the Einstein-Gauss-Bonnet model can in fact produce a blue-tilted tensor spectral index if the condition $\beta \ge 1$ is satisfied, which is possible only for Einstein-Gauss-Bonnet models with ${\xi }^{\prime \prime }({\varphi }_k)>0$. Afterwards, a brief comment on the running of the spectral indices is made where it is shown that $a_{\mathcal{S}}(k_{\ast })$ and $a_{\mathcal{T}}(k_{\ast })$ in the constrained case are approximately of the order $\mathcal{O}(10^{-3})$, if not smaller. Last but not least, we examine the conditions under which the Swampland criteria are satisfied. We connect the tracking condition related to scalar field theories with the present models, and we highlight the important feature of the models we propose that the tracking condition can be satisfied only if the Swampland criteria are simultaneously satisfied, however the cases with $\xi \sim 1/V$ and $\xi \sim V$ are excluded, as they cannot describe the inflationary era properly.

arXiv commentPRD Accepted, abstract reduced due to arXiv limitations

References in corpus (134)

• GW170817: Observation of Gravitational Waves from a Binary Neutron Star Inspiral
• Unified cosmic history in modified gravity: from F(R) theory to Lorentz non-invariant models
• Multi-messenger Observations of a Binary Neutron Star Merger
• Gravitational Waves and Gamma-rays from a Binary Neutron Star Merger: GW170817 and GRB 170817A
• Extended Theories of Gravity
• Modified Gravity Theories on a Nutshell: Inflation, Bounce and Late-time Evolution
• Particle Physics Models of Inflation and the Cosmological Density Perturbation
• Cosmological Tracking Solutions
• Modified Gauss-Bonnet theory as gravitational alternative for dark energy
• On the Geometry of the String Landscape and the Swampland
• Dark Energy after GW170817: dead ends and the road ahead
• Possibility of Direct Measurement of the Acceleration of the Universe Using 0.1 Hz Band Laser Interferometer Gravitational Wave Antenna in Space
• Cosmological Backgrounds of Gravitational Waves
• Gravitational Radiation from First-Order Phase Transitions
• The Swampland: Introduction and Review
• Strong constraints on cosmological gravity from GW170817 and GRB 170817A
• Dark Energy after GW170817 and GRB170817A
• What would we learn by detecting a gravitational wave signal in the cosmic microwave background anisotropy?
• Distance and de Sitter Conjectures on the Swampland
• Implications of the Neutron Star Merger GW170817 for Cosmological Scalar-Tensor Theories
• Gauss-Bonnet dark energy
• Beyond LISA: Exploring Future Gravitational Wave Missions
• Dilatonic Black Holes in Higher Curvature String Gravity
• On the Cosmological Implications of the String Swampland
• Singularity-free cosmological solutions of the superstring effective action
• Bounds on Slow Roll and the de Sitter Swampland
• Dark energy cosmology from higher-order, string-inspired gravity and its reconstruction
• The Quest for B Modes from Inflationary Gravitational Waves
• MeV-scale reheating temperature and thermalization of oscillating neutrinos by radiative and hadronic decays of massive particles
• String-inspired Gauss-Bonnet gravity reconstructed from the universe expansion history and yielding the transition from matter dominance to dark energy
• Probing the early universe with inflationary gravitational waves
• Cosmological inflation in $F(R,\mathcal{G})$ gravity
• Classical evolution and quantum generation in generalized gravity theories including string corrections and tachyon: Unified analyses
• Reheating predictions in single field inflation
• Tensor Perturbations in Inflationary Models as a Probe of Cosmology
• Implications of the NANOGrav results for inflation
• The landscape, the swampland and the era of precision cosmology
• Direct detection of the inflationary gravitational wave background
• Circular Polarization of Primordial Gravitational Waves in String-inspired Inflationary Cosmology
• Hubble Sinks In The Low-Redshift Swampland
• Gravitational-wave cosmology across 29 decades in frequency
• Cosmic Microwave Background Fluctuations from Gravitational Waves: An Analytic Approach
• LISA for Cosmologists: Calculating the Signal-to-Noise Ratio for Stochastic and Deterministic Sources
• Instability of 1-loop superstring cosmology
• Swampland Implications of GW170817-compatible Einstein-Gauss-Bonnet Gravity
• The string swampland constraints require multi-field inflation
• Primordial gravitational waves from NANOGrav: a broken power-law approach
• Dilatonic Black Holes in Higher-Curvature String Gravity II: Linear Stability
• Singularity-free cosmological solutions in quadratic gravity
• A note on the novel 4D Einstein-Gauss-Bonnet gravity
• Slow-roll inflation with a Gauss-Bonnet correction
• Gauss-Bonnet Inflation
• Sensitivity to a Frequency-Dependent Circular Polarization in an Isotropic Stochastic Gravitational Wave Background
• The zoo plot meets the swampland: mutual (in)consistency of single-field inflation, string conjectures, and cosmological data
• One-Loop Superstring Cosmology and the Non-Singular Universe
• Power spectra from an inflaton coupled to the Gauss-Bonnet term
• Viable Inflation in Scalar-Gauss-Bonnet Gravity and Reconstruction from Observational Indices
• Primordial non-Gaussianities in general modified gravitational models of inflation
• Calculations of Inflaton Decays and Reheating: with Applications to No-Scale Inflation Models
• Inflation coupled to a Gauss-Bonnet term
• Relic gravitational waves and their detection
• Rescaled Einstein-Hilbert Gravity from $f(R)$ Gravity: Inflation, Dark Energy and the Swampland Criteria
• Observational constraints on slow-roll inflation coupled to a Gauss-Bonnet term
• de Sitter Swampland, $H_0$ tension & observation
• Relic Gravitational Waves in the Accelerating Universe
• Perturbation, Non-Gaussianity and Reheating in a GB-$\alpha$-Attractor Model
• A Refined Einstein-Gauss-Bonnet Inflationary Theoretical Framework
• Inflation with Gauss-Bonnet coupling
• Thermal history of the plasma and high-frequency gravitons
• Constraints on primordial gravitational waves from the Cosmic Microwave Background
• Do We Live in the Swampland?
• Spectrum of Primordial Gravitational Waves in Modified Gravities: A Short Overview
• Runaway Quintessence, Out of the Swampland
• Quintessence Saves Higgs Instability
• The Swampland, Quintessence and the Vacuum Energy
• Bounce universe from string-inspired Gauss-Bonnet gravity
• Non-Minimally Coupled Einstein Gauss Bonnet Inflation Phenomenology in View of GW170817
• Inflation with a quartic potential in the framework of Einstein-Gauss-Bonnet gravity
• F-theory and Dark Energy
• Detecting Relic Gravitational Waves by Pulsar Timing Arrays: Effects of Cosmic Phase Transitions and Relativistic Free-Streaming Gases
• Large and Ultra-compact Gauss-Bonnet Black Holes with a Self-interacting Scalar Field
• On the covariant formalism of the effective field theory of gravity and leading order corrections
• Pixelated Dark Energy
• Dark energy beyond quintessence: Constraints from the swampland
• On the Existence of Solutions with a Horizon in Pure Scalar-Gauss-Bonnet Theories
• Reheating in Gauss-Bonnet-coupled inflation
• Primordial Gravitational Waves Predictions for GW170817-compatible Einstein-Gauss-Bonnet Theory
• Quantum Log-Corrections to Swampland Conjectures
• Supersymmetric Protection and the Swampland
• Accelerating Universes in String Theory via Field Redefinition
• Double-peaked inflation model: Scalar induced gravitational waves and primordial-black-hole suppression from primordial non-Gaussianity
• Type I Hilltop Inflation and the Refined Swampland Criteria
• Gauss-Bonnet term corrections in scalar field cosmology
• Propagating Speed of Primordial Gravitational Waves
• Reviving non-Minimal Horndeski-like Theories after GW170817: Kinetic Coupling Corrected Einstein-Gauss-Bonnet Inflation
• Reconstruction of quintessence field for the THDE with swampland correspondence in $f(R,T)$ gravity
• De Sitter solutions in Einstein-Gauss-Bonnet gravity
• Phenomenological Consequences of the Refined Swampland Conjecture
• Swampland criteria for a dark-energy dominated universe, ensuing from Gaussian process and H(z) data analysis
• Gauss-Bonnet Inflation after Planck2018
• Higgs Inflation and the Refined dS Conjecture
• Swampland conjecture in $f(R)$ gravity by the Noether Symmetry Approach
• Electroweak relaxation of cosmological hierarchy
• Particle-like ultracompact objects in Einstein-scalar-Gauss-Bonnet theories
• Construction of inflationary scenarios with the Gauss-Bonnet term and nonminimal coupling
• Quantifying the reheating temperature of the universe
• Minimal gauge inflation and the refined Swampland conjecture
• Towards a reliable calculation of relic radiation from primordial gravitational waves
• Constraints on the Reheating Parameters after Gauss-Bonnet Inflation from the Primordial Gravitational Waves
• A Nearly Massless Graviton in Einstein-Gauss-Bonnet Inflation with Linear Coupling Implies Constant-roll for the Scalar Field
• Multi-field dark energy: cosmic acceleration on a steep potential
• Kinetic Axion $F(R)$ Gravity Inflation
• Hyperbolic field space and swampland conjecture for DBI scalar
• Multi-field Inflation in High-Slope Potentials
• $D\to 4$ Einstein-Gauss-Bonnet Gravity and Beyond
• Relating the scalar weak gravity conjecture and the swampland distance conjecture for an accelerating universe
• Eternal Inflation, Entropy Bounds and the Swampland
• Bottom-Up Reconstruction of Viable GW170817 Compatible Einstein-Gauss-Bonnet Theories
• Emergent Dark Universe and the Swampland Criteria
• Late-Time Cosmology of Scalar-Coupled $f(R,\mathcal{G})$ Gravity
• The P-V Phase Transition of the FRW Universe
• Primordial black holes and gravitational waves in teleparallel Gravity
• On the running of the spectral index to all orders: a new model dependent approach to constrain inflationary models
• Reheating Constraints on Inflaton, Dark Matter: Swampland Conjecture
• Isocurvature Perturbations of Dark Energy and Dark Matter from the Swampland Conjecture
• Swampland Criteria in the Slotheon Field Dark Energy
• Gravitational Waves from Preheating in Gauss-Bonnet Inflation
• Generalizing the Constant-roll Condition in Scalar Inflation
• The Swampland Conjectures and Slow-Roll Thawing Quintessence
• Constraints on dark energy models from the Horndeski theory
• Preheating constraints in $\alpha$-attractor inflation and Gravitational Waves production
• The Effect of Non-minimally Coupled Scalar Field on Gravitational Waves from First-order Vacuum Phase Transitions
• Swampland conjectures and single field inflation in non-standard cosmological scenarios
• Reheating era in Gauss-Bonnet theories of gravity compatible with the GW170817 event

Cited by in corpus (13)

• Inflation, the Hubble Tension and Early Dark Energy: an alternative overview
• Inflationary Potential as seen from Different Angles: Model Compatibility from Multiple CMB Missions
• New slow-roll approximations for inflation in Einstein-Gauss-Bonnet gravity
• Primordial black holes in scalar field inflation coupled to the Gauss-Bonnet term with fractional power-law potentials
• Tracking the Multifield Dynamics with Cosmological Data: A Monte Carlo approach
• Inflationary Models with Gauss-Bonnet Coupling in Light of ACT Observations
• Can nonlocal gravity really explain dark energy?
• Interacting Models of Dark Energy and Dark Matter in Einstein scalar Gauss Bonnet Gravity
• Primordial black holes in SB SUSY Gauss-Bonnet inflation
• Hitchhiker's Guide to the Swampland: The Cosmologist's Handbook to the string-theoretical Swampland Programme
• Slow-roll approximations in Einstein--Gauss--Bonnet gravity formulated in terms of e-folding numbers
• Constant-roll inflation with tachyon field in the holographic braneworld
• Implications of pulsar timing arrays for Gauss-Bonnet Inflation