Inflationary Phenomenology of Einstein Gauss-Bonnet Gravity Compatible with GW170817

Abstract

In this work we shall study Einstein Gauss-Bonnet theories and we investigate when these can have their gravitational wave speed equal to the speed of light, which is unity in natural units, thus becoming compatible with the striking event GW170817. We demonstrate how this is possible and we show that if the scalar coupling to the Gauss-Bonnet invariant is constrained to satisfy a differential equation, the gravitational wave speed becomes equal to one. Accordingly, we investigate the inflationary phenomenology of the resulting restricted Einstein Gauss-Bonnet model, by assuming that the slow-roll conditions hold true. As we demonstrate, the compatibility with the observational data coming from the Planck 2018 collaboration, can be achieved, even for a power-law potential. We restricted ourselves to the study of the power-law potential, due to the lack of analyticity, however more realistic potentials can be used, in this case though the calculations are not easy to be performed analytically. We also pointed out that a string-corrected extension of the Einstein Gauss-Bonnet model we studied, containing terms of the form $\sim \xi (\varphi )G^{ab}{\partial }_a\varphi {\partial }_b\varphi$ can also provide a theory with gravity waves speed $c_T^2=1$ in natural units, if the function $\xi (\varphi )$ is appropriately constrained, however in the absence of the Gauss-Bonnet term $\sim \xi (\varphi )\mathcal{G}$ the gravity waves speed can never be $c_T^2=1$. Finally, we discuss which extensions of the above models can provide interesting cosmologies, since any combination of $f(R,X,\varphi )$ gravities with the above string-corrected Einstein Gauss-Bonnet models can yield $c_T^2=1$, with $X=\frac{1}{2}{\partial }_{\mu }\varphi {\partial }^{\mu }\varphi$.

arXiv commentPLB Accepted

References in corpus (34)

• Unified cosmic history in modified gravity: from F(R) theory to Lorentz non-invariant models
• Multi-messenger Observations of a Binary Neutron Star Merger
• Extended Theories of Gravity
• Introduction to Modified Gravity and Gravitational Alternative for Dark Energy
• Modified Gravity Theories on a Nutshell: Inflation, Bounce and Late-time Evolution
• Modified Gauss-Bonnet theory as gravitational alternative for dark energy
• Dark Energy after GW170817: dead ends and the road ahead
• Gauss-Bonnet dark energy
• Palatini Approach to Modified Gravity: f(R) Theories and Beyond
• Quintessential inflation
• Dark energy cosmology from higher-order, string-inspired gravity and its reconstruction
• Black holes, cosmological solutions, future singularities, and their thermodynamical properties in modified gravity theories
• String-inspired Gauss-Bonnet gravity reconstructed from the universe expansion history and yielding the transition from matter dominance to dark energy
• Classical evolution and quantum generation in generalized gravity theories including string corrections and tachyon: Unified analyses
• Circular Polarization of Primordial Gravitational Waves in String-inspired Inflationary Cosmology
• Singularity-free cosmological solutions in quadratic gravity
• Dark energy from modified F(R)-scalar-Gauss-Bonnet gravity
• Cosmological perturbations in a generalized gravity including tachyonic condensation
• 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
• Inflation coupled to a Gauss-Bonnet term
• Instant Preheating in Quintessential Inflation with $\alpha$-Attractors
• Evolution of Fluctuations during Graceful Exit in String Cosmology
• Inflationary spectra in generalized gravity: Unified forms
• Perturbation, Non-Gaussianity and Reheating in a GB-$\alpha$-Attractor Model
• Constraints on scalar-tensor theory of gravity by the recent observational results on gravitational waves
• No-Go Theorem for Gauss-Bonnet Inflation without Inflaton Potential
• Viable Inflationary Models in a Ghost-free Gauss-Bonnet Theory of Gravity
• Cosmological Bound from the Neutron Star Merger GW170817 in scalar-tensor and $F(R)$ gravity theories
• On the viability of quintessential inflationary models from observational data
• Gauss-Bonnet-coupled Quintessential Inflation

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• Black holes with scalar hair in light of the Event Horizon Telescope
• The 4D Einstein-Gauss-Bonnet Theory of Gravity: A Review
• Swampland Implications of GW170817-compatible Einstein-Gauss-Bonnet Gravity
• A note on the novel 4D Einstein-Gauss-Bonnet gravity
• Unifying of Inflation with Early and Late Dark Energy Epochs in Axion $F(R)$ Gravity
• No-Hair Theorem in the Wake of Event Horizon Telescope
• Observational Constraints on the Regularized 4D Einstein-Gauss-Bonnet Theory of Gravity
• Extended matter bounce scenario in ghost free $f(R,\mathcal{G})$ gravity compatible with GW170817
• Gravity with a generalized conformal scalar field: Theory and solutions
• Non-Minimally Coupled Einstein Gauss Bonnet Inflation Phenomenology in View of GW170817
• Gauss-Bonnet term corrections in scalar field cosmology
• Reviving non-Minimal Horndeski-like Theories after GW170817: Kinetic Coupling Corrected Einstein-Gauss-Bonnet Inflation
• Black Holes in the Scalar-Tensor Formulation of 4D Einstein-Gauss-Bonnet Gravity: Uniqueness of Solutions, and a New Candidate for Dark Matter
• Inflationary magnetogenesis with reheating phase from higher curvature coupling
• A Nearly Massless Graviton in Einstein-Gauss-Bonnet Inflation with Linear Coupling Implies Constant-roll for the Scalar Field
• CMB from a Gauss-Bonnet-induced de Sitter fixed point
• Pleasant behavior of swampland conjectures in the face of specific inflationary models
• Gravitational Analysis of Rotating Charged Black Hole-Like Solution in Einstein-Gauss-Bonnet Gravity
• Late-Time Cosmology of Scalar-Coupled $f(R,\mathcal{G})$ Gravity
• Canonical Scalar Field Inflation with String and $R^2$-Corrections
• Power-Law $f(R)$ Gravity Corrected Canonical Scalar Field Inflation
• New slow-roll approximations for inflation in Einstein-Gauss-Bonnet gravity
• Global dynamics in Einstein-Gauss-Bonnet scalar field cosmology with matter
• Gauss-Bonnet Dark Energy and the Speed of Gravitational Waves
• Quintessence in the Weyl-Gauss-Bonnet model
• $k$-Inflation-corrected Einstein-Gauss-Bonnet Gravity with Massless Primordial Gravitons
• Gravitational Waves in Chern-Simons-Gauss-Bonnet Gravity
• Higher Derivative Scalar Tensor Theory in Unitary Gauge
• Gravitational waves in Modified Gauss-Bonnet Gravity
• Interacting Models of Dark Energy and Dark Matter in Einstein scalar Gauss Bonnet Gravity
• Lorentz violating inflation and the Swampland
• Scalar-Gauss-Bonnet model, the coincidence problem and the gravitational wave speed
• Gravitational waves from inflation with antisymmetric tensor field
• Generalized Horndeski-Like Einstein Gauss-Bonnet Inflation with Massless Primordial Gravitons
• Inflation with antisymmetric tensor field: new candidates
• Limiting the Number of Extra Dimensions with Shortcuts
• Slow-roll approximations in Einstein--Gauss--Bonnet gravity formulated in terms of e-folding numbers
• Gravitational Wave Distances in Horndeski Cosmology
• Primordial blackholes from Gauss-Bonnet-corrected single field inflation
• Scalar and vector modes in inflation with antisymmetric tensor field
• Sound Speed Resonance of Gravitational Waves in Gauss-Bonnet-coupled inflation
• On phenomenological parametrizations for the luminosity distance of gravitational waves
• Gauss-Bonnet-induced symmetry breaking/restoration during inflation
• Onset of dark energy from cosmological scalarization and gravitational wave speed
• Friedmann's Universe Controlled by Gauss-Bonnet Modified Gravity
• Implications of single field inflation in general cosmological scenarios on the nature of dark energy given the swampland conjectures