Reconstructing G-inflation: From the attractors $n_S(N)$ and $r(N)$

Abstract

The reconstruction of an inflationary universe in the context of the Galileon model or G-model, considering as attractors the scalar spectral index $n_S(N)$ and the tensor to scalar ratio $r(N)$ as a function of the number of e-folding $N$ is studied. By assuming a coupling of the form $G(\varphi ,X)=g(\varphi )X$, we obtain the effective potential $V$ and the coupling parameter $g$ in terms of the cosmological parameters $n_S$ and $r$ under the slow roll approximation. From some examples for $n_S(N)$ and $r(N)$, different results for the effective potential $V(\varphi )$ and the coupling parameter $g(\varphi )$ are found.

18 pages and 1 figure. References added and with minor change

References in corpus (18)

• GW170817: Observation of Gravitational Waves from a Binary Neutron Star Inspiral
• Multi-messenger Observations of a Binary Neutron Star Merger
• Gravitational Waves and Gamma-rays from a Binary Neutron Star Merger: GW170817 and GRB 170817A
• The Standard Model Higgs boson as the inflaton
• Imperfect Dark Energy from Kinetic Gravity Braiding
• G-inflation: inflation driven by the Galileon field
• Higgs G-inflation
• Observational constraints on Galileon cosmology
• Universality of multi-field $\alpha$-attractors
• Attractor Behaviour in Multifield Inflation
• Potential-driven Galileon inflation
• The Reconstruction of $f(\varphi )R$ and Mimetic Gravity from Viable Slow-roll Inflation
• Reconstruction of Slow-roll $F(R)$ Gravity Inflation from the Observational Indices
• Constraints on the spectral index for the inflation models in string landscape
• Reconstructing a $f(R)$ theory from the $\alpha$-Attractors
• Reconstructing warm inflation
• Attractor Cosmology from non-minimally Coupled Gravity
• Differentiating G-inflation from String Gas Cosmology using the Effective Field Theory Approach

Cited by in corpus (6)

• Viable Inflation in Scalar-Gauss-Bonnet Gravity and Reconstruction from Observational Indices
• Model-independent reconstruction of $f(T)$ gravity from Gaussian Processes
• Reconstructing inflation in scalar-torsion $f(T,\varphi )$ gravity
• Unifying Inflation with early and late Dark Energy in Multi-Fields: Spontaneously broken scale invariant TMT
• Reconstructing k-essence: Unifying the attractor $n_S(N)$ and the swampland criteria
• G-Warm inflation: Intermediate model