G-inflation: From the intermediate, logamediate and exponential models

Abstract

The intermediate, logamediate and exponential inflationary models in the context of Galileon inflation or G-inflation are studied. By assuming a coupling of the form $G(\varphi ,X)\propto {\varphi }^{\nu }{X}^n$ in the action, we obtain different analytical solutions from the background cosmological perturbations assuming the slow-roll approximation. General conditions required for these models of G-inflation to be realizable are determined and discussed. In general, we analyze the condition of inflation and also we use recent astronomical and cosmological observations for constraining the parameters appearing in these G-inflationary models.

27 pages and 2 figures. Non-Gaussianities added, accepted by EPJC

References in corpus (18)

• Covariant Galileon
• Observational Signatures and Non-Gaussianities of General Single Field Inflation
• Strong constraints on cosmological gravity from GW170817 and GRB 170817A
• Implications of the Neutron Star Merger GW170817 for Cosmological Scalar-Tensor Theories
• Imperfect Dark Energy from Kinetic Gravity Braiding
• G-inflation: inflation driven by the Galileon field
• Galileon inflation
• Scalar-tensor theories and modified gravity in the wake of GW170817
• Higgs G-inflation
• Dynamics of Logamediate Inflation
• Intermediate inflation in light of the three-year WMAP observations
• Primordial non-Gaussianity from G-inflation
• Potential-driven Galileon inflation
• General dissipative coefficient in warm intermediate inflation in loop quantum cosmology in light of Planck and BICEP2
• Intermediate inflation on the brane
• Curvaton field and intermediate inflationary universe model
• Warm intermediate inflation in the Randall-Sundrum II model in the light of Planck 2015 and BICEP2 results: A general dissipative coefficient
• Galileon intermediate inflation

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• Integrability and Cosmological Solutions in Einstein-aether-Weyl theory
• G-Warm inflation: Intermediate model
• Generalized Galileon Scenario Inspires Chaotic Inflation
• Intermediate inflation in generalized non-minimal derivative coupling model