Formalizing Slow-roll Inflation in Scalar-Tensor Theories of Gravitation

Abstract

The viability of slow-roll approximation is examined by considering the structure of phase spaces in scalar-tensor theories of gravitation and the analysis is exemplified with a nonminimally coupled scalar field to the spacetime curvature. The slow-roll field equations are obtained in the Jordan frame in two ways: first using the direct generalization of the slow-roll conditions in the minimal coupling case to nonminimal one, and second, conformal transforming the slow-roll field equations in the Einstein frame to the Jordan frame and then applying the generalized slow-roll conditions. Two inflationary models governed by the potentials $V(\varphi )\propto {\varphi }^2$ and $V(\varphi )\propto {\varphi }^4$ are considered to compare the outcomes of two methods based on the analysis of $n_s$ and $r$ values in the light of recent observational data.

arXiv comment19 pages, 5 figures. arXiv admin note: text overlap with arXiv:1504.02192

References in corpus (27)

• Particle Physics Models of Inflation and the Cosmological Density Perturbation
• Inflation Dynamics and Reheating
• Reconstructing the Inflaton Potential --- an Overview
• Formalising the Slow-Roll Approximation in Inflation
• Non-minimal coupling of the scalar field and inflation
• Question of quantum equivalence between Jordan frame and Einstein frame
• Inflation in $f(R,\varphi )$-theories and mimetic gravity scenario
• Conformal-Frame (In)dependence of Cosmological Observations in Scalar-Tensor Theory
• Frame-dependence of higher-order inflationary observables in scalar-tensor theories
• A frame independent classification of single field inflationary models
• Conformal invariance of curvature perturbation
• Conformal equivalence in classical gravity: the example of "veiled" General Relativity
• Quantum equivalence of $f(R)$ gravity and scalar-tensor theories
• Higgs Inflation with a Gauss-Bonnet term in the Jordan Frame
• Invariant slow-roll parameters in scalar-tensor theories
• Non-Minimal Two-Loop Inflation
• Generalized slow-roll inflation
• Generalized Slow Roll Conditions and the Possibility of Intermediate Scale Inflation in Scalar-Tensor Theory
• Slow Roll Inflation in Non-Minimally Coupled Theories: Hyperextended Gravity Approach
• Inflationary Parameters in Renormalization Group Improved ${\varphi }^4$ Theory
• Slow-Roll Inflation with Exponential Potential in Scalar-Tensor Models
• Slow-Roll Inflation in Scalar-Tensor Models
• $f(\varphi )R$-models for inflation
• Frame-Independent Calculation of Spectral Indices from Inflation
• Higgs Inflation with linear and quadratic curvature corrections
• Consistency of equations of motion in conformal frames
• Derivative coupling of inflaton to $R^{(3)}$

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• Global Portraits of Nonminimal Inflation: Metric and Palatini
• The Effect of Non-minimally Coupled Scalar Field on Gravitational Waves from First-order Vacuum Phase Transitions
• More accurate slow-roll approximations for inflation in scalar-tensor theories
• Holographic inflation and holographic dark energy from entropy of the anti-de Sitter black hole
• Global portraits of nonminimal inflation
• Evolution of the early universe in Einstein-Cartan theory
• Global Portraits of Inflation in Nonsingular Variables