New one-parametric extension of the Starobinsky inflationary model

Abstract

We propose a one-parametric extension of the Starobinsky $R+R^2$ model by adding the $(R+m^2{\beta }^2{)}^{3/2}$ term. The parameter $m$ is the inflaton mass, which is determined in the same way as in the Starobinsky model, and $\beta$ is a dimensionless constant. Using the Einstein frame and the scalar field potential, we get the inflationary parameters of the model proposed. The value of the tensor-to-scalar ratio $r$ can be significantly larger than in the Starobinsky model. The considered inflationary model is in a good agreement with the current observational data. The corresponding scalar field potential is a polynomial of the exponential function.

arXiv comment13 pages, 1 figure. v2: Accepted for publication in Physica Scripta

References in corpus (55)

• f(R) Theories Of Gravity
• Unified cosmic history in modified gravity: from F(R) theory to Lorentz non-invariant models
• f(R) theories
• Extended Theories of Gravity
• Modified Gravity Theories on a Nutshell: Inflation, Bounce and Late-time Evolution
• Planck 2018 results. X. Constraints on inflation
• Models of f(R) Cosmic Acceleration that Evade Solar-System Tests
• Disappearing cosmological constant in f(R) gravity
• BICEP / Keck XIII: Improved Constraints on Primordial Gravitational Waves using Planck, WMAP, and BICEP/Keck Observations through the 2018 Observing Season
• Formalising the Slow-Roll Approximation in Inflation
• Inflationary cosmology in modified gravity theories
• The Newtonian Limit of F(R) gravity
• Cosmological dynamics of R^n gravity
• Improved limits on the tensor-to-scalar ratio using BICEP and Planck
• Curing singularities in cosmological evolution of F(R) gravity
• Dark Energy: the equation of state description versus scalar-tensor or modified gravity
• Inflation with a constant rate of roll
• f(R) cosmology by Noether's symmetry
• Occurrence of exact $R^2$ inflation in non-local UV-complete gravity
• Nearly Starobinsky inflation from modified gravity
• A polynomial f(R) inflation model
• Unification of Constant-roll Inflation and Dark Energy with Logarithmic $R^2$-corrected and Exponential $F(R)$ Gravity
• Modelling clusters of galaxies by f(R)-gravity
• Dark energy and dust matter phases from an exact $f(R)$-cosmology model
• Embedding (R+R^2)-Inflation into Supergravity
• Higher-Order Corrections to the Effective Gravitational Action from Noether Symmetry Approach
• $f(R)$ constant-roll inflation
• Cosmological evolution in R^2 gravity
• Delicate f(R) gravity models with disappearing cosmological constant and observational constraints on the model parameters
• Consistency relation for $R^p$ inflation
• Analytic extensions of Starobinsky model of inflation
• Accelerated Cosmological Models in Modified Gravity tested by distant Supernovae SNIa data
• Bouncing inflation in nonlinear $R^2+R^4$ gravitational model
• Beyond the Starobinsky model for inflation
• Theoretical and observational constraints of viable f(R) theories of gravity
• Consistency of inflation and preheating in F(R) supergravity
• Reconstructing a $f(R)$ theory from the $\alpha$-Attractors
• Future Oscillations around Phantom Divide in f(R) Gravity
• Unimodular Mimetic $F(R)$ Inflation
• A Panorama of Viable $F(R)$ Gravity Dark Energy Models
• Non-Gaussianities and tensor-to-scalar ratio in non-local $R^2$-like inflation
• Early and late time cosmology: the $f(R)$ gravity perspective
• Generality of Starobinsky and Higgs inflation in the Jordan frame
• Disentangling the $f(R)$ - Duality
• On the superstring-inspired quantum correction to the Starobinsky model of inflation
• Analytical solutions in $R+q{R}^n$ cosmology from singularity analysis
• Analytic Solution of the Starobinsky Model for Inflation
• Chaotic inflation in F(R) supergravity
• Higher-order extension of Starobinsky inflation: initial conditions, slow-roll regime, and reheating phase
• Running of the Spectral Index and Inflationary Dynamics of $F(R)$ Gravity
• Modified theory of gravity and the history of cosmic evolution
• Why Noether symmetry of F(R) theory yields three-half power law?
• Superpotential method for $F(R)$ cosmological models
• Generalized $R^p$-attractor Cosmology in the Jordan and Einstein Frames: New Type of Attractors and Revisiting Standard Jordan Frame $R^p$ Inflation
• Modified Starobinsky inflation by the $R\ln \left(\square \right)R$ term

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