Stable super-inflating cosmological solutions in f(R)-gravity

Abstract

We consider super-inflating solutions in modified gravity for several popular families of $f(R)$ functions. Using scalar field reformulation of $f(R)$-gravity we describe how the form of effective scalar field potential can be used for explaining existence of stable super-inflation solutions in the theory under consideration. Several new solutions of this type have been found analytically and checked numerically.

16 pages with 22 figures. Journal version. Improvement in presentation, references added

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Cited by in corpus (17)

• Cosmological dynamics in f(R) gravity
• Bouncing Universes in Scalar-Tensor Gravity Models admitting Negative Potentials
• Qualitative analysis of Kantowski-Sachs metric in a generic class of $f(R)$ models
• Superpotential method for chiral cosmological models connected with modified gravity
• The Classical and Loop Quantum Cosmology Phase Space of Interacting Dark Energy and Superfluid Dark Matter
• Cosmology with a light ghost
• Phenomenological Fluids from Interacting Tachyonic Scalar Fields
• A viable logarithmic f(R) model for inflation
• Tabletop potentials for inflation from $f(R)$ gravity
• On stability of the Kasner solution in quadratic gravity
• Scalar Field Cosmologies With Inverted Potentials
• Multiple $\Lambda$CDM cosmology with string landscape features and future singularities
• Asymptotic solutions in f(R)-gravity
• Cosmological Issues in $F(T)$ Gravity Theory
• Phenomenologically varying $\Lambda$ and a toy model for the Universe
• Stability investigations of de Sitter inflationary solutions in power-law extensions of the Starobinsky model
• Stable massless scalar polarization of f(R) gravity