The f(R) Gravity Function of the Linde Quintessence

Abstract

We calculate the f(R) gravity function in the dual gravity description of the quintessence model with a quadratic (Linde) scalar potential and a positive cosmological constant. We find that in the large curvature regime relevant to chaotic inflation in early Universe, the dual f(R) gravity is well approximated by the (matter) loop-corrected Starobinsky inflationary model. In the small curvature regime relevant to dark energy in the present Universe, the f(R) gravity function reduces to the Einstein-Hilbert one with a positive cosmological constant.

LaTeX, 8 pages, 4 figures, a reference added, conclusion expanded

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Cited by in corpus (15)

• Starobinsky-like two-field inflation
• Inflation in scale-invariant theories of gravity
• On the equivalence between Starobinsky and Higgs inflationary models in gravity and supergravity
• Disentangling the $f(R)$ - Duality
• A viable logarithmic f(R) model for inflation
• Exact and slow-roll solutions for exponential power-law inflation connected with f(R) gravity and observational constraints
• Inflation from $(R+\gamma R^n-2\Lambda )$ Gravity in Higher Dimensions
• Superpotential method for $F(R)$ cosmological models
• Inflation from higher dimensions
• Starobinsky inflation beyond the leading order
• Dark Matter in logarithmic $F(R)$ gravity
• $f(R)$ Dual Theories of Quintessence : Expansion-Collapse Duality
• Pure geometric $f(R)$ branes
• Starobinsky inflation and Swampland conjectures
• Loop-corrected scalar potentials and late-time acceleration in f(R) gravity