Sub-Planckian scale and limits for $f(R)$ models

Abstract

We study the Universe evolution starting from the sub-Planckian scale to present times. The requirement for an exponential expansion of the space with the observed metric as a final stage leads to significant restrictions on the parameter values of a $f(R)$-function. An initial metric of the Universe is supposed to be maximally symmetric with the positive curvature.

References in corpus (11)

• Disappearing cosmological constant in f(R) gravity
• Beyond the Cosmological Standard Model
• Class of viable modified $f(R)$ gravities describing inflation and the onset of accelerated expansion
• The relativistic pulsar-white dwarf binary PSR J1738+0333 II. The most stringent test of scalar-tensor gravity
• Observational signatures of f(R) dark energy models that satisfy cosmological and local gravity constraints
• Dark Matter from R^2-gravity
• Unifying of Inflation with Early and Late Dark Energy Epochs in Axion $F(R)$ Gravity
• Scalaron the mighty: producing dark matter and baryon asymmetry at reheating
• Geometric Inflation and Dark Energy with Axion $F(R)$ Gravity
• Rescaled Einstein-Hilbert Gravity from $f(R)$ Gravity: Inflation, Dark Energy and the Swampland Criteria
• Gravity with Higher Derivatives in D-Dimensions