Inflation without self-reproduction in $F(R)$ gravity

TL;DR

This paper explores inflation models within specific $F(R)$ gravity frameworks, demonstrating the possibility of inflation without self-reproduction, aligning with observational data and addressing multiverse and predictability issues.

Contribution

It introduces a class of $F(R)$ inflation models that avoid self-reproduction, inspired by Mukhanov's scalar models, and verifies their consistency with Planck data.

Findings

$F(R)$ inflation models without self-reproduction are feasible.

Models align with Planck observational constraints.

Addresses multiverse and initial condition problems.

Abstract

We investigate inflation in frames of two classes of $F(R)$ gravity and check its consistency with Planck data. It is shown that $F(R)$ inflation without self-reproduction may be constructed in close analogy with the corresponding scalar example proposed by Mukhanov for the resolution the problems of multiverse, predictability and initial conditions.