Non-local $F(R)$-mimetic gravity

TL;DR

This paper explores non-local $F(R)$-mimetic gravity models, analyzing their implications for early universe phenomena like inflation and bouncing cosmologies, while ensuring compatibility with late-time dark matter behavior.

Contribution

It introduces a framework combining non-local $F(R)$-gravity with mimetic fields and investigates specific models for early universe scenarios.

Findings

Models can produce inflationary and bouncing solutions.

Compatibility with Einstein gravity and cold dark matter at late times.

Potential for explaining early universe dynamics with non-local modifications.

Abstract

In this paper, we study non-local $F(R)$-mimetic gravity. We implement mimetic gravity in the framework of non-local $F(R)$-theories of gravity. Given some specific class of models and using a potential on the mimetic field, we investigate some scenarios related to the early-time universe, namely the inflation and the cosmological bounce, compatibly with Einstein's gravity with cold dark matter at the late-time.