Dynamical $F(R)$ gravities

TL;DR

This paper proposes that $F(R)$-modified gravity models can be derived from nonperturbative quantum effects in Einstein gravity, linking quantum corrections to geometric modifications like torsion and scalar fields.

Contribution

It introduces a novel perspective that $F(R)$ gravity arises from nonperturbative quantum effects, connecting quantum corrections to geometric features such as torsion and scalar fields.

Findings

$F(R)$ gravity can be modeled as nonperturbative quantum effects.

Quantum corrections induce scalar fields and torsion in the gravitational connection.

The approach offers a new interpretation of modified gravity theories.

Abstract

It is offered that $F(R)-$modified gravities can be considered as nonperturbative quantum effects arising from Einstein gravity. It is assumed that nonperturbative quantum effects gives rise to the fact that the connection becomes incompatible with the metric, the metric factors and the square of the connection in Einstein - Hilbert Lagrangian have nonperturbative additions. In the simplest approximation both additions can be considered as functions of one scalar field. The scalar field can be excluded from the Lagrangian obtaining $F(R)-$gravity. The essence of quantum correction to the affine connection as a torsion is discussed.