Non-metric construction of spacetime defects

TL;DR

This paper models spacetime defects using non-metricity tensors within $f(R)$ theories, offering insights into spacetime foam structures and their physical implications.

Contribution

It introduces a novel non-metric construction of spacetime defects and analyzes their effects in various $f(R)$ gravity models.

Findings

Non-metricity models spacetime foam effectively.

Impacts on gravitational dynamics in $f(R)$ theories.

Potential implications for quantum gravity and spacetime structure.

Abstract

We describe a spacetime endowed with a non-metricity tensor which effectively serves as a model of a spacetime foam. We explore the consequences of the non-metricity in several $f(R)$ theories.