A polynomial affine model of gravity: after ten years

TL;DR

This paper reviews ten years of development of the polynomial affine model of gravity, highlighting its comprehensive nature and potential as an alternative to traditional gravitational theories.

Contribution

It provides a comprehensive review of the model's progress over a decade and outlines future research directions.

Findings

Contains all diffeomorphism-compatible field combinations

Offers an alternative framework to metric gravity

Demonstrates the model's robustness over ten years

Abstract

The polynomial affine model of gravity was proposed as an alternative to metric and metric-affine gravitational models. What at the beginning was thought as a source of unpredictability, the presence of many terms in the action, turned out to be a milestone, since it contains all possible combinations of the fields compatible with the covariance under diffeomorphisms. Here, we present a review of the advances in the analysis of the model after ten years of its proposal, and sketch the guideline of our future perspectives.