Eddington inspired Born Infeld Theory: A new look to the matter-coupling paradigm

TL;DR

This paper explores a novel approach to matter-gravity coupling in the Eddington inspired Born-Infeld gravity, challenging the traditional proportionality assumption and examining consistent modifications to the coupling paradigm.

Contribution

It introduces a new perspective on matter-gravity coupling within the Eddington Born-Infeld framework, highlighting alternative consistent coupling methods.

Findings

Proposes a modified matter-gravity coupling scheme.

Analyzes implications of non-proportional Einstein tensor and stress tensor.

Suggests potential for new gravitational phenomenology.

Abstract

We discuss some of the consequences of changing the matter to gravity coupling without affecting the gravitational dynamics. The Einstein tensor is usually assumed to be proportional to the stress tensor due to the divergence free property of both object. This is not the only consistent way to couple matter to gravity; we explore some aspect of consistent modification to the matter/gravity coupling using the recently proposed Eddington inspired Born Infeld extension of gravity.