Parameterized non-relativistic limit of stellar structure equations in Ricci-based gravity theories

TL;DR

This paper derives the non-relativistic limit of stellar structure equations within Ricci-based gravity theories, revealing four key parameters influencing star modeling and potential observable effects.

Contribution

It introduces a parameterized non-relativistic limit for Ricci-based gravity theories, expanding understanding of stellar structures in these alternative gravity models.

Findings

Four parameters characterize the non-relativistic limit.

The results impact modeling of main-sequence and substellar objects.

Potential observational signatures in stellar phenomenology.

Abstract

We present the non-relativistic limit of the stellar structure equations of Ricci-based gravities, a family of metric-affine theories whose Lagrangian is built via contractions of the metric with the Ricci tensor of an a priori independent connection. We find that this limit is characterized by four parameters that arise in the expansion of several geometric quantities in powers of the stress-energy tensor of the matter fields. We discuss the relevance of this result for the phenomenology of non-relativistic stars, such as main-sequence stars as well as several substellar objects.