Homogeneous spherically symmetric bodies with a nonminimal coupling between curvature and matter: the choice of the Lagrangian density for matter

TL;DR

This paper investigates how nonminimal matter-curvature coupling affects the structure of homogeneous spherical bodies, emphasizing the importance of the matter Lagrangian density choice through comparative analysis.

Contribution

It analyzes the impact of different matter Lagrangian densities on the structure of spherical bodies with nonminimal coupling, highlighting the physical significance of this choice.

Findings

Different Lagrangian densities lead to distinct structural modifications.

The physical relevance of the Lagrangian density choice is confirmed.

Results demonstrate the importance of Lagrangian selection in nonminimal coupling models.

Abstract

In this work we study how a nonminimal coupling between matter and gravity can modify the structure of a homogeneous spherical body. The physical relevance of the adopted Lagrangian density is ascertained, with results obtained for two different choices of the latter.