Conservation laws in gravitational theories with general nonminimal coupling

TL;DR

This paper derives generalized conservation laws for gravitational theories with arbitrary nonminimal matter coupling, extending previous results and enabling the derivation of equations of motion for test bodies in such models.

Contribution

It introduces a generalized framework for conservation laws in nonminimally coupled gravitational models using Lagrange-Noether methods, broadening the scope of prior work.

Findings

Derived generalized conservation laws for nonminimally coupled gravity

Extended previous models to arbitrary dependence on gravitational strength

Provided basis for equations of motion of test bodies in these theories

Abstract

We use the Lagrange-Noether methods to derive the conservation laws for models in which matter interacts nonminimally with the gravitational field. The nonminimal coupling function can depend arbitrarily on the gravitational field strength. The obtained result generalizes earlier findings. The generalized conservation laws provide the basis for the derivation of the equations of motion for the nonminimally coupled test bodies.