On energy-momentum conservation in non-minimal geometry-matter coupling theories

Abstract

In this work, we discuss the conditions that allow the establishment of an equivalence between $f(R,T)=R+\lambda h(T)$ gravity models and General Relativity (GR) coupled to a modified matter sector. We do so by considering a $D$-dimensional spacetime and the matter sector to be described by nonlinear electrodynamics and/or a scalar field. We find that, for this particular family of models, the action and field equations can indeed be written in terms of a modified matter source within GR. However, when several matter sources are combined, this interpretation is no longer possible if $h(T)$ is a nonlinear function, due to the emergence of crossed terms that mix together the scalar and vector sectors.

9 pages. Accepted in Universe, as part of the Special Issue: "Geometric Theories of Gravity"

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Cited by in corpus (1)

• Lagrangian Identity and Mass Evolution of Particle-like Objects in Nonminimally Coupled Gravity