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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2509.24890 |
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| _version_ | 1866918243952754688 |
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| author | Olmo, Gonzalo J. Pinto, Miguel A. S. |
| author_facet | Olmo, Gonzalo J. Pinto, Miguel A. S. |
| contents | In this work, we discuss the conditions that allow the establishment of an equivalence between $f(R,T)=R+λh(T)$ 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2509_24890 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | On energy-momentum conservation in non-minimal geometry-matter coupling theories Olmo, Gonzalo J. Pinto, Miguel A. S. General Relativity and Quantum Cosmology High Energy Physics - Theory In this work, we discuss the conditions that allow the establishment of an equivalence between $f(R,T)=R+λh(T)$ 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. |
| title | On energy-momentum conservation in non-minimal geometry-matter coupling theories |
| topic | General Relativity and Quantum Cosmology High Energy Physics - Theory |
| url | https://arxiv.org/abs/2509.24890 |