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Nonminimally Coupled Boltzmann Equation I: Foundations

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arxiv 2002.08184 v1 pith:6QUOAGNY submitted 2020-02-18 gr-qc astro-ph.CO

Orfeu Bertolami , Cláudio Gomes This is my paper · ORCID
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keywords boltzmannequationfunctionhomogeneoustheoriesanalysedcasecondition
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We derive the Boltzmann equation in the context of a gravity theory with non-minimal coupling between matter and curvature. We show that as the energy-momentum tensor is not conserved in these theories, it follows a condition on the normalisation of an homogeneous distribution function. The Boltzmann H-theorem is preserved such that the entropy vector flux is still a non-decreasing function in these theories. The case of an homogeneous and isotropic Universe is analysed.

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Cited by 1 Pith paper

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  1. Cosmological implications and causality in $f(R, L_{m}, T)$ gravity theory with observational constraints

    gr-qc 2025-01 reject novelty 4.0 of 10

    Four f(R,Lm,T) fluid models are fitted to CC+Pantheon+SH0ES data, but the assumed matter conservation contradicts the theory's field equations.

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