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arXiv · 2002.08184

Nonminimally Coupled Boltzmann Equation I: Foundations

Orfeu Bertolami·Cláudio Gomes
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Abstract

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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Orfeu Bertolami, Cláudio Gomes. 2020-02-18. Nonminimally Coupled Boltzmann Equation I: Foundations. https://doi.org/10.1103/physrevd.102.084051

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