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Nonminimally coupled Boltzmann equation: Foundations

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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… Click to show full 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.

Keywords: nonminimally coupled; equation foundations; coupled boltzmann; equation; boltzmann equation

Journal Title: Physical Review D
Year Published: 2020

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