Nonminimally coupled Boltzmann equation: Foundations

We derive the Boltzmann equation in the context of a gravity theory with nonminimal 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 normalization of a homogeneous distribution function. The Boltzmann...

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Bibliographic Details
Published in:Physical review. D 2020-10, Vol.102 (8), Article 084051
Main Authors: Bertolami, Orfeu, Gomes, Cláudio
Format: Article
Language:English
Subjects:
Boltzmann transport equation
Distribution functions
Mathematical analysis
Tensors
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Summary:We derive the Boltzmann equation in the context of a gravity theory with nonminimal 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 normalization of a homogeneous distribution function. The Boltzmann H-theorem is preserved such that the entropy vector flux is still a nondecreasing function in these theories. The case of a homogeneous and isotropic universe is analyzed.
ISSN:2470-0010
2470-0029
DOI:10.1103/PhysRevD.102.084051