Quantum kinetic theory of Jeans instability in non-minimal matter-curvature coupling gravity
Abstract
We present a quantum treatment of the Jeans gravitational instability in the Newtonian limit of the non-minimal matter-curvature coupling gravity model. By relying on Wigner functions, allowing for the representation of quantum states in a classical phase space, we formulate a quantum kinetic treatment of this problem, generalizing the classical kinetic approach [C. Gomes, Eur. Phys. J. C 80, 633 (2020)]. This allows us to study the interplay between non-minimal matter-curvature coupling effects, quantum effects, and kinetic (finite-temperature) effects, on the Jeans criterion. We study in detail special cases of the model (general relativity, f(R) theories, pure non-minimal coupling, etc.) and confront the model with the observed stability of Bok globules.
Keywords
Cite
@article{arxiv.2204.07871,
title = {Quantum kinetic theory of Jeans instability in non-minimal matter-curvature coupling gravity},
author = {Cláudio Gomes and Kamel Ourabah},
journal= {arXiv preprint arXiv:2204.07871},
year = {2023}
}
Comments
13 pages, 2 figures, 3 plots