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.

13 pages, 2 figures, 3 plots

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• The CosmoVerse White Paper: Addressing observational tensions in cosmology with systematics and fundamental physics
• Black Hole Solutions in Non-Minimally Coupled Weyl Connection Gravity
• On Scalar Cosmological Perturbations in Non-Minimally Coupled Weyl Connection Gravity
• Testing the Dark Universe through the Layzer-Irvine Equation
• Weak Field Limit of the Nonminimally Coupled Weyl Connection Gravity