https://doi.org/10.1140/epjc/s10052-023-11184-9
Regular Article - Theoretical Physics
Quantum kinetic theory of Jeans instability in non-minimal matter-curvature coupling gravity
1
Faculdade de Ciências e Tecnologia, Universidade dos Açores, Campus de Ponta Delgada, Rua da Mãe de Deus, 9500-321, Ponta Delgada, Portugal
2
Centro de Física das Universidades do Minho e do Porto, Rua do Campo Alegre s/n, 4169-007, Porto, Portugal
3
Institute of Marine Sciences-OKEANOS, University of the Azores, Horta, Portugal
4
Theoretical Physics Laboratory, Faculty of Physics, University of Bab-Ezzouar, USTHB, Boite Postale 32, El Alia, 16111, Algiers, Algeria
Received:
19
October
2022
Accepted:
27
December
2022
Published online:
19
January
2023
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 (Gomes in 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.
© The Author(s) 2023
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