From optics to dark matter: A review on nonlinear Schrödinger–Poisson systems

A Paredes, DN Olivieri, H Michinel - Physica D: Nonlinear Phenomena, 2020 - Elsevier
We review recent progress in Schrödinger–Poisson systems in 1+ 2 and 1+ 3 dimensions in
the presence of nonlinear terms. In a mean field approach, this mathematical model …

Equivalence principle violation in nonminimally coupled gravity and constraints from lunar laser ranging

R March, O Bertolami, M Muccino, S Dell'Agnello - Physical Review D, 2024 - APS
We analyze the dynamics of the Sun-Earth-Moon system in the context of a particular class
of theories of gravity where curvature and matter are nonminimally coupled. These theories …

Quantum kinetic theory of Jeans instability in non-minimal matter-curvature coupling gravity

C Gomes, K Ourabah - The European Physical Journal C, 2023 - Springer
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 …

Theories of gravity with nonminimal matter-curvature coupling and the de Sitter swampland conjectures

O Bertolami, C Gomes, PM Sá - Physical Review D, 2023 - APS
We discuss, in the context of alternative theories of gravity with nonminimal coupling
between matter and curvature, if inflationary solutions driven by a single scalar field can be …

Cassini and extra force constraints to nonminimally coupled gravity with a screening mechanism

R March, O Bertolami, M Muccino, C Gomes… - Physical Review D, 2022 - APS
We consider a nonminimally coupled curvature-matter gravity theory at the Solar System
scale. Both a fifth force of Yukawa type and a further non-Newtonian extra force that arises …

Jeans instability in non-minimal matter-curvature coupling gravity

C Gomes - The European Physical Journal C, 2020 - Springer
The weak field limit of the nonminimally coupled Boltzmann equation is studied, and
relations between the invariant Bardeen scalar potentials are derived. The Jean's criterion …

Pressureless static solutions in a Newton-Yukawa gravity model

TD Ferreira, J Novo, NA Silva, A Guerreiro, O Bertolami - Physical Review D, 2021 - APS
Nonminimally coupled curvature-matter gravity models are an interesting alternative to the
theory of general relativity to address the dark energy and dark matter cosmological …

Novel exact traveling wave solutions of Newton-Schrödinger system using Nucci reduction and Sardar sub-equation methods

Y Chahlaoui, AR Butt, H Abbas… - Physica …, 2024 - singdirect.iopscience.iop.org
The main theme of this piece of research is to tackle a coupled Newton-Schrödinger type
model. Two analytical techniques namely, Nucci reduction method and Sardar sub-equation …

[HTML][HTML] Exploring quantum-like turbulence with a two-component paraxial fluid of light

NA Silva, TD Ferreira, A Guerreiro - Results in Optics, 2021 - Elsevier
Fluids of light is an emergent topic in optical sciences that exploits the fluid-like properties of
light to establish controllable and experimentally accessible physical analogues of quantum …

The effects of the dark energy on the static Schrödinger–Newton system—An Adomian Decomposition Method and Padé approximants based approach

MK Mak, CS Leung, T Harko - Modern Physics Letters A, 2021 - World Scientific
The Schrödinger–Newton system is a nonlinear system obtained by coupling together the
linear Schrödinger equation of quantum mechanics with the Poisson equation of Newtonian …