Pressureless static solutions in a Newton-Yukawa gravity model

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

“…This possibility has been extensively studied in the context of dark matter [25], dark energy [26], inflation [6], energy density fluctuations [27], gravitational waves [28], and the cosmic virial theorem [29]. This model has also been examined with the Newton-Schrödinger approach [30,31].…”

“…It turns out that nonminimally coupled gravity modifies the gravitational attraction by introducing both a fifth force of the Yukawa type and an extra force which depends on the spatial gradient of the Ricci scalar R. While the Yukawa force is typical also of f (R) gravity, the existence of the extra force is specific to nonminimally coupled gravity [5,33], and it is an effect of the nonminimal coupling that induces a non-vanishing covariant derivative of the energy-momentum tensor. The arising Yukawa contribution can give origin to static solutions even though in the absence of pressure [31]. The Yukawa contribution was also examined in the context of experiments in deep ocean [34] and through the Cassini radiometric experiment [35].…”

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

“…In this paper, we generalize this kinetic treatment to the quantum regime. For that purpose, we formulate a quantum kinetic approach to the NMC generalization of the Schrödinger-Poisson (SP) model [sometimes called Schrödinger-Newton model] (see also [32][33][34] for numerical simulations of NMC extensions of the SP model). The SP model relies on the combination of the Schrödinger equation and the Poisson equation describing the self-potential.…”

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

“…This possibility has been extensively studied in the context of dark matter [6], dark energy [7], inflation [8], energy density fluctuations [9], gravitational waves [10], cosmic virial theorem [11], Jeans' instability and star formation in Bok globules [12]. This model has also been examined with the Newton-Schrodinger approach [13,14].…”

“…It turns out that NMC gravity modifies the gravitational attraction by introducing both a fifth force of the Yukawa type and an extra force which depends on the spatial gradient of the Ricci scalar R. While the Yukawa force is typical also of f (R) gravity, the existence of the extra force is specific of NMC gravity [5,16], and it is an effect of the nonminimal coupling that induces a nonvanishing covariant derivative of the energy-momentum tensor. The arising Yukawa contribution can give origin to static solutions even though in the absence of pressure [14].…”