dorsal/arxiv
View SchemaGross-Pitaevskii-Poisson equations with a $\xi R \phi^4$ non-minimal coupling term
| Authors | Bryan Cordero-Patino, Álvaro Duenas-Vidal, Jorge Segovia |
|---|---|
| Categories | |
| ArXiv ID | 2601.07420vv1 |
| URL | https://arxiv.org/abs/2601.07420 |
| License | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ |
Abstract
In scenarios where the Peccei-Quinn symmetry breaks after inflation, small-scale axion inhomogeneities may gravitationally collapse into bound structures. The evolution of these systems is typically modeled through cosmological perturbation theory applied to the Einstein-Klein-Gordon equations. In the non-relativistic regime, this framework reduces to the Gross-Pitaevskii-Poisson or Schr\"odinger-Poisson equations, depending on whether axion self-interactions are taken into account. In this work, a non-minimal gravitational coupling term $\xi R \phi^4$ is included into the axion's relativistic action as a way to introduce a gravitationally mediated pairwise interaction. By performing a perturbative expansion and subsequently taking the non-relativistic limit, an alternative set of equations that govern the early stages of structure formation is obtained.
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"abstract": "In scenarios where the Peccei-Quinn symmetry breaks after inflation, small-scale axion inhomogeneities may gravitationally collapse into bound structures. The evolution of these systems is typically modeled through cosmological perturbation theory applied to the Einstein-Klein-Gordon equations. In the non-relativistic regime, this framework reduces to the Gross-Pitaevskii-Poisson or Schr\\\"odinger-Poisson equations, depending on whether axion self-interactions are taken into account. In this work, a non-minimal gravitational coupling term $\\xi R \\phi^4$ is included into the axion\u0027s relativistic action as a way to introduce a gravitationally mediated pairwise interaction. By performing a perturbative expansion and subsequently taking the non-relativistic limit, an alternative set of equations that govern the early stages of structure formation is obtained.",
"arxiv_id": "2601.07420",
"authors": [
"Bryan Cordero-Patino",
"\u00c1lvaro Duenas-Vidal",
"Jorge Segovia"
],
"categories": [
"hep-ph",
"gr-qc",
"hep-ex",
"hep-th"
],
"license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
"title": "Gross-Pitaevskii-Poisson equations with a $\\xi R \\phi^4$ non-minimal coupling term",
"url": "https://arxiv.org/abs/2601.07420",
"version": "v1"
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