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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2026
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2601.07420 |
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| _version_ | 1866911369206431744 |
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| author | Cordero-Patino, Bryan Duenas-Vidal, Álvaro Segovia, Jorge |
| author_facet | Cordero-Patino, Bryan Duenas-Vidal, Álvaro Segovia, Jorge |
| contents | 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 Schrödinger-Poisson equations, depending on whether axion self-interactions are taken into account. In this work, a non-minimal gravitational coupling term $ξR ϕ^4$ 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2601_07420 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Gross-Pitaevskii-Poisson equations with a $ξR ϕ^4$ non-minimal coupling term Cordero-Patino, Bryan Duenas-Vidal, Álvaro Segovia, Jorge High Energy Physics - Phenomenology General Relativity and Quantum Cosmology High Energy Physics - Experiment High Energy Physics - Theory 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 Schrödinger-Poisson equations, depending on whether axion self-interactions are taken into account. In this work, a non-minimal gravitational coupling term $ξR ϕ^4$ 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. |
| title | Gross-Pitaevskii-Poisson equations with a $ξR ϕ^4$ non-minimal coupling term |
| topic | High Energy Physics - Phenomenology General Relativity and Quantum Cosmology High Energy Physics - Experiment High Energy Physics - Theory |
| url | https://arxiv.org/abs/2601.07420 |