Axion cosmology with post-Newtonian corrections
arXiv:2211.02197 · doi:10.1103/PhysRevD.107.083508
Abstract
We present first-order post-Newtonian (1PN) approximations of a general imperfect fluid and of an axion as a coherently oscillating massive scalar field, both in the cosmological context. For the axion, using the Klein transformation and Madelung transformation we derive the Schrödinger and Madelung hydrodynamic formulations, respectively, in exact covariant way and to 1PN order. Complete sets of equations for the 1PN formulations are derived without fixing the temporal gauge condition. We study the linear instability in cosmology and a static limit for both fluid and axion; these are presented independently of the gauge condition to 1PN order, thus are naturally gauge-invariant.
arXiv comment18 pages, no figure
References in corpus (26)
- Axion Cosmology
- Cold and Fuzzy Dark Matter
- Bose-Einstein Condensation of Dark Matter Axions
- Ultra-Light Dark Matter
- Wave Dark Matter
- Do Dark Matter Axions Form a Condensate with Long-Range Correlation?
- Small-scale structure of fuzzy and axion-like dark matter
- Growth of perturbations in an expanding universe with Bose-Einstein condensate dark matter
- Cosmic axion thermalization
- Axion as a Cold Dark Matter candidate
- Relativistic Corrections to Nonrelativistic Effective Field Theories
- Cosmological nonlinear hydrodynamics with post-Newtonian corrections
- Relativistic Hydrodynamic Cosmological Perturbations
- Fully nonlinear and exact perturbations of the Friedmann world model
- Beyond Schrödinger-Poisson: Nonrelativistic Effective Field Theory for Scalar Dark Matter
- Impact of kinetic and potential self-interactions on scalar dark matter
- Axion as a cold dark matter candidate: Proof to fully nonlinear order
- Effective theories for a nonrelativistic field in an expanding universe: Induced self-interaction, pressure, sound speed, and viscosity
- Newtonian limit of fully nonlinear cosmological perturbations in Einstein's gravity
- Special relativistic hydrodynamics with gravitation
- CMASS galaxy sample and the ontological status of the cosmological principle
- Cosmological post-Newtonian approximation compared with perturbation theory
- Axion as a fuzzy-dark-matter candidate: Proofs in different gauges
- Cosmological post-Newtonian equations from nonlinear perturbation theory
- Special Relativistic Magnetohydrodynamics with Gravitation
- Axion electrodynamics and magnetohydrodynamics