Raising galaxy rotation curves via dressing
arXiv:2510.18549 · doi:10.1103/m9xl-9vvk
Abstract
We present a manifestly diffeomorphism-invariant simple model of galaxy dynamics obtained by applying the Dressing Field Method (DFM) to a general-relativistic system comprising the metric and four scalar fields, phenomenologically representing the four-velocity of a cosmological fluid or dust field. The DFM, a systematic tool for extracting the gauge-invariant content in general-relativistic theories, provides a physical coordinatization that yields corrective terms to the rotational velocity profile. These corrections produce galaxy rotation curves that combine a Keplerian and a constant velocity terms, effectively emulating a Dark Matter contribution. We compare DFM-derived rotation curves to observed data for spiral galaxies, from the Spitzer Photometry and Accurate Rotation Curves (SPARC) database, showing that the DFM allows to fit them well.
10 pages, 9 figures, 1 table, Supplemental Material included. Published 6 October, 2025
References in corpus (16)
- Particle Dark Matter: Evidence, Candidates and Constraints
- THINGS: The HI Nearby Galaxy Survey
- High-Resolution Rotation Curves and Galaxy Mass Models from THINGS
- Rotation Curves of Spiral Galaxies
- SPARC: Mass Models for 175 Disk Galaxies with Spitzer Photometry and Accurate Rotation Curves
- Dust as a Standard of Space and Time in Canonical Quantum Gravity
- Galactic Searches for Dark Matter
- Dark Matter Candidates: A Ten-Point Test
- GPS observables in general relativity
- Manifestly Gauge-Invariant General Relativistic Perturbation Theory: I. Foundations
- Graviton corrections to the Newtonian potential using invariant observables
- Geometric relational framework for general-relativistic gauge field theories
- On the Meaning of Local Symmetries: Epistemic-Ontological Dialectics
- The dressing field method for diffeomorphisms: a relational framework
- Synchronous coordinates and gauge-invariant observables in cosmological spacetimes
- Reassessing the foundations of Metric-Affine Gravity