NS‑VGR: A Non-linear Saturated Velocity–Gravity Relation for Cosmic Velocity Field Reconstruction
Abstract
The reconstruction of galaxy peculiar velocity fields is crucial for probing large-scale structure and testing cosmological models. This work introduces NS‑VGR, a non‑linear saturated velocity–gravity relation that applies different corrections in overdense clusters and underdense voids. Using the CosmicFlows‑4 catalog of 9,355 galaxies, NS‑VGR achieves a 55% improvement in correlation between predicted and observed peculiar velocities over standard linear theory while retaining fast O(N \log N) performance on 128^3 grids.
Fields of Study & Subjects
Cosmology and Gravitation Theories
Galaxies: Formation
Evolution
Phenomena
Stellar
planetary
and galactic studies
Publication details
- Journal / source
- Zenodo (CERN European Organization for Nuclear Research)
- Publication date
- 16 February 2026
- Language
- EN
- Document type
- Preprint