Significance of Gravitational Nonlinearities on the Dynamics of Disk Galaxies
Alexandre Deur, Corey Sargent, Bal\v{s}a Terzi\'c

TL;DR
This paper demonstrates that nonlinear effects of General Relativity can explain the observed correlation between baryonic mass and acceleration in disk galaxies without invoking dark matter, aligning with the Standard Model.
Contribution
It introduces a novel approach showing that gravitational nonlinearities within General Relativity can account for galactic dynamics traditionally attributed to dark matter.
Findings
Nonlinear gravitational effects explain galactic acceleration data.
Baryonic matter alone suffices to match observations.
Method aligns with Standard Model and General Relativity principles.
Abstract
The discrepancy between the visible mass in galaxies or galaxy clusters, and that inferred from their dynamics is well known. The prevailing solution to this problem is dark matter. Here we show that a different approach, one that conforms to both the current Standard Model of Particle Physics and General Relativity, explains the recently observed tight correlation between the galactic baryonic mass and its observed acceleration. Using direct calculations based on General Relativity's Lagrangian, and parameter-free galactic models, we show that the nonlinear effects of General Relativity make baryonic matter alone sufficient to explain this observation.
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