Interpretation of galaxy rotation curves from primordial black holes in 4D Einstein-Gauss-Bonnet gravity

TL;DR

This paper proposes a novel model using 4D Einstein-scalar-Gauss-Bonnet gravity to explain galaxy rotation curves through primordial black holes, linking dark matter phenomena with black hole physics.

Contribution

It introduces a new approach connecting galaxy rotation curves with primordial black holes within 4D Einstein-Gauss-Bonnet gravity, incorporating scalar fields and Gauss-Bonnet coupling.

Findings

Reproduces flat galaxy rotation curves using the model.

Suggests primordial black holes as dark matter candidates within specific mass ranges.

Provides a natural explanation for observed matter and dark matter proportions.

Abstract

We develop a novel approach to the dark matter halos in the context of 4 dimensional Einstein--scalar-Gauss-Bonnet gravity to reproduce the flat rotation curves of galaxies. Moreover, the Gauss-Bonnet coupling describes the interior structure of the galaxies, while there is a presence of a scalar field $\phi $ in the galaxy edges. This can provide an interesting interpretation for the functional coupling $f(\phi )$. We discuss how this comparison can naturally drive the observed percentages of matter and dark matter in the Universe. The effective mass range\ in our model is $% 10^{-2}kg-10^{3}kg$, which is in good agreement with the constraints on primordial black holes.