Dark companion of baryonic matter in spliral galaxies

TL;DR

This paper explores how flat rotation curves in spiral galaxies can be explained through spacetime metrics in General Relativity, proposing a dark companion to baryonic matter or an alternative gravity interpretation aligned with MOND.

Contribution

It introduces a formalism linking logarithmic gravitational potentials to dark matter distribution or alternative gravity theories, providing a unified explanation for galaxy rotation curves.

Findings

Spacetime metrics with logarithmic potentials can explain flat rotation curves.

The formalism supports the existence of a dark companion to baryonic matter.

It offers a framework consistent with MOND's acceleration law.

Abstract

Flat or almost flat rotation curves of spiral galaxies can be explained by logarithmic gravitational potentials. The field equations of GR admit of spacetime metrics with such behaviors. The scenario can be interpreted either as an alternative theory of gravitation or, equivalently, as a dark matter paradigm. In the latter interpretation, one is led to assign a dark companion to the baryonic matter who's size and distribution is determined by the mass of the baryons. The formalism also opens up a way to support Milgrom's idea that the acceleration of a test object in a gravitational field is not simply the newtonian gravitational force $g_N$, but rather an involved function of $(g_N/a_0)$, $a_0$ MOND's universal acceleration. Keywords: Dark matter; Alternative GR; Spiral galaxies, rotation curves of