Dark angular momentum of the galaxy

TL;DR

This paper suggests a method to detect the gravito-magnetic field generated by the galaxy's dark matter halo using a Sagnac effect-based measurement involving the Sun-Earth Lagrange points.

Contribution

It introduces a novel observational strategy to measure the gravito-magnetic field caused by galactic dark matter, linking general relativity effects to dark matter detection.

Findings

Proposes a measurement method using a triangle of Sun-Earth Lagrange points.

Identifies asymmetry in light travel times as an indicator of the gravito-magnetic field.

Connects dark matter properties to observable relativistic effects.

Abstract

This paper proposes a strategy for detecting the presence of a gravito-magnetic field due to the rotation of the galactic dark halo. Visible matter in galaxies rotates and dark matter, supposed to form a halo incorporating barionic matter, rotates also, since it interacts gravitationally with the rest. Pursuing the same line of reasoning, dark matter should produce all gravitational effects predicted by general relativity, including a gravito-magnetic field. I discuss a possible strategy for measuring that field. The idea recovers the old Sagnac effect and proposes to use a triangle having three Lagrange points of the Sun-Earth pair at its vertices. The asymmetry in the times of flight along the loop in opposite directions is proportional to the gravito-magnetic galactic field.