Gravitational deflection of light in interior Schwarzschild metric

TL;DR

This paper calculates how light bends in and around a spherical mass with uniform density, revealing that maximum deflections occur away from the center, which could explain gravitational lensing effects without dark matter.

Contribution

It extends the analysis of light deflection to interior Schwarzschild metrics and suggests a new explanation for observed lensing phenomena without dark matter.

Findings

Maximum deflection occurs away from the center of mass.

Displacement of deflection regions can explain galaxy lensing.

Results support general relativity as an alternative to dark matter.

Abstract

We determine the angle of deflection of light by the gravitational field inside and outside a spherical body with a homogeneous mass density. We show that the largest deflections, which can be measured by weak gravitational lensing, are in a region displaced from the center of mass. This result can be extended to more general distributions of matter. This displacement, observed in galaxies and colliding galaxy clusters, may be therefore explained without dark matter, within general relativity.