Attraction and Repulsion in Conformal Gravity

TL;DR

This paper numerically solves conformal gravity field equations for static, spherically symmetric metrics, revealing that gravity is attractive at small scales and repulsive at large scales, extending prior solutions.

Contribution

It provides a numerical extension of Mannheim and Kazanas's solution, demonstrating scale-dependent gravitational behavior in conformal gravity.

Findings

Gravity is attractive at small scales.

Gravity becomes repulsive at large scales.

Extended the existing analytical solution numerically.

Abstract

We use numerical integration to solve the field equations of conformal gravity, assuming a metric that is static and spherically symmetric. Our solution is an extension of that found by Mannheim and Kazanas; it indicates, as expected, that gravitation in this model should be attractive on small scales and repulsive on large ones.