Scattering angle in a Topological Star spacetime: a self-force approach

TL;DR

This paper calculates the scattering angle of a scalar particle around a Topological Star considering self-force effects and explores the star's geometric and energetic properties.

Contribution

It introduces a self-force approach to analyze scattering in Topological Star spacetimes and characterizes their geometric and energetic features.

Findings

Computed scattering angles including self-force effects.

Identified the electromagnetic source as a Papapetrou Field.

Characterized Topological Stars via curvature and super-energy tensors.

Abstract

We compute the scattering angle for a scalar neutral probe undergoing unbound motion around a Topological Star, including self-force effects. Moreover we identify the `electro-magnetic' source of the background as Papapetrou Field compatible with the isometries and characterize Topological Stars by studying their sectional curvature, geometric transport along special curves and the gravitational energy content in terms of the super-energy tensors.