Anomalous changing of geodesics in hairy black holes

TL;DR

This paper investigates how test particles and light behave around hairy black holes with scalar fields, revealing anomalous geodesic behavior in certain parameter ranges near the black hole.

Contribution

It demonstrates the existence of anomalous geodesic behavior in hairy black holes, highlighting new effects caused by scalar hair in specific parameter regimes.

Findings

Anomalous geodesic behavior occurs in dense hair regions.

Both time-like and null geodesics are affected.

Behavior depends on specific parameter ranges.

Abstract

We study the motion of test particles and the propagation of light around neutral hairy black holes under the influence of a self-interacting real scalar field minimally coupled to gravity. The goal of the present work is to show that the time-like and null-like geodesics have an anomalous behaviour for a special range of parameters in the dense hair region, defined as $\sqrt{\Omega(x_{h})}\leq r\leq 2MG_{N}/c^{2}$.