Anomalous changing of geodesics in hairy black holes

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 $\sqrt{\Omega (x_h)}\le r\le 2M{G}_N/c^2$.

28 pages, 19 figures