Tidal forces in dirty black hole spacetimes

Black holes can be inserted in very rich astrophysical environments, such as accretion disks. Although isolated black are simple objects general relativity, their disks may significantly enrich the field configurations of surroundings. Alternative theories gravity lead to novel hole solutions, which represented by small deviations metric due an effective stress-energy tensor. Among key aspects interaction with surroundings, stand tidal forces phenomena. We study spherically symmetric presence matter fields, dubbed dirty holes. These fields generically represent usual or exotic associated a variety theories. show that this dirtiness leads characteristic imprints forces, absent case surrounded vacuum. apply our results particular cases, coupled linear and nonlinear electrodynamics Schwarzschild spherical shell.