Orbits of Particles and Photons around Regular Rotating Black Holes and Solitons

We briefly overview the basic properties and generic behavior of circular equatorial particle orbits light rings around regular rotating compact objects with dark energy interiors, which are described by metrics Kerr–Schild class include black holes self-gravitating spinning solitons replacing naked singularities. These have an internal de Sitter vacuum disk can two types depending on conditions. The first type reduces to disk, second contains a closed surface S as bridge anisotropic phantom fluid in regions between disk. In geometry, potentials decrease from V(r)→∞ their minima, ensures existence innermost stable photon that essential for processes extraction occurring within ergoregions, interiors contain energy. provide diagnostic tool investigation Sitter–Kerr objects. They confine these ensure most informative observational signature presented shadows.