… -like black hole surrounded by a concentric thin disc or ring, as described … Motivated by
astrophysical black holes surrounded by … ’ potentials, while the disc or ring are described by their …

… symmetric black holes “perturbed” gravitationally as being encircled by a thin disc or a ring.
… Since the issue of coordinates was discussed in [4], we just follow our recommendation from …

… of accretion-disc physics near black holes are studied in this … disc or ring, can correspond to
the original system, the geodesic … chaos only by non-integrability, even though the close-orbit …

… Since the system is integrable in n = 4, no chaos appears. In n = 5, we find some chaotic stable
… , Free motion around black holes with discs or rings: Between integrability and chaos–III, …

… of our Galaxy, with a mass of ∼ 4×106M⊙, and most other central black holes in galaxies. …
, Free motion around black holes with discs or rings: between integrability and chaos - I, Mon…

… We confirm that chaos exists in the geodesic motion of the … the ring string is also found in
AdSSchwarzschild black hole [… the non-integrability and the chaotic motion on the acceleration …

… rings or discs lying symmetrically around black holes, the growth of chaos in time-like geodesic
motion [11], [12], [13] and chaos … In Section 4, we investigate the spatial chaos and check …

… C iv-based quasar black hole mass scaling relationships from reverberation mapped samples
… : Free motion around black holes with discs or rings: between integrability and chaos – IV …

… , we will focus on the chaotic motion of particles around a Kerr black hole immersed in swirling
… , Free motion around black holes with discs or rings: between integrability and chaos—IV, …

… completely integrable dynamical system prone to chaos. In … known to form around black
holes is the accretion disc. The … of the black hole, as was done when constructing the MP ring, …