74 citations · 174 across the 6 of their papers we have counts for
7 papers
The exterior gravitational potential of toroids
J. -M. Huré, B. Basillais, V. Karas +2
We perform a bivariate Taylor expansion of the axisymmetric Green function in order to determine the exterior potential of a static thin toroidal shell having a circular section, a…
Free motion around black holes with discs or rings: between integrability and chaos -- VI. The Melnikov method
L. Polcar, O. Semerák
Motivated by black holes surrounded by accretion structures, we consider in this series static and axially symmetric black holes "perturbed" gravitationally as being encircled by a…
Free motion around black holes with discs or rings: between integrability and chaos -- V
L. Polcar, P. Suková, O. Semerák
Complete integrability of geodesic motion, the well known feature of the fields of isolated stationary black holes, can easily be "spoilt" by the presence of some additional source…
Schwarzschild binary supported by an Appell ring
O. Semerák, M. Basovník, P. Kotlařík
We continue to study black holes subjected to strong sources of gravity, again paying special attention to the behaviour of geometry in the black-hole interior. After examining, in…
Schwarzschild black hole encircled by a rotating thin disc: Properties of perturbative solution
P. Kotlařík, O. Semerák, P. Čížek
In ApJ (1974), Will solved the perturbation of a Schwarzschild black hole due to a slowly rotating light concentric thin ring, using Green's functions expressed as infinite-sum exp…
Free motion around black holes with discs or rings: between integrability and chaos - II
O. Semerák, P. Suková
We continue the study of time-like geodesic dynamics in exact static, axially and reflection symmetric space-times describing the fields of a Schwarzschild black hole surrounded by…