Speaker
Oleksii Yanchyshen
(Bogolyubov Institute for Theoretical Physics)
Description
We obtain relativistic Gaussian perturbation equations for osculating elements in Schwarzschild space-time background, for an arbitrary force not restricted to the equatorial plane. As an application, we solve the perturbation equations in linear approximation for force induced by the Kerr space-time as an expansion of the Schwarzschild space-time. For this case in post-Newtonian limit, we reproduce known Lense-Thirring original results. Also, we consider motion in the $q$-mertic space-time, which can be treated as the space-time of a BH with a quadrupole moment. For both space-times, we obtain relativistic observables.
Primary author
Oleksii Yanchyshen
(Bogolyubov Institute for Theoretical Physics)
