Vibrating systems in Schwarzschild spacetime: I - The radial fall

In this paper we analyze some aspects of the "relativistic glider" proposed by Gueron and Mosna more in detail. In particular an explicit weak gravity and low velocity expansion is presented, the influence of different initial conditions are studied and the behavior of the glider over a longer integration time is presented. Our results confirm that the system can be used as a glider, but is not able to stop or even revert the fall of an object.