Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology
Scientific paper
2009-01-15
Class.Quant.Grav.26:185006,2009
Astronomy and Astrophysics
Astrophysics
General Relativity and Quantum Cosmology
11 pages, 12 figures; major revision
Scientific paper
10.1088/0264-9381/26/18/185006
In this paper the effects of vibrations at high frequencies onto a freely falling two-body system in Schwarzschild spacetime are investigated. As reference motion of the same system without vibrations a circular orbit around the central body is considered. The vibrations induce a perturbation on this motion, whose period is close to the orbital period, in agreement with the simpler situation of the Shirokov effect \cite{Shirokov:1973gr}. In general relativity the amplitude of the perturbation is dominated by high velocity effects, which grow linearly in the radius $r$ of the circular orbit, while the leading term surviving the Newtonian limit decays as $1/r$. Thus even for very large radii a significant difference between Newtonian physics and general relativity is found. We give an estimate of this effect for some molecular vibrations of a system orbiting around the Earth.
Bergamin Luzi
Delva Pacôme
Hees Aurélien
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