The Detection of Gravitational Waves

Influence of Gravitational Waves on Circular Moving Particles

“…To get a precision of the same order as for slowly moving test particles in refs. [27][28][29][30][31][32] we had to take into account the centripetal force and to modify the time dependence of the azimuthal angle ϕ = ωt to φ of Eq. (42).…”

“…Here the metric g µν has been approximated by g µν = η µν + h µν with |h µν | 1. For a gravitational wave h µν , propating in z−direction with the velocity of light c, one obtains harmonic oscillations, which neglecting additional phases may be written as (the real part of) plane waves [27][28][29][30][31][32]…”

“…Tiny ripples in spacetime curvature propagate as waves with the speed of light and lead to periodic oscillations in the distance of test particles, as nicely expounded in many books and review articles, e.g. in [27][28][29][30][31][32]. An overview of detection of gravitational waves can be read in [33].…”