Theocharis A Apostolatos et al 2009 J. Phys.: Conf. Ser. 189 012002 doi:10.1088/1742-6596/189/1/012002
Theocharis A Apostolatos1, Georgios Lukes-Gerakopoulos1,2, John Deligiannis1 and George Contopoulos2
Show affiliationsIn this short article we present a useful observational tool for gravitational wave detectors. More specifically, if we are looking for extreme-mass-ratio inspiraling objects in a non-Kerr spacetime, we could exploit the consequences of the KAM and the Poincare-Birkhoff theorem which predicts plateaus in the ratio of frequencies fρ/fz, that are related to a generic geodesic orbit in such a spacetime, as a function of the initial conditions of the orbit itself. While both these frequencies are changing under radiation reaction, their ratio is expected to stay stationary if it passes through such a plateau. Therefore, if detectors are able to discern the fundamental frequencies due to ρ and z oscillations of the orbit, they could in principle detect the non-Kerr-ness of the spacetime involved, just by monitoring the ratio of these two frequencies.
04.80.Nn Gravitational wave detectors and experiments
Issue 1 (2009)
Theocharis A Apostolatos et al 2009 J. Phys.: Conf. Ser. 189 012002
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