Gravitational Waves and Frame-Dragging

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sanman
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I'd like to ask whether the Lens-Thirring effect, which is also known as Frame-Dragging, produces any kind of Gravitational Waves which might be detectable by a detector more sensitive than LIGO.

There was of course the Gravity Probe B experiment not too long ago, which saw gyroscopes launched into space to measure the Lens-Thirring effect. But I'd like to know whether the rotation of large masses associated with Frame-Dragging can produce any other telltale signs which might be detected via a sufficiently sensitive interferometer.

If so, then how sensitive would such an interferometer have to be?
 
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No. The effect is present for spherical symmetric objects that rotate, those do not emit gravitational waves.
Asymmetric rotating objects can have both effects at the same time, but even then they are not related.
 
Lense Thirring:
telltale signs...
"This also means that light traveling in the direction of rotation of the object will move past the massive object faster than light moving against the rotation, as seen by a distant observer. It is now the best known frame-dragging effect, partly thanks to the Gravity Probe B experiment."

Some other effects noted here:
satellites...accretion disks...

https://en.wikipedia.org/wiki/Lense–Thirring_precession