A "Looks" of gravitational wave emissions for an eclipsing ternary compact object?

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The discussion explores the gravitational wave emissions from a tight eclipsing ternary system composed of compact objects, specifically black holes or neutron stars. It raises questions about gravitational lensing effects when one black hole passes in front of a gravitational wave source and whether gravitational waves can be absorbed by black holes like light. The potential for diffraction and interference of gravitational waves due to the presence of a third compact object is also examined, particularly comparing the effects of a neutron star versus a black hole. The conversation highlights the unique properties of neutron stars as gravitational lenses and their interaction with gravitational waves, suggesting that waves might pass through a neutron star's center unlike those encountering a black hole's event horizon. Overall, the thought experiment emphasizes the complexities and intriguing possibilities of gravitational wave behavior in such systems.
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How would a tight (tight enough that the inner pair is "visible" as a source of gravitational waves) eclipsing ternary system of compact objects (all three being black holes or neutron stars) "look" like in gravitational waves?
Even if it is unlikely to happen in real astronomy (I can see some reasons why it might be unlikely), it should be legitimate as a thought experiment.
For non-compact triply eclipsing stars, see:
https://www.azoquantum.com/News.aspx?newsID=10522
with a quote:
Study Co-Author Tamás Borkovits, a Senior Research Fellow at the Baja Observatory of The University of Szeged in Hungary, added, “Before scientists discovered triply eclipsing triple star systems, we didn’t expect them to be out there.
So about the compact ones...
When a black hole passes in front of a background gravitational wave source, would it cause gravitational lensing of the gravitational waves?
Would the gravitational waves that encounter the event horizon of a black hole be absorbed by the black hole just like light?
Depending on the size of the third hole vs. orbital size of the pair, the wavelength of the gravitational waves could be bigger than the third hole. Can the gravitational waves diffract off the gravitational lens of the third hole? Can the waves passing the lens by different paths undergo interference?
If the third compact object is a neutron star rather than black hole, can gravitational waves pass through the centre of the black hole like they do not pass the event horizon? Would the gravitational waves interact with gravitational lens alone, or at neutron star densities, would there be any noticeable attenuation of gravitational waves by matter (absorption or scattering)?
 
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snorkack said:
If the third compact object is a neutron star rather than black hole, can gravitational waves pass through the centre of the black hole like they do not pass the event horizon?
Missed to correct it - centre of the neutron star. A neutron star should be a fairly strong gravitational lens, like the outskirts of a black hole - but the neutron star interior might have the waves passing directly through the interior, while black hole event horizon might absorb gravitational waves.
 
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