Gravitational waves are also redshifted?

Dmitry67
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I want to confirm one thing.

Say, I have an emitter of gravitational waves with frequency f.
I throw it into black hole.
Is it correct to assume that:

1. frequency f and energy of GR waves are decreased in exactly the same manner as frequency and energy of ordinary light?
2. and GR waves can't escape from regions inside the horizon?

Thanks.
 
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Yes to both.
 
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