We investigate how the so-called chameleon mechanism in F(R) gravity acts on the scalar mode of gravitational waves appearing as an additional polarization mode to usual tensor modes in general relativity.
We calculate its amplitude in a simplified situation imitating the ground-based gravitational wave detectors and estimate the detectability.
Our conclusion is that it is almost impossible to detect scalar mode due to the chameleon mechanism and space-based gravitational wave detector would be a significant tool to detect such additional modes.