conditions and directly on the value of the scalar field, could lead to different dynamically generated masses. This would not be an unusual scenario and in fact it is analogous to the SM Higgs mechanism for spontaneous mass generation. The desired nonperturbative effect in ST theory would be the [*scalarization*]{} phenomenon in neutron stars where nontrivial configurations of a large scalar field can appear [@Damour93]. Another example comes from Einstein–Aether theory which predicts gravitational waves of different polarizations and different propagation speeds although all modes are massless i.e. their frequencies are proportional to wave vectors [@Jac04]. This examples illustrate that the relativistic, strong field domain may have quite distinctive features than those predicted or extrapolated from nonrelativistic and low–energy range and shows that the gravitational waves may be good probes in exploring this regime.

The response of the gravitational wave detectors to the scalar mode was investigated already in [@Shibata94], [@MagNic00], [@Nakao01], [@Corda07] and detection capability together with astrophysical and cosmological application were presented in [@Nakao01], [@CCL08], [@BCLF09], [@BoGa05]. Here we continue these efforts and further analyze the detector response. We present close form of the detector response for massive scalar perturbations that straightforwardly reveals the angular and frequency characteristics 