On the longitudinal response function of interferometers for massive gravitational waves from a bimetric theory of gravity

Abstract

Recently, some papers in the literature have shown that, from a bimetric theory of gravity, it is possible to produce massive gravitational waves which generate a longitudinal component in a particular polarization of the wave. After a review of previous works, in this paper the longitudinal response function of interferometers for this particular polarization of the wave is computed in two different gauges, showing the gauge invariance, and in its full frequency dependence, with specific application to the Virgo and LIGO interferometers.

Gravitational waves fromf(R) theory and its detection using spherical antenna

“…This gives the energy sensitivity of the detector(antenna). The metric perturbation from (5) and (6) can be written as [6] Riemann tensor from our modified theory may be written as [7] …”