The effect of the cosmological constant on a quadrupole signal in the linearized approximation

摘要

In this study the effects of a nonzero cosmological constant Lambda on a quadrupole gravitational wave (GW) signal are analyzed. The linearized approximation of general relativity was used, so the perturbed metric can be written as the sum of h(GW) GWs and h(Lambda) bakground term, originated from Lambda. The Lambda h(GW) term was also included in this study. To derive physically relevant consequences of Lambda not equal 0 comoving coordinates are used. In these coordinates, the equations of motion (EoMs) are not self-consistent so the result of the linearized theory has to be transformed to the FRW frame. The luminosity distance and the same order of the magnitude of frequency in accordance with the detected GWs were used to demonstrate the effects of the cosmological constant.