http://arxiv.org/abs/2211.01652
We consider the propagation of gravitational waves in the late-time Universe, in the presence of structure, and we also consider the cosmic fluid to be viscous. In this work, we investigate the cumulative effect of inhomogeneities and viscosity of the cosmic-fluid, on the observables associated with the sources of the gravitational waves. Employing Buchert’s averaging procedure in the backreaction framework, we consider a model of inhomogeneous spacetime. Using the modified redshift versus distance relation, through the averaging process in the context of the model, we study the variation of the redshift-dependent part of the observed gravitational wave amplitude for different combinations of our model parameters, while simultaneously considering damping of the gravitational wave amplitude due to viscosity of the cosmic-fluid. Then, we investigate the differences occurring in the variation of the redshift-dependent part of the observed gravitational wave amplitude, due to consideration of viscous attenuation. We show that there are significant deviations after the inclusion of viscous attenuation in our analysis, depending on the chosen value of the coefficient of viscosity. Our result signifies the importance of the effect of viscosity, within the model of an inhomogeneous Universe, on precision measurements of parameters of compact-binary sources of gravitational waves.
S. Pandey, A. Sarkar, A. Ali, et. al.
Fri, 4 Nov 22
83/84
Comments: 15 pages, 5 figures