Ellipticity of cosmic voids in the case of one-parameter models of dark energy

In this paper, we considered four observationally constrained, one-parameter dark energy models to see their plausible impacts on the tidal ellipticity and related statistics of cosmic voids. Our main question is to see if different models of dark energy could be distinguished through ellipticity of cosmic voids. In this way, we employed an analytic method on the base of local tidal tensor. In this method, the center of a void is located at local minimum of the linear density field. At first, we obtained the effect of the one-parameter DE models on the distribution function of the cosmic voids and simultaneously compared the results with the standard cosmology ([Formula: see text]CDM). We found that the distribution function of these models is different with respect to that of [Formula: see text]CDM. In addition, we obtained the mean ellipticity of cosmic voids, [Formula: see text], against redshift and found that in all models the [Formula: see text] as well as [Formula: see text] has a decaying trend. Besides, we considered the mean ellipticity evolution versus the smoothing scale of voids ([Formula: see text]). We found that the differences between dark energy models are significantly discernible via the ellipticity evolution versus the void scale ([Formula: see text]). We saw that the studied models result in different ellipticity evolutions (versus [Formula: see text]) up to [Formula: see text] smaller with respect to that of the [Formula: see text]CDM.