Abstract
In this article, we study the effect of the universe accelerating expansion on the structure of the general relativistic thick disks. Hence, by applying a conformal transformation on the metric of a static disk in isotropic coordinates, we transform the disk to the spacetime of a Friedman-Robertson-Walker (FRW) of an expanding universe. Also, by solving Einstein equations in the presence of the cosmological constant, $\Lambda$, which leads to the expansion of the universe, we investigate the structure of this disk in a dynamical state, and the changes in the disk mass density and energy density, as well as radial, azimuthal and vertical pressure, are examined as a function of time. Furthermore, by considering weak, strong and dominant energy conditions, we show that relativistic thick disks in the accelerating expanding universe dominated by dark energy satisfy all energy conditions.
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