ON THE INHOMOGENEITY OF DARK-MATTER AND LUMINOUS OBJECTS INDUCED BY INFINITELY LONG COSMIC STRINGS

We have investigated the inhomogeneity of cold dark matter due to the wake formed by an infinitely long straight cosmic string, The one-dime nsional motion of cold dark matter induced by infinitely long cosmic s trings is solved analytically and numerically, including the homogeneo us microwave background radiation and the thickness of the wake are al so estimated. From the thickness, we could estimate the mass of the fr agments within the wake. The ratio of the deviation length of cold dar k matter due to the cosmic string passed at 1 + z(i) to the comoving h orizon scale at 1 + z(i) is calculated for each stage and found to bec ome almost unity after 1 + z approximately 30(Gmubetagamma/3 x 10(-6)) for the broad range of 1 + z(i). The fragmentation and clustering of the cold dark matter objects proceed rapidly after 1 + z(i) approximat ely 30(Gmubetagamma/3 x 10(-6)). The possibility of explaining the dis tribution and the change of number density of objects such as Lyman-al pha clouds through such a dark matter fragmentation and clustering is discussed. We have also studied the formation of luminous objects. The prominent wakes of cold dark matter are formed after the trace of cos mic string, which has passed around 1 + z(i) congruent-to 10(4), which corresponds to the comoving horizon size approximately 40 h50(-1) Mpc . In such wakes, the luminous objects of congruent-to 10(6) M . (First objects) and approximately 10(10 - 11) M . (subgalaxies and galaxies) are formed at 1 + z approximately 10(2) and 1 + z approximately 8 app roximately 3, respectively. Hence, the large-scale structure of the lu minous objects could be explained. Finally, we will discuss the reioni zation of the universe the formation of globular clusters, galaxies, a nd objects in the voids.