The Cylindrical Symmetric Configurations of the Interacting Scalar and Spinor Fields with Regard of Ideal Fluid

We have investigated the properties of the static cylindrical symmetric configurations of the interacting scalar and spinor fields taking account of ideal fluid with the state equation P = We, where P is pressure, e is energy density, W - arbitrary dimensionless parameter. Parallel with the usual matter with positive W , we have considered some types of ideal fluids with negative pressure (W < 0), that are actively used at present in cosmology (dark matter, cosmic strings, domain walls, quintessential, cosmic vacuum, fantom matter). We have obtained the exact solutions to the equations of the interacting scalar and spinor fields, Einstein equations and ideal fluid motion equation with arbitrary W . We have written the conditions of the regular metrics on the axis of the symmetry of the system and the conditions of the regular (flat or string) metrics. We have considered the influence of the different types of the ideal fluid upon the formation of the soliton-like or string-like configurations in the = 1 3 (ultrarelative system of the interacting fields. We have established that in case of W 1 (space string’s gas), W = − 2 3 matter), W = −(random distribution of the domain walls), 3 W = − 4 3 (phantom matter), regular configurations of the system of the interacting fields and ideal fluid can exist only under some relation among constants in the equations.

cosmology, interacting fields, ideal fluid, negative pressure, soliton-like configurations