Rotational perturbations of relativistic perfect-fluid model universes interacting with gravitational field

Astronomy and Astrophysics – Astrophysics

Scientific paper

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Gravitational Fields, Ideal Fluids, Perturbation Theory, Relativistic Plasmas, Rotating Fluids, Universe, Analytic Functions, Angular Velocity, Space-Time Functions

Scientific paper

Along with the presentation of several new analytic solutions, the dynamics of slowly rotating perfect-fluid model universes are investigated, and their physical and geometrical properties are discussed from all angles. The rotational perturbations of such models are examined in detail in order to substantiate the possibility that the universe is endowed with some rotation. The nature and role of the rotational velocity Omega(r,t) which is related to the local dragging of inertial frames and that of the matter rotation omega(r,t) are studied for uniform and nonuniform motions. The restrictions on the radii of the models are obtained for real astrophysical situations. Rotating models which are expanding are obtained, in which cases the rotational velocities are found to decay with the time; and these models may be taken as examples of real astrophysical objects in this universe.

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