Self-similar relativistic disks with pressure

Astronomy and Astrophysics – Astronomy

Scientific paper

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Astronomical Models, Relativistic Theory, Rotating Disks, Space-Time Functions, Angular Velocity, Counter Rotation, Particle Motion, Stress Tensors, Wentzel-Kramer-Brillouin Method

Scientific paper

Solutions for disks in equilibrium specified by a constant velocity of rotation and constant velocity dispersions are found. The fluid is not perfect because the stress tensor is anisotropic. These disks are self-similar if they are of infinite extent. The solutions are exact when an equal number of particles move in each sense of rotation so that there is no dragging of the inertial frames. For disks rotating with a small velocity a WKB approximation is used to obtain solutions.

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