An exact solution for an isothermal gas cloud with fast differential rotation

Astronomy and Astrophysics – Astrophysics

Scientific paper

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Galactic Structure, Protostars, Rotating Matter, Differential Equations, Mathematical Models

Scientific paper

Properties of an isothermal self-gravitating gas cloud with fast differential rotation, infinite extension, a flattened density distribution, and finite central density are discussed. It is described by a simple exact solution of the equations of structure of self-gravitating and rotating gaseous masses. These are transformed to a simple differential equation which seems appropriate for search of exact solutions. Further attempts to find other exact solutions are discussed.

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