Structure of rotating clouds and quasi-static evolution under external pressure

Astronomy and Astrophysics – Astrophysics

Scientific paper

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Critical Mass, Gravitational Collapse, Interstellar Gas, Rotating Matter, Stellar Evolution, Angular Velocity, Condensing, Equilibrium, Polytropic Processes, Stellar Mass Accretion, Thermodynamics

Scientific paper

The influence of a uniform rotation upon the equilibrium conditions of a self-gravitating interstellar cloud is examined. The equation of state is assumed to be that of polytrope with negative index and the cloud is acted upon by an external pressure. For a given angular velocity, equilibrium is possible only when the external pressure falls between two critical values: these limits approach each other with increase of mass and no equilibrium is possible beyond a critical mass which, for example, is of the order of 800 solar masses, when the angular velocity is 10 to the -15th/sec. A quasi-static analysis of the evolution of a cloud having constant angular momentum shows that the centrifugal forces in the equatorial plane are such that the pressure sometimes does not reach its critical value for collapse.

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