Rotating relativistic polytropes

Details Rotating relativistic polytropes Rotating relativistic polytropes

May 1977

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1977afz....13..327s&link_type=abstract

Astrofizika, vol. 13, May 1977, p. 327-344. In Russian.

Astronomy and Astrophysics

Astronomy

2

Einstein Equations, Polytropic Processes, Relativity, Rotating Bodies, Tetrad Theory, Angular Velocity, Astronomical Models, Mass Distribution, Stellar Rotation

Scientific paper

The Einstein equations are obtained on the basis of the tetrad formulation of general relativity in the case of an axisymmetric mass distribution. The equations are solved numerically in the angular-velocity-squared approximation for rigidly rotating configurations in which the state of matter is described by the polytrope equation. Integral characteristics and the interior structure of configurations with polytropic indices of 1, 1.5, 2, 2.5, and 3 are computed for different values of the relativity parameter. The results show that rotation increases the mass of a static configuration by 4 to 10% for polytropes with indices of 1, 1.5, and 2, and that the mass is increased by about 1% for configurations with indices of 2.5 and 3. The dependence of the mass of rotating and spherically symmetric configurations on the relativity parameter is examined, and it is found that mass decreases with an increase in relativity parameter for all configurations except polytropes with an index of 3.

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