Geodesic
Solution of the equations of the relativistic theory of gravitation for equilibrium massive bodies with allowance for their equations of state
Teoretičeskaâ i matematičeskaâ fizika, Tome 94 (1993) no. 1, pp. 122-139 
Yu. M. Loskutov; K. V. Parfenov. Solution of the equations of the relativistic theory of gravitation for equilibrium massive bodies with allowance for their equations of state. Teoretičeskaâ i matematičeskaâ fizika, Tome 94 (1993) no. 1, pp. 122-139. http://geodesic.mathdoc.fr/item/TMF_1993_94_1_a8/
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     author = {Yu. M. Loskutov and K. V. Parfenov},
     title = {Solution of the equations of the relativistic theory of gravitation for equilibrium massive bodies with allowance for their equations of state},
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Voir la notice de l'article provenant de la source Math-Net.Ru

The solutions of the equations of the relativistic theory of gravitation that describe the equilibrium state of a spherically symmetric isolated massive body are analyzed. It is shown that if the mass of the body is greater than the critical value equilibrium states do not exist; the minimum sizes of such bodies are always greater than the Schwarzschild sizes. We investigate the equilibrium sizes, the structure of the exterior gravitational field, and the distributions of the interior pressures and densities in the case of characteristic astrophysical objects such as the earth, Jupiter, the sun, neutron stars, and white dwarfs. The results agree satisfactorily with observations.

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