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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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Abstract

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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Authors
  1. Yu. M. Loskutov
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  2. K. V. Parfenov
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Additional information

Moscow State University. Translated from Teoreticheskaya i Matematicheskaya Fizika, Vol. 94, No. 1, pp. 122–139, January, 1993.

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Loskutov, Y.M., Parfenov, K.V. Solution of the equations of the relativistic theory of gravitation for equilibrium massive bodies with allowance for their equations of state. Theor Math Phys 94, 89–99 (1993). https://doi.org/10.1007/BF01016998

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  • DOI: https://doi.org/10.1007/BF01016998

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