Solution of the relativistic theory of gravity equations for the equilibrium massive bodies accounting to their equation of state.

Astronomy and Astrophysics – Astrophysics

Scientific paper

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Gravitation Theory: Relativity Theory

Scientific paper

Solutions of the relativistic theory of gravity equations, describing an equilibrium state of spherically symmetric single massive body are analyzed. It is shown, that the equilibrium states do not exist when the body mass exceeds some critical value, and minimal radius of this bodies is always more than Schwarzschild's one. Equilibrium radii, structure of external gravitational field and internal pressure and density distribution for such typical astrophysical objects as Earth, Sun, Jupiter, neutron stars and white dwarfs have been investigated. The results are in a satisfactory accordance with observations.

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