Stationary axial-symmetric fields in the Rosen bimetric theory of gravitation

Mathematics

Scientific paper

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Gravitation Theory, Gravitational Fields, Metric Space, Relativity, Stellar Gravitation, Angular Velocity, Approximation, Integral Equations, Operators (Mathematics), Steady State

Scientific paper

The external steady-state axisymmetric gravitational fields formed by rotating objects are examined in the framework of the Rosen bimetric theory of gravitation. General solutions of the field equations are obtained in the quadratic approximation to the angular velocity. It is shown that the constants of integration defining the integral characteristics of the rotating configurations can be defined on the basis of continuity of the solutions on the surface of the configurations.

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