Polytropic spheres in bimetric theory

Computer Science – Numerical Analysis

Scientific paper

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Gravitation Theory, Gravitational Fields, Numerical Analysis, Polytropic Processes, Relativity, Spheres, Equations Of State, Flow Stability, Hydrodynamic Equations, Runge-Kutta Method

Scientific paper

Within the framework of Rosen's bimetric theory /1974/, a numerical solution is presented for the equations of the gravitational field of spherically-symmetric configurations where the state of the matter can be described by the polytropic equation. The integral characteristics and the internal structure are calculated for configurations with the polytropic index equal to 1, 1.5, 2, 2.5, and 3, and for various values of the relativistic parameter. The configurations obtained from the bimetric theory are found to be more compact than those of the general theory of relativity.

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