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Linear and nonlinear gravidynamics: static field of a collapsar

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Abstract

In the bounds of the consistent dynamic interpretation of gravitation (gravidynamics) a gravitational field has been divided into two components: scalar and tensor, each one interacting with its source by the same coupling constant. Consequently, a spherically-symmetrical gravitational field in vacuum generated by a massive object influences test bodies as an algebraic sum of attraction and repulsion. Field energy in vacuum around the source is also a sum of energies of two components — purely tensor and scalar ones of gravitation. At distances from a gravitating object much greater than its gravitational radius, energies of each separate field component are equal to each other at the same point of space.

In the bounds of gravidynamics based on the so-called Einstein's ‘linearized’ equation and proceeding from general principles of theory of classical fields a statement (a theorem) has been formulated on the static gravitational field of a collapsar: a spherically-symmetric object generating a static field in vacuum may always only occupy a finite, nonzero volume.

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Authors and Affiliations

  1. Department of Relativistic Astrophysics of the Special Astrophysical Observatory of the USSR Academy of Science, Nishij Arkhyz, USSR

    Vladimir V. Sokolov

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  1. Vladimir V. Sokolov
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Sokolov, V.V. Linear and nonlinear gravidynamics: static field of a collapsar. Astrophys Space Sci 191, 231–258 (1992). https://doi.org/10.1007/BF00644772

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