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arXiv · 2312.02217

Foundations of the theory of gravity with a constraint. Gravitational energy of macroscopic bodies

Alexander P. Sobolev·Aleksey Sobolev
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Abstract

The paper considers a set of equations describing the static isotropic gravity field of a macroscopic body within the framework of the theory of gravity with a constraint. A general approximate solution of these equations is obtained. The solution exists only at certain values for the three integration constants. The out-of-body metric coincides with the Schwarzschild metric, but, unlike the general relativity theory (GR), the curvature tensor invariants have a certain finite value everywhere.

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Alexander P. Sobolev, Aleksey Sobolev. 2023-12-03. Foundations of the theory of gravity with a constraint. Gravitational energy of macroscopic bodies. https://arxiv.org/abs/2312.02217

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