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The gravitational field energy density for symmetrical and asymmetrical systems

Roald Sosnovskiy
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Abstract

The relativistic theory of gravitation has the considerable difficulties by description of the gravitational field energy. Pseudotensor t00 in the some cases cannot be interpreted as energy density of the gravitational field. In [1] the approach was proposed, which allow to express the energy density of such a field through the components of a metric tensor. This approach based on the consideration of the isothermal compression of the layer consisted of the incoherent matter. It was employ to the cylindrically and spherically symmetrical static gravitational field. In presented paper the approach is developed.

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Roald Sosnovskiy. 2007-06-22. The gravitational field energy density for symmetrical and asymmetrical systems. https://arxiv.org/abs/gr-qc/0607112

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