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The three dimensional theory of gravitation based on a temporal scalar field in Riemanian geometry

S. Kozyrev
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Abstract

A new approach to the model of the universe based on work by Rippl, Romero, Tavakol is presented. We have used the scheme for relating the vacuum (D + 1) dimensional theories to D dimensional theories for setting up a correspondence between vacuum 4-dimensional Einstein theory with 3-dimensional gravity theory with temporal scalar field. These ideas we continued by using the 3-dimensional analog of Jordan, Brans-Dicke theory with temporal scalar field. As the result space and time are treated in completely different ways. For the case of a static spherically symmetric field new vacuum static solutions are found.

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S. Kozyrev. 2004-06-21. The three dimensional theory of gravitation based on a temporal scalar field in Riemanian geometry. https://arxiv.org/abs/gr-qc/0406081

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