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Interpretation of intuitionistic solution of the vacuum Einstein equations in smooth topos

A. K. Guts·A. A. Zvyagintsev
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Abstract

The topos theory is a theory which is used for deciding a number of problems of theory of relativity, gravitation and quantum physics. In the article spherically symmetric solution of the vacuum Einstein equations in the Intuitionistic theory of Gravitation at different stages of smooth topos ${\bf Set}^{\bf L_{op}}$ is considered. Infinitesimal "weak" gravitational field can be strong at some stagies, for which we have the additional dimensions. For example, the cosmological constant is not constant with respect to additional dimensions. Signature of space-time metric can depend of density of vacuum and cosmological constant.

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A. K. Guts, A. A. Zvyagintsev. 2000-01-24. Interpretation of intuitionistic solution of the vacuum Einstein equations in smooth topos. https://arxiv.org/abs/gr-qc/0001076

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