Solution of the vacuum Einstein equations in Synthetic Differential Geometry of Kock-Lawvere

Alexander K. Guts; Artem A. Zvyagintsev

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Solution of the vacuum Einstein equations in Synthetic Differential Geometry of Kock-Lawvere

Alexander K. Guts·Artem 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. It is known that topos-theoretic geometry can be successfully developed within the framework of Synthetic Differential Geometry of Kock-Lawvere (SDG), the models of which are serving the toposes, i.e. categories possessing many characteristics of traditional Theory of Sets. In the article by using ideas SDG, non-classical spherically symmetric solution of the vacuum Einstein equations is given.

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Alexander K. Guts, Artem A. Zvyagintsev. 1999-10-05. Solution of the vacuum Einstein equations in Synthetic Differential Geometry of Kock-Lawvere. https://arxiv.org/abs/physics/9909016

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