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

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

1999-09-09

arxiv.org/abs/physics/9909016v2

Physics

General Physics

8 pages, LaTeX

Scientific paper

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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