Solution of the vacuum Einstein equations in Synthetic Differential Geometry of Kock-Lawvere
General Physics
2007-05-23 v2
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.
Keywords
Cite
@article{arxiv.physics/9909016,
title = {Solution of the vacuum Einstein equations in Synthetic Differential Geometry of Kock-Lawvere},
author = {Alexander K. Guts and Artem A. Zvyagintsev},
journal= {arXiv preprint arXiv:physics/9909016},
year = {2007}
}
Comments
8 pages, LaTeX