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

2000/01/24 by A. K. Guts, А.К. Гуц, Guts, A. K. +3
Mathematics · Physics and Astronomy · #Algebraic and Geometric Analysis #Cosmology and Gravitation Theories #FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc) #Relativity and Gravitational Theory #gr-qc

paper · pdf · doi:10.48550/arxiv.gr-qc/0001076

9 pages, LaTeX2e

arxiv created 2000/01/24 · openalex publication_date 2000/01/24 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

Citations

• Solution of the vacuum Einstein equations in Synthetic Differential Geometry of Kock-Lawvere
• Synthetic Differential Geometry: A Way to Intuitionistic Models of General Relativity in Toposes

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