The Embedding of General Relativity in Five-Dimensional Canonical Space: A Short History and a Review of Recent Physical Progress

2010/10/31 by Paul S. Wesson, Wesson, Paul S. · 1 citation
Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc) #Relativity and Gravitational Theory

paper · pdf · doi:10.48550/arxiv.1011.0214

openalex publication_date 2010/10/31 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

Einstein theory can be embedded in Kaluza-Klein theory, and in particular all 4D vacuum solutions can be embedded in 5D (pure) canonical space where spacetime is independent of the extra coordinate. The uniqueness of 5D canonical space is quickly reproven, and its history and implications briefly reviewed. For 4D anti-deSitter space, the 5D space involves a wave running around spacetime, with an associated particle that has a local value of the cosmological 'constant' proportional to the square of the mass.

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• FLRW embeddings in ℝⁿ⁺², differential geometry and conformal photon propagator

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