Restricted gravity: Abelian projection of Einstein’s theory

Cho, Y. M. (2013) Restricted gravity: Abelian projection of Einstein’s theory. Il nuovo cimento C, 36 (Sup. 1). pp. 49-62. ISSN 1826-9885

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Treating Einstein’s theory as a gauge theory of Lorentz group, we decompose the gravitational connection Γμ into the restricted connection made of the potential of the maximal Abelian subgroup H of Lorentz group G and the valence connection made of G/H part of the potential which transforms covariantly under Lorentz gauge transformation. With this we show that Einstein’s theory can be decomposed into the restricted gravity made of the restricted connection which has the full Lorentz gauge invariance which has the valence connection as gravitational source. The decomposition shows the existence of a restricted theory of gravitation which has the full general invariance but is much simpler than Einstein’s theory. Moreover, it tells that the restricted gravity can be written as an Abelian gauge theory, which implies that the graviton can be described by a massless spin-one field.

Item Type: Article
Uncontrolled Keywords: Classical general relativity ; Fundamental problems and general formalism ; Canonical formalism, Lagrangians, and variational principles
Subjects: 500 Scienze naturali e Matematica > 530 Fisica
Depositing User: Marina Spanti
Date Deposited: 07 May 2020 16:52
Last Modified: 07 May 2020 16:52

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