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Cho, Yongmin
School of Natural Science
Research Interests
  • Higher-dimensional Unified Field Theory

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Restricted gravity: Abelian projection of Einstein's theory

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Title
Restricted gravity: Abelian projection of Einstein's theory
Author
Cho, Yongmin
Issue Date
201301
Publisher
Zanichelli Editore SpA
Citation
IL NUOVO CIMENTO DELLA SOCIET?ITALIANA DI FISICA. C, v.36, no.1, pp.49 - 62
Abstract
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.
URI
http://scholarworks.unist.ac.kr/handle/201301/4048
DOI
http://dx.doi.org/10.1393/ncc/i2013-11485-6
ISSN
1124-1896
Appears in Collections:
ECE_Journal Papers
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