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Broken symmetry of Lie groups of transformation generating general relativistic theories of gravitation

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Publication:1144808
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DOI10.1007/BF00670462zbMath0444.53041WikidataQ115394970 ScholiaQ115394970MaRDI QIDQ1144808

Leopold Halpern

Publication date: 1979

Published in: International Journal of Theoretical Physics (Search for Journal in Brave)


zbMATH Keywords

geodesicsgauge groupsEinstein's theoryLie groups of transformationsDe Sitter groupBroken symmetrygroup trajectories


Mathematics Subject Classification ID

Applications of Lie groups to the sciences; explicit representations (22E70) Einstein's equations (general structure, canonical formalism, Cauchy problems) (83C05) Relativistic gravitational theories other than Einstein's, including asymmetric field theories (83D05) Global differential geometry of Lorentz manifolds, manifolds with indefinite metrics (53C50)


Related Items

General relativistic theory of gravitation exhibiting complete group covariance, Generalizations of gravitational theory based on group covariance, Groups of transformations of Riemannian manifolds, A geometrical theory of spin motion



Cites Work

  • Gravitational law and spinning electron equation in a De Sitter symmetric space
  • Conservation of Isotopic Spin and Isotopic Gauge Invariance
  • Integral Formalism for Gauge Fields
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