NONLINEAR REALIZATION OF THE LOCAL CONFORM-AFFINE SYMMETRY GROUP FOR GRAVITY IN THE COMPOSITE FIBER BUNDLE FORMALISM

DOI10.1142/S0219887807002429zbMath1143.53067arXiv0705.4609MaRDI QIDQ3502994

Sean Alan Ali, Salvatore Capozziello

Publication date: 20 May 2008

Published in: International Journal of Geometric Methods in Modern Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0705.4609

zbMATH Keywords

gravitygauge symmetryfiber bundle formalismconform-affine Lie algebra

Mathematics Subject Classification ID

Yang-Mills and other gauge theories in quantum field theory (81T13) Methods of quantum field theory in general relativity and gravitational theory (83C47) Applications of global differential geometry to the sciences (53C80) Global differential geometry of Lorentz manifolds, manifolds with indefinite metrics (53C50)

Related Items (6)

The nontriviality of trivial general covariance: how electrons restrict `time' coordinates, spinors (almost) fit into tensor calculus, and \(\frac{7}{16}\) of a tetrad is surplus structure ⋮ The gravitation energy–momentum pseudotensor: The cases of F(R) and F(T) gravity ⋮ NONHOLONOMIC DISTRIBUTIONS AND GAUGE MODELS OF EINSTEIN GRAVITY ⋮ MOTION IN GAUGE THEORIES OF GRAVITY ⋮ GRAVITY FROM LOCAL POINCARÉ GAUGE INVARIANCE ⋮ CLASSICAL FIELD THEORY: ADVANCED MATHEMATICAL FORMULATION

Cites Work

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• Gauge formulation of gravitation theories. I. The Poincaré, de Sitter, and conformal cases
• Gauge formulation of gravitation theories. II. The special conformal case
• General relativity with spin and torsion: Foundations and prospects

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