Nonlinear Realization of the Local Conform-Affine Symmetry Group for Gravity in the Composite Fiber Bundle Formalism

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dc.creatorAli, S. A.
dc.creatorCapozziello, S.
dc.date2007-05-31
dc.date.accessioned2026-07-07T11:16:28Z
dc.date.available2026-07-07T11:16:28Z
dc.descriptionA gauge theory of gravity based on a nonlinear realization (NLR) of the local Conform-Affine (CA) group of symmetry transformations is presented. The coframe fields and gauge connections of the theory are obtained. The tetrads and Lorentz group metric are used to induce a spacetime metric. The inhomogenously transforming (under the Lorentz group) connection coefficients serve as gravitational gauge potentials used to define covariant derivatives accommodating minimal coupling of matter and gauge fields. On the other hand, the tensor valued connection forms serve as auxillary dynamical fields associated with the dilation, special conformal and deformational (shear) degrees of freedom inherent in the bundle manifold. The bundle curvature of the theory is determined. Boundary topological invariants are constructed. They serve as a prototype (source free) gravitational Lagrangian. The Bianchi identities, covariant field equations and gauge currents are obtained.
dc.description24 pages. to appear in IJGMMP
dc.identifierhttps://arxiv.org/abs/0705.4609
dc.identifierhttp://arxiv.org/abs/0705.4609
dc.identifierInt.J.Geom.Meth.Mod.Phys.4:1041-1074,2007
dc.identifierdoi:10.1142/S0219887807002429
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/192685
dc.subjectGeneral Relativity and Quantum Cosmology
dc.titleNonlinear Realization of the Local Conform-Affine Symmetry Group for Gravity in the Composite Fiber Bundle Formalism
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