Gauge Transformations in General Relativity - A Report

Authors : L. C. SHEPLEY

Pages : 445-452

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Publication Date : 0000-00-00

Article Type : Research Paper

Abstract :We take as our basic principle that the Lagrangian and the Hamiltonian formulations of general relativity should be equivalent. It is then possible to choose the gauge transformations so as to be projectable under the Legendre map from configuration-velocity space insert ignore into journalissuearticles values(the tangent bundle); to phase space insert ignore into journalissuearticles values(the cotangent bundle);. This projectability requirement then implies that gauge transformations in general relativity insert ignore into journalissuearticles values(we study in particular spacetimes with a Yang-Mills field); must depend in a specific way on the lapse and shift of the metric. This talk outlines the arguments and presents some of the results of the application of these principles.
Keywords : Turk J Phys, 24, 2000, , 445 452 Turk J Phys, vol 24, iss 3