Connection Dynamics of Reduced 5-dimensional Kaluza-Klein Theory and Its Deparametrization

Abstract

The connection dynamics of the 5-dimensional Kaluza-Klein theory reduced on 4-dimensional spacetime is obtained by performing the Hamiltonian analysis and canonical transformations. Deparametrization is achieved in the spherically symmetric model of the theory without introducing additional matter fields beyond the 5-dimensional gravity. Thus the physical time evolution and the physical spatial coordinate can be provided by the geometrical degrees of freedom in the higher dimensional spacetime.

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Cited by in corpus (1)

• Loop Quantum Vector-Tensor Gravity and Its Spherically Symmetric Model