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arXiv · 2207.14726

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

Haida Li·Shengzhi Li·Yongge Ma
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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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Haida Li, Shengzhi Li, Yongge Ma. 2022-07-29. Connection Dynamics of Reduced 5-dimensional Kaluza-Klein Theory and Its Deparametrization. https://doi.org/10.1103/physrevd.107.024047

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