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.

References in corpus (14)

• Quantum Nature of the Big Bang: Improved dynamics
• Quantum Nature of the Big Bang
• Flux Compactification
• Gravity quantized
• Loop quantization of spherically symmetric midi-superspaces
• Spherically symmetric loop quantum gravity: analysis of improved dynamics
• Extension of loop quantum gravity to $f(R)$ theories
• Loop quantum Schwarzschild interior and black hole remnant
• Effective Scenario of Loop Quantum Cosmology
• Loop quantum deparametrized Schwarzschild interior and discrete black hole mass
• Loop quantum Brans-Dicke cosmology
• Bouncing evolution in a model of loop quantum gravity
• Transplanckian Censorship and the Local Swampland Distance Conjecture
• On the ADM decomposition of the 5-D Kaluza-Klein model

Cited by in corpus (1)

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