Quantum cosmological Friedman models with a Yang-Mills field and positive energy levels

Details Quantum cosmological Friedman models with a Yang-Mills field and positive energy levels Quantum cosmological Friedman models with a Yang-Mills field and positive energy levels

2009-07-30

arxiv.org/abs/0907.5403v3

Class.Quant.Grav.27:035007,2010

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

9 pages, v3: minor corrections to bring it in line with the published version

Scientific paper

10.1088/0264-9381/27/3/035007

We prove the existence of a spectral resolution of the Wheeler-DeWitt equation when the matter field is provided by a Yang-Mills field, with or without mass term, if the spatial geometry of the underlying spacetime is homothetic to $\R[3]$. The energy levels of the resulting quantum model, i.e., the eigenvalues of the corresponding self-adjoint Hamiltonian with a pure point spectrum, are strictly positive.

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