期刊
JOURNAL OF COSMOLOGY AND ASTROPARTICLE PHYSICS
卷 -, 期 3, 页码 -出版社
IOP PUBLISHING LTD
DOI: 10.1088/1475-7516/2018/03/030
关键词
quantum cosmology; cosmic singularity
资金
- FONDECYT [3150016]
- General Secretariat for Research and Technology (GSRT)
- Hellenic Foundation for Research and Innovation (HFRI) of the Greek Ministry of Education
We consider a Bianchi type III axisymmetric geometry in the presence of an electromagnetic field. A first result at the classical level is that the symmetry of the geometry need not be applied on the electromagnetic tensor F-mu nu the algebraic restrictions, implied by the Einstein field equations to the stress energy tensor T-mu nu, suffice to reduce the general F-mu nu to the appropriate form. The classical solution thus found contains a time dependent electric and a constant magnetic charge. The solution is also reachable from the corresponding mini-supetspace action, which is strikingly similar to the Reissner-Nordstrom one. This points to a connection between the black hole geometry and the cosmological solution here found, which is the analog of the known correlation between the Schwarzschild and the Kantowski-Sachs metrics. The configuration space is drastically modified by the presence of the magnetic charge from a 3D flat to a 3D pp wave geometry. We map the emerging linear and quadratic classical integrals of motion, to quantum observables. Along with the. Wheeler-DeWitt equation these observables provide unique, up to constants, wave functions. The employment of a Bohmian interpretation of these quantum states results in deterministic (semi-classical) geometries most of which are singularity free.
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