THE QUANTIZATION AND PRODUCTION OF THE SPACE-TIME DEFECTS IN THE EARLY UNIVERSE

Citation
Ys. Duan et al., THE QUANTIZATION AND PRODUCTION OF THE SPACE-TIME DEFECTS IN THE EARLY UNIVERSE, International journal of modern physics A, 13(12), 1998, pp. 2001-2012
Citations number
36
Categorie Soggetti
Physics, Particles & Fields","Physics, Nuclear
ISSN journal
0217751X
Volume
13
Issue
12
Year of publication
1998
Pages
2001 - 2012
Database
ISI
SICI code
0217-751X(1998)13:12<2001:TQAPOT>2.0.ZU;2-X
Abstract
In Riemann-Cartan manifold U-4, a new topological invariant is obtaine d by means of the torsion tenser. In order to describe the space-time defects (which appear in the early universe due to torsion) in an inva riant form, the new topological invariant is introduced to measure the size of defects and it is interpreted as the dislocation flux in inte rnal space. By the use of the so-called phi mapping method and the gau ge potential decomposition, the dislocation flux is quantized in units of the Planck length. The quantum numbers are determined by the Hopf indices and the Brouwer degrees. Furthermore, the dynamic form of the dislocations is studied by defining an identically conserved current. Based on the implicit function theorem, the production of the defects at the limit points is detailed.