The tendimensional KaluzaKlein theory. I  Ground states with a compact sixdimensional subspace
Abstract
Solutions of physical interest to the equations of motion in the tendimensional EinsteinMaxwell theory are examined which correspond to a spontaneous compactification of the additional dimensions into a compact space including the projection space CP2 and the sphere S2 as subspaces. It is shown that the structure of the holonomy group of the space CP2, the direct product of SU(2) and U(1) groups, allows two possible ways of compactification of the sixdimensional space. The resulting KaluzaKlein vacuum states are shown to be invariant with respect to the simultaneous transformations of the groups SU(3), Su(2), and U(1).
 Publication:

Ukrainskii Fizicheskii Zhurnal
 Pub Date:
 November 1984
 Bibcode:
 1984UkFiZ..29.1605S
 Keywords:

 Einstein Equations;
 Electromagnetic Interactions;
 Gravitational Fields;
 Metric Space;
 Unified Field Theory;
 Calibrating;
 Equations Of Motion;
 Maxwell Equation;
 Physics (General)