Abstract
The unified theory of gravitation with gauge fields proposed earlier is shown to be a ()-dimensional Einstein theory with linearly independent complete spacelike Killing vector fields which span an -dimensional metric submanifold and form a closed Lie algebra. In this picture the internal space is combined with space-time and the internal symmetry becomes a symmetry of the metric of the ()-dimensional combined space. The 4-dimensional space-time appears as the quotient space of the ()-dimensional enlarged space by the equivalence relation of the group of motions of the Killing vector fields.
- Received 23 June 1975
DOI:https://doi.org/10.1103/PhysRevD.12.3789
©1975 American Physical Society