Unified geometry of internal space with space-time

Journal Article · Mon Dec 15 00:00:00 EST 1975 · Phys. Rev., D, v. 12, no. 12, pp. 3789-3792

DOI:https://doi.org/10.1103/PhysRevD.12.3789· OSTI ID:4051712

Cho, Y M; Jang, P S

The unified theory of gravitation with gauge fields proposed earlier is shown to be a (4 + n) -dimensional Einstein theory with n linearly independent complete spacelike Killing vector fields which span an n-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 (4 + n) -dimensional combined space. The 4-dimensional space-time appears as the quotient space of the (4 + n) -dimensional enlarged space by the equivalence relation of the group of motions of the n Killing vector fields. (AIP)

• Research Organization: The Enrico Fermi Institute and Department of Physics, The University of Chicago, Chicago, Illinois 60637
• Sponsoring Organization: USDOE
• NSA Number: NSA-33-025077
• OSTI ID: 4051712
• Journal Information: Phys. Rev., D, v. 12, no. 12, pp. 3789-3792, Other Information: Orig. Receipt Date: 30-JUN-76
• Country of Publication: United States
• Language: English

Related Subjects

N76300* -Physics (Theoretical)-Gravitation & General Relativity
644003*
*EINSTEIN-SCHROEDINGER THEORY- SPACE-TIME
GAUGE INVARIANCE
GENERAL RELATIVITY THEORY
GRAVITATION
LIE GROUPS
METRICS