Unified geometry of internal space with space-time
Abstract
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)
- Authors:
- Publication Date:
- Research Org.:
- The Enrico Fermi Institute and Department of Physics, The University of Chicago, Chicago, Illinois 60637
- Sponsoring Org.:
- USDOE
- OSTI Identifier:
- 4051712
- NSA Number:
- NSA-33-025077
- Resource Type:
- Journal Article
- Journal Name:
- Phys. Rev., D, v. 12, no. 12, pp. 3789-3792
- Additional Journal Information:
- Other Information: Orig. Receipt Date: 30-JUN-76
- Country of Publication:
- United States
- Language:
- English
- Subject:
- N76300* -Physics (Theoretical)-Gravitation & General Relativity; 644003*; *EINSTEIN-SCHROEDINGER THEORY- SPACE-TIME; GAUGE INVARIANCE; GENERAL RELATIVITY THEORY; GRAVITATION; LIE GROUPS; METRICS
Citation Formats
Cho, Y M, and Jang, P S. Unified geometry of internal space with space-time. United States: N. p., 1975.
Web. doi:10.1103/PhysRevD.12.3789.
Cho, Y M, & Jang, P S. Unified geometry of internal space with space-time. United States. https://doi.org/10.1103/PhysRevD.12.3789
Cho, Y M, and Jang, P S. 1975.
"Unified geometry of internal space with space-time". United States. https://doi.org/10.1103/PhysRevD.12.3789.
@article{osti_4051712,
title = {Unified geometry of internal space with space-time},
author = {Cho, Y M and Jang, P S},
abstractNote = {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)},
doi = {10.1103/PhysRevD.12.3789},
url = {https://www.osti.gov/biblio/4051712},
journal = {Phys. Rev., D, v. 12, no. 12, pp. 3789-3792},
number = ,
volume = ,
place = {United States},
year = {Mon Dec 15 00:00:00 EST 1975},
month = {Mon Dec 15 00:00:00 EST 1975}
}
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