Symmetry and variational methods in higher-dimensional theories
- 15 July 1986
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review D
- Vol. 34 (2) , 424-433
- https://doi.org/10.1103/physrevd.34.424
Abstract
The problem of imposing symmetry on variational principles for higher-dimensional theories is illustrated by considering spatially homogeneous solutions of Kaluza-Klein theories. Various implications of the group-theoretical nature of this specific situation are addressed.Keywords
This publication has 27 references indexed in Scilit:
- Finite-dimensional Einstein-Maxwell-scalar field systemPhysical Review D, 1986
- Bianchi-Kantowski-Sachs solutions of N=1 supergravity in d=11 dimensions for a torus spaceClassical and Quantum Gravity, 1985
- Kaluza-Klein mixmaster universesPhysical Review D, 1985
- Anisotropic Kaluza-Klein cosmologiesPhysical Review D, 1985
- Perfect fluid sources for spatially homogeneous spacetimesAnnals of Physics, 1983
- Where has the fifth dimension gone?Physical Review D, 1980
- Hamiltonian cosmology: a further investigationJournal of Physics A: General Physics, 1976
- Variational principles and spatially-homogeneous universes, including rotationCommunications in Mathematical Physics, 1972
- Quantum Theory of Gravity. I. The Canonical TheoryPhysical Review B, 1967
- A spatially homogeneous gravitational fieldMathematical Proceedings of the Cambridge Philosophical Society, 1966