Abstract
It is shown that for any principal bundle over a Riemannian symmetric space G /G0 which admits G as automorphism group, the canonical G-invariant connection satisfies the source free gauge field equations. Extending this to product manifolds V × G /G0 and assuming the metric and gauge fields decompose in a natural way, this result is still valid and the Einstein equations with gauge fields as source may also be satisfied. For G /G0, this is so automatically, but with a cosmological term present. For dimV = 1 or 2, solutions are found, yielding metrics of the Robertson-Walker and Reissner-Nordstrom type.
Original language | English |
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Pages (from-to) | 2236-2240 |
Number of pages | 5 |
Journal | Journal of Mathematical Physics |
Volume | 21 |
Issue number | 8 |
DOIs | |
State | Published - 1979 |
Externally published | Yes |