Reductive decompositions and Einstein–Yang–Mills equations associated to the oscillator group

Reductive decompositions and Einstein–Yang–Mills equations associated to the oscillator group

All of the homogeneous Lorentzian structures on the oscillator group equipped with a bi-invariant Lorentzian metric, and then the associated reductive pairs, are obtained. Some of them are solutions of the Einstein–Yang–Mills equations.

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Veröffentlicht in:Journal of mathematical physics 1999-07, Vol.40 (7), p.3490-3498
Hauptverfasser: Dı́az, Raúl Durán, Gadea, Pedro M., Oubiña, José A.
Format: Artikel
Sprache:eng
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Zusammenfassung:All of the homogeneous Lorentzian structures on the oscillator group equipped with a bi-invariant Lorentzian metric, and then the associated reductive pairs, are obtained. Some of them are solutions of the Einstein–Yang–Mills equations.
ISSN:0022-2488
1089-7658
DOI:10.1063/1.532902