METRICS THAT REALIZE ALL LORENTZIAN HOLONOMY ALGEBRAS
2006 ◽
Vol 03
(05n06)
◽
pp. 1025-1045
◽
All candidates to the weakly-irreducible not irreducible holonomy algebras of Lorentzian manifolds are known. In the present paper metrics that realize all these candidates as holonomy algebras are given. This completes the classification of the Lorentzian holonomy algebras. Also new examples of metrics with the holonomy algebras g2 ⋉ ℝ7 ⊂ 𝔰𝔬(1, 8) and 𝔰𝔭𝔦𝔫(7) ⋉ ℝ8 ⊂ 𝔰𝔬(1, 9) are constructed.
2013 ◽
Vol 54
(5)
◽
pp. 798-804
◽
Keyword(s):
2014 ◽
Vol 11
(06)
◽
pp. 1450056
◽
2003 ◽
Vol 35
(5)
◽
pp. 915-936
◽
Keyword(s):
1970 ◽
Vol 28
◽
pp. 220-221
1984 ◽
Vol 42
◽
pp. 98-101