István Ozsváth. (1970). “Dust-Filled Universes of Class II and Class III, ” J. Math. Phys.
, 2871; Robert T. Jantzen. (1982). “Generalized Quaternions and Spacetime Symmetries, ” J. Math. Phys.
, 1741; G¨odel's Lorentzian 3-metric obtained setting dx
3 D 0 (a trivial translation symmetry coordinate) coincides with Bianchi's equation (49) with. n; dx
2 1 /
2 1 /
, but this locally rotationally symmetric type III geometry coincides with a locally rotationally symmetric type VIII geometry slightly deformed from the bi-invariant Cartan-Killing metric on the group, which G¨odel exploits using a quaternion-like representation, later discussed by Ozsv´ath.Google Scholar