Kaul, Romesh K.Romesh K.KaulSengupta, SandipanSandipanSengupta2025-08-222025-08-222016-02-012331-8422http://arxiv.org/abs/1602.04559http://repository.iitgn.ac.in/handle/IITG2025/18171We present a systematic framework to obtain the most general solutions of the equations of motion in first order gravity theory with degenerate tetrads. There are many possible solutions. Generically, these exhibit non-vanishing torsion even in the absence of any matter coupling. These solutions are shown to contain a special set of eight configurations which are associated with the homogeneous model three-geometries of Thurston.en-USGeneral RelativityQuantum Cosmologye-Printe-Print123456789/615