Kaul, Romesh K.Romesh K.KaulSengupta, SandipanSandipanSengupta2025-08-302025-08-302016-04-1410.1103/PhysRevD.93.0840262-s2.0-84964335013https://d8.irins.org/handle/IITG2025/21917We 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 nonvanishing 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.falseArticlehttps://arxiv.org/pdf/1602.045592470002914 April 201622084026arJournal21