A gauge covariant Lie derivative procedure determines co-frame and spin connection ansatzes for symmetric Riemann-Cartan geometries and solves the zero curvature constraint for corresponding metric teleparallel cases, illustrated on spherical, Gödel, de Sitter and other spacetimes.
Fonseca,The equivalence problem in parallel gravity,International Journal of Modern Physics17(2002) 4161
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Using Gauge Covariant Lie Derivatives in Poincar\'{e} Gauge and Metric Teleparallel Theories of Gravity
A gauge covariant Lie derivative procedure determines co-frame and spin connection ansatzes for symmetric Riemann-Cartan geometries and solves the zero curvature constraint for corresponding metric teleparallel cases, illustrated on spherical, Gödel, de Sitter and other spacetimes.