Abstract
It is shown that under certain assumptions the Einstein-Cartan field equations are not unique but may reasonably be modified to a degree. These modified Einstein-Cartan equations are proven to be unique under quite general conditions and are likely the most general equations in any metric-torsion gravitational theory whose field equations are derivable from a variational principle and such that their geometric part is independent of constants other than the speed of light and the gravitational constant.
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Aldersley, S.J. Metric-torsion gravitational theories. Gen Relat Gravit 8, 397–409 (1977). https://doi.org/10.1007/BF00765931
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DOI: https://doi.org/10.1007/BF00765931