
doi: 10.1007/bf00765931
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.
variational principle, Partial differential equations of mathematical physics and other areas of application, Einstein-Cartan field equations, metric-torsion gravitational theory, Einstein's equations (general structure, canonical formalism, Cauchy problems), Unified, higher-dimensional and super field theories
variational principle, Partial differential equations of mathematical physics and other areas of application, Einstein-Cartan field equations, metric-torsion gravitational theory, Einstein's equations (general structure, canonical formalism, Cauchy problems), Unified, higher-dimensional and super field theories
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