The paper identifies restrictions on second-order bi-scalar-vector-tensor field equations in 4D spacetime that are variationally derivable, conserve charge, and recover Maxwell's equations when scalars are constant, while noting that a single Lagrangian cannot generate all such equations.
Abh Math Sem Univ Hamburg 29, 243 (1966)
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Second-Order Bi-Scalar-Vector-Tensor Field Equations Compatible with Conservation of Charge in a Space of Four-Dimensions
The paper identifies restrictions on second-order bi-scalar-vector-tensor field equations in 4D spacetime that are variationally derivable, conserve charge, and recover Maxwell's equations when scalars are constant, while noting that a single Lagrangian cannot generate all such equations.