Construct a symmetric energy-momentum tensor for the Myers–Pospelov model

Construct a symmetric energy-momentum tensor within the Myers–Pospelov Lorentz-violating model so that the resulting relativistic magnetohydrodynamic formulation can be consistently extended to General Relativity and GRMHD.

Background

The paper derives a canonical energy-momentum tensor for the Myers–Pospelov theory and obtains a Lorentz-violating fluid energy-momentum tensor. Because the preferred background vector generates anisotropic terms, the resulting tensor is generally nonsymmetric.

The authors note that symmetry is required for direct compatibility with General Relativity. The standard Belinfante–Rosenfeld improvement procedure is not directly applicable because it relies on Lorentz symmetry, which is explicitly broken in the Myers–Pospelov framework. Consequently, the paper restricts its formalism to flat spacetime and identifies the construction of a suitable symmetric tensor as unresolved.