In general coordinate invariant gravity theories whose Lagrangians contain arbitrarily high order derivative fields, the Noether currents for the global translation and for the Nakanishi’s $IOSp\left(8\right|8)$ choral symmetry containing the BRS symmetry as its member are constructed. We generally show that for each of these Noether currents, a suitable linear combination of equations of motion can be brought into the form of a Maxwell-type field equation possessing the Noether current as its source term.

中文翻译：

---

高导引力理论中的诺特电流和麦克斯韦型运动方程

在一般坐标不变引力理论中，其拉格朗日量包含任意高阶导数场，用于全局平移和 Nakanishi 的 Noether 电流 $\mathrm{一世}哦秒磷\left(8\right|8)$构建了包含 BRS 对称性作为其成员的合唱对称性。我们通常表明，对于这些诺特电流中的每一个，运动方程的合适线性组合可以带入麦克斯韦型场方程的形式，该方程具有诺特电流作为其源项。