The current paper is devoted to the investigation of the general form of the energy–momentum pseudotensor (pEMT) and the corresponding superpotential for the wide class of theories. The only requirement for such a theory is the general covariance of the action without any restrictions on the order of derivatives of the independent variables in it or their transformation laws. As a result of the generalized Noether procedure, we obtain a recurrent chain of the equations, which allows one to express canonical pEMT as a divergence of the superpotential. The explicit expression for this superpotential is also given. We discuss the structure of the obtained expressions and the conditions for the derived pEMT conservation laws to be satisfied independently (fully or partially) by the equations of motion. Deformations of the superpotential form for theories with a change in the independent variables in action are also considered. We apply these results to some interesting particular cases: general relativity and its modifications, particularly mimetic gravity and Regge–Teitelboim embedding gravity.

中文翻译：

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一般形式重力一般协变理论的能量动量伪张量和超势

本论文致力于研究能量动量伪张量（pEMT）的一般形式以及各种理论的相应超能。对这种理论的唯一要求是动作的一般协方差，而不受其内自变量的导数顺序或其转换定律的任何限制。作为广义Noether程序的结果，我们获得了一个方程式的递归链，这使人们可以将正则pEMT表示为超势散度。还给出了该超势的显式表达式。我们讨论了所获得的表达式的结构以及导出的pEMT守恒律要通过运动方程独立（全部或部分）满足的条件。还考虑了作用中自变量变化的理论的超势形式的变形。我们将这些结果应用于一些有趣的特殊情况：广义相对论及其修改，尤其是模拟引力和Regge–Teitelboim嵌入引力。