论文标题
能量弹药伪转化器和超电势，用于一般形式的重力理论
Energy-momentum pseudotensor and superpotential for generally covariant theories of gravity of general form
论文作者
论文摘要
当前的论文致力于研究能量弹药的一般形式（PEMT）和广泛理论类别的相应超电势。对这种理论的唯一要求是行动的一般协方差，而没有对IT自变量或其转型定律的衍生物顺序的任何限制。由于通用的Noether程序，我们获得了方程式的复发链，该链使人们能够以典范的pemt表示超势的差异。还给出了此超电势的显式表达。我们讨论了所获得的表达式的结构以及派生的PEMT保护定律的条件以及运动方程方程的独立满足。还考虑了动作中自变量改变的理论的超电球形式的变形。我们将这些结果应用于一些有趣的特定情况：一般相对论及其修饰，尤其是模拟物重力和regge-teitelboim嵌入重力。
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) of the equations of motion. Deformations of the superpotential form for theories with a change of the independent variables in the 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.
