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Energy–Momentum Pseudotensor and Superpotential for Generally Covariant Theories of Gravity of General Form

机译:能源动量伪传感器和超级能量,用于一般形式的重力的重心

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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.
机译:目前的论文致力于调查能量动量假囊(PEMT)的一般形式和相应的超级化。对这种理论的唯一要求是行动的一般协方差,而没有对其独立变量的衍生品顺序或其转型法的衍生品顺序的任何限制。由于广义挪威物程序,我们获得了方程的反复间链,其允许人们表达规范PEMT作为超级势的分歧。还给出了这种超级势的显式表达式。我们讨论所获得的表达的结构和通过运动方程独立(完全或部分)来满足所获得的表达的结构和派生的PEMT保护法的条件。还考虑了在动作中改变自动变量的理论的超级势形式的变形。我们将这些结果应用于一些有趣的特定情况:一般相对性及其修改,特别是模拟重力和regge-teitelboim嵌入重力。

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