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Noether Currents and Maxwell-Type Equations of Motion in Higher Derivative Gravity Theories
Symmetry ( IF 2.2 ) Pub Date : 2021-08-02 , DOI: 10.3390/sym13081408 Taichiro Kugo
Symmetry ( IF 2.2 ) Pub Date : 2021-08-02 , DOI: 10.3390/sym13081408 Taichiro Kugo
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 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 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。
更新日期:2021-08-03
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