The duality-symmetric, Maxwell-like, formulation of linearized gravity introduced by Barnett (New J Phys 16, 2014) is used to generalize the conservation laws for helicity, the spin part of angular momentum, and spin-flux, to the case of linearized gravity. These conservation laws have been shown to follow from the conservation property of the helicity array, an analog of Lipkin’s zilch tensor. The analog of the helicity array for linearized gravity is constructed and is shown to be conserved.

中文翻译：

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线性重力中的螺旋和自旋守恒

Barnett (New J Phys 16, 2014) 引入的线性化重力的对偶对称、类麦克斯韦公式用于将螺旋性、角动量的自旋部分和自旋通量的守恒定律推广到以下情况：线性化重力。这些守恒定律已被证明遵循螺旋阵列的守恒性质，螺旋阵列是利普金 zilch 张量的类似物。构造了线性化重力的螺旋度阵列的模拟，并证明是守恒的。