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arXiv 2004.03214gr-qchep-thmath-phmath.MP
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Fierz-Lanczos理论中的定域能

Localizing Energy in Fierz-Lanczos theory

Jacek Jezierski, Jerzy Kijowski, Marian Wiatr

摘要:

我们使用Fierz-Lanczos表示理论计算了无质量自旋2场所携带的能量。为此目的,哈密顿制定的领域动态进行了彻底的分析。能量的最终表达式非常类似于电动力学(自旋为1的场)中的麦克斯韦能量,并显示出局域性。这个量在引力理论中被称为"超能量“,它与人们熟知的引力场能量(在线性引力中,用A.D.M.的泰勒展开式中的二次项表示)有很大的不同。质量),无法定位。

英文摘要:

We calculate energy carried by the massless spin-2 field using Fierz-Lanczos representation of the theory. For this purpose Hamiltonian formulation of the field dynamic is thoroughly analyzed. Final expression for the energy is very much analogous to the Maxwell energy in electrodynamics (spin-1 field) and displays the locality property. Known as a ``super-energy'' in gravity theory, this quantity differs considerably from the well understood gravitational field energy (represented in linear gravity by the quadratic term in Taylor expansion of the A.D.M. mass) which cannot be localized.

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