标题： 黑洞微扰的量子场论IV. 广义规范下的球对称二阶爱因斯坦-麦克斯韦 sector 显示英文标题

标题： Quantum Field Theory of Black Hole Perturbations with Backreaction IV. Spherically symmetric 2nd order Einstein-Maxwell sector in generalised gauges

摘要： 在本系列论文的先前工作中，我们在古拉斯特兰德-帕涅雷沃规范下，分析了爱因斯坦-麦克斯韦理论在球对称背景下的二阶扰动约化相空间方法，并验证了其与之前方法的一致性。 本文中，我们推广了这一结果，证明该分析可以在与古拉斯特兰德-帕涅雷沃规范兼容的背景变量规范中进行。我们得到了相同的约化哈密顿量结构，其中包含了著名的雷吉-惠勒势和泽里尼势。 讨论了这一推广的可能应用。 显示英文摘要

摘要： In previous papers of this series we analysed the reduced phase space approach to perturbations of Einstein-Maxwell theory to second order around spherically symmetric backgrounds in the Gullstrand Painlev\'e Gauge and confirmed consistency with previous approaches. In this paper we generalize this result and show that the analysis can be performed in gauges for the background variables compatible with the Gullstrand Painlev\'e gauge. We obtain the same structure for the reduced Hamiltonian that contains the well known Regge-Wheeler and Zerilli potentials. Possible applications of this generalization are discussed.