Hamiltonian structure and asymptotic symmetries of the Einstein-Maxwell system at spatial infinity
Hamiltonian structure and asymptotic symmetries of the Einstein-Maxwell system at spatial infinity
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DOI：
10.1007/jhep07(2018)171
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发表时间：
2018-07-30
影响因子：
5.4
通讯作者：
Troessaert, Cedric
中科院分区：
文献类型：
--
作者：
Henneaux, Marc;Troessaert, Cedric
我们提出了一套新的渐近条件，重力在空间无穷远，包括重力磁型的解决方案，允许一个非平凡的哈密顿行动的完整的BMS 4代数，并导致非发散行为的Weyl张量作为一个接近零无穷大。然后我们将分析推广到耦合Einstein-Maxwell系统，得到了作为正则实现的渐近对称代数的BMS 4代数与角相关u（1）变换的半直和.与每个渐近对称元素相关联的哈密顿电荷生成元被明确地写出。还讨论了在零无穷远处与匹配条件的关系。
We present a new set of asymptotic conditions for gravity at spatial infinity that includes gravitational magnetic-type solutions, allows for a non-trivial Hamiltonian action of the complete BMS4 algebra, and leads to a non-divergent behaviour of the Weyl tensor as one approaches null infinity. We then extend the analysis to the coupled Einstein-Maxwell system and obtain as canonically realized asymptotic symmetry algebra a semi-direct sum of the BMS4 algebra with the angle dependent u(1) transformations. The Hamiltonian charge-generator associated with each asymptotic symmetry element is explicitly written. The connection with matching conditions at null infinity is also discussed.