Most general flat space boundary conditions in three-dimensional Einstein gravity
Most general flat space boundary conditions in three-dimensional Einstein gravity
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DOI：
10.1088/1361-6382/aa8004
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发表时间：
2017-04
影响因子：
3.5
通讯作者：
D. Grumiller;Wout Merbis;M. Riegler
中科院分区：
文献类型：
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作者：
D. Grumiller;Wout Merbis;M. Riegler
我们考虑三维爱因斯坦引力中最一般的渐近平坦边界条件，在这个意义上，我们允许度规中独立自由函数的最大数目，导致六个边界电荷塔和六个相关的化学势。我们发现了一个ISL(2)k流代数作为伴随的渐近对称代数。用各种方法限制电荷和化学势可以恢复以前的情况，如BMS3，Heisenberg或Detournay-Riegler，所有这些情况都可以作为相应ADS3结构的收缩得到。最后，我们证明了平坦的空间收缩可以引起额外的Carrolian收缩。作为例子，我们给出了两组新的Carroll引力边界条件。
We consider the most general asymptotically flat boundary conditions in three-dimensional Einstein gravity in the sense that we allow for the maximal number of independent free functions in the metric, leading to six towers of boundary charges and six associated chemical potentials. We find as associated asymptotic symmetry algebra an isl(2)k current algebra. Restricting the charges and chemical potentials in various ways recovers previous cases, such as bms3, Heisenberg or Detournay–Riegler, all of which can be obtained as contractions of corresponding AdS3 constructions. Finally, we show that a flat space contraction can induce an additional Carrollian contraction. As examples we provide two novel sets of boundary conditions for Carroll gravity.