On the unit component of the Newman-Unti group
arXiv:2209.00321 · doi:10.1088/1361-6382/acb0a9
Abstract
In this short note we identify the unit component of the Newman--Unti (NU) group in the fine very strong topology. In previous work, this component has been endowed with an infinite-dimensional Lie group structure, while the full NU-group does not support such a structure.
arXiv comment4 pages, companion to arXiv:2109.11476, v2: Corrected typographical errors, results remain unchanged
References in corpus (5)
- Aspects of the BMS/CFT correspondence
- Symmetries of asymptotically flat 4 dimensional spacetimes at null infinity revisited
- Lie Theory for Asymptotic Symmetries in General Relativity: The BMS Group
- Strong topologies for spaces of smooth maps with infinite-dimensional target
- Lie Theory for Asymptotic Symmetries in General Relativity: The NU Group