On the unit component of the Newman-Unti group

DOI10.1088/1361-6382/ACB0A9zbMATH Open1518.83106arXiv2209.00321MaRDI QIDQ6409444

Publication date: 1 September 2022

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.

Mathematics Subject Classification ID

Relativistic cosmology (83F05) Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, (W)-algebras and other current algebras and their representations (81R10) Applications of Lie groups to the sciences; explicit representations (22E70) Asymptotic procedures (radiation, news functions, (mathcal{H} )-spaces, etc.) in general relativity and gravitational theory (83C30) Flatness and tameness of topological manifolds (57N45)

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