English

Comparison of definitions of angular momentum at null infinity

General Relativity and Quantum Cosmology 2025-02-17 v1

Abstract

The supertranslation ambiguity of angular momentum at null infinity creates a technical difficulty in choosing the proper definition for this conserved quantity. As a result, many different approaches are found in the literature. This article aims to review the most relevant of these notions and compare their most significant properties. A new definition of angular momentum at null infinity is also proposed, which is supertranslation invariant under certain assumptions.

Keywords

Cite

@article{arxiv.2502.10105,
  title  = {Comparison of definitions of angular momentum at null infinity},
  author = {Szymon Bagiński and Jacek Jezierski},
  journal= {arXiv preprint arXiv:2502.10105},
  year   = {2025}
}