Kerr black holes as elementary particles
By N. Arkani-Hamed, Yu-tin Huang, D. O’Connell. Journal of High Energy Physics, 2019
211 citations recorded by the source corpus.
Long ago, Newman and Janis showed that a complex deformation z → z + ia of the Schwarzschild solution produces the Kerr solution. The underlying explanation for this relationship has remained obscure. The complex deformation has an electromagnetic counterpart: by shifting the Coloumb potential, we obtain the EM field of a certain rotating charge distribution which we term Kerr\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$ \sqrt{\mathrm{Kerr}} $$\end{document}. In this note, we identify the origin of this shift as arising from the exponentiation of spin operators for the recently defined “minimally coupled” three-particle amplitudes of spinning particles coupled to gravity, in the large- spin limit. We demonstrate this by studying the impulse imparted to a test particle in the background of the heavy spinning particle. We first consider the electromagnetic case, where the impulse due to Kerr\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$ \sqrt{\mathrm{Kerr}} $$\end{document} is reproduced by a charged spinning particle; the shift of the Coloumb potential is matched to the exponentiated spin-factor appearing in the amplitude. The known impulse due to the Kerr black hole is then trivially derived from the gravitationally coupled spinning particle via the double copy.
Subfields: Astronomy and Astrophysics
View Paper: https://www.semanticscholar.org/paper/2b516fb3aa7c06a1241db1f7a70593a9c1a5c2fc
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In Astronomy and Astrophysics
Citations in the corpus
- A novel family of rotating black hole mimickers (2021, background): “More recently, further insight has come from the study of scattering amplitudes [44, 45].”
- Radiative contribution to classical gravitational scattering at the third order in G (2020, unknown): “[26–34] for PM-type works on spinning bodies.”
- Classical and quantum scattering in post-Minkowskian gravity (2019, background): “] Let us also mention some further (partly conjectural) work concerning the link between the gravitational scattering amplitude of spinning particles and the classical gravitational interaction of Kerr black holes [29–33], as well as work on the computation of classically measurable quantities from ”