Kerr black holes as elementary particles

Arkani-Hamed, Nima; Huang, Yu-tin; O’Connell, Donal

doi:10.1007/JHEP01(2020)046

Title: Kerr black holes as elementary particles

Journal Article · 07 January 2020 · Journal of High Energy Physics (Online)

DOI: https://doi.org/10.1007/JHEP01(2020)046 · OSTI ID:1596096

Arkani-Hamed, Nima ^[1]; Huang, Yu-tin ^[2]; O’Connell, Donal ^[3]

Inst. for Advanced Study, Princeton, NJ (United States); Institute for Advanced Study
National Taiwan Univ., Taipei (Taiwan); National Tsing Hua Univ., Hsinchu (Taiwan)
Univ. of Edinburgh, Scotland (United Kingdom)

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 $ \sqrt{\mathrm{Kerr}} $. 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 $ \sqrt{\mathrm{Kerr}} $ 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.

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Research Organization:: Inst. for Advanced Study, Princeton, NJ (United States)

Sponsoring Organization:: USDOE Office of Science (SC); Simons Foundation; Science and Technology Facilities Council (STFC)

Grant/Contract Number:: SC0009988

OSTI ID:: 1596096

Journal Information:: Journal of High Energy Physics (Online), Journal Name: Journal of High Energy Physics (Online) Journal Issue: 1 Vol. 2020; ISSN 1029-8479

Publisher:: Springer BerlinCopyright Statement

Country of Publication:: United States

Language:: English

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Cited By (4)

The classical double copy of a point charge Kim, Kwangeon; Lee, Kanghoon; Monteiro, Ricardo Journal of High Energy Physics, Vol. 2020, Issue 2 https://doi.org/10.1007/jhep02(2020)046	journal	February 2020
From boundary data to bound states. Part II. Scattering angle to dynamical invariants (with twist) Kälin, Gregor; Porto, Rafael A. Journal of High Energy Physics, Vol. 2020, Issue 2 https://doi.org/10.1007/jhep02(2020)120	journal	February 2020
From boundary data to bound states. Part II. Scattering angle to dynamical invariants (with twist) Kälin, Gregor; Porto, Rafael A. Deutsches Elektronen-Synchrotron, DESY, Hamburg https://doi.org/10.3204/pubdb-2020-01333	text	January 2020
The Classical Double Copy of a Point Charge Kim, Kwangeon; Lee, Kanghoon; Monteiro, Ricardo arXiv https://doi.org/10.48550/arxiv.1912.02177	text	January 2019

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